%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU800^2 : 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 : n027.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 08:53:15 AM UTC 2026 % Result : Theorem 0.35s 0.56s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU800^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:52:36 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.35/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.56 % SZS status Theorem % 0.35/0.56 % SZS output start Proof % 0.35/0.56 ( % 0.35/0.56 (declare-sort $$unsorted 0) % 0.35/0.56 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.56 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.35/0.56 (declare-const tptp.dsetconstrER Bool) % 0.35/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.35/0.56 (define tptp.injFuncSet () (let ((_let_1 (@var "Xf" $$unsorted))) (let ((_let_2 (@var "B" $$unsorted))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ (_ tptp.dsetconstr (_ (_ tptp.funcSet _let_3) _let_2)) (lambda (@list _let_1) (_ (_ (_ tptp.injective _let_3) _let_2) _let_1)))))))) % 0.35/0.56 (define @t1 () (@var "Xx" $$unsorted)) % 0.35/0.56 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.35/0.56 (define @t3 () (_ @t2 @t1)) % 0.35/0.56 (define @t4 () (@var "Xy" $$unsorted)) % 0.35/0.56 (define @t5 () (_ @t2 @t4)) % 0.35/0.56 (define @t6 () (@list @t4)) % 0.35/0.56 (define @t7 () (lambda @t6 @t5)) % 0.35/0.56 (define @t8 () (@var "A" $$unsorted)) % 0.35/0.56 (define @t9 () (_ tptp.dsetconstr @t8)) % 0.35/0.56 (define @t10 () (_ @t9 @t7)) % 0.35/0.56 (define @t11 () (_ tptp.in @t1)) % 0.35/0.56 (define @t12 () (_ @t11 @t10)) % 0.35/0.56 (define @t13 () (@list @t8 @t2 @t1)) % 0.35/0.56 (define @t14 () (forall @t13 (=> @t12 @t3))) % 0.35/0.56 (define @t15 () (= tptp.dsetconstrER @t14)) % 0.35/0.56 (define @t16 () (@var "Xf" $$unsorted)) % 0.35/0.56 (define @t17 () (_ tptp.injective @t1)) % 0.35/0.56 (define @t18 () (_ @t17 @t4)) % 0.35/0.56 (define @t19 () (_ @t18 @t16)) % 0.35/0.56 (define @t20 () (_ tptp.in @t16)) % 0.35/0.56 (define @t21 () (=> (_ @t20 (_ (_ tptp.injFuncSet @t1) @t4)) @t19)) % 0.35/0.56 (define @t22 () (@list @t1 @t4 @t16)) % 0.35/0.56 (define @t23 () (forall @t22 @t21)) % 0.35/0.56 (define @t24 () (=> tptp.dsetconstrER @t23)) % 0.35/0.56 (define @t25 () (not @t24)) % 0.35/0.56 (define @t26 () (@var "B" $$unsorted)) % 0.35/0.56 (define @t27 () (@list @t16)) % 0.35/0.56 (define @t28 () (lambda (@list @t8 @t26) (_ (_ tptp.dsetconstr (_ (_ tptp.funcSet @t8) @t26)) (lambda @t27 (_ (_ (_ tptp.injective @t8) @t26) @t16))))) % 0.35/0.56 (define @t29 () (tptp.injective @t1 @t4 @t16)) % 0.35/0.56 (define @t30 () (@var "BOUND_VARIABLE_7509" $$unsorted)) % 0.35/0.56 (define @t31 () (tptp.injective @t1 @t4 @t30)) % 0.35/0.56 (define @t32 () (@list @t30)) % 0.35/0.56 (define @t33 () (lambda @t32 @t31)) % 0.35/0.56 (define @t34 () (tptp.funcSet @t1 @t4)) % 0.35/0.56 (define @t35 () (tptp.dsetconstr @t34 @t33)) % 0.35/0.56 (define @t36 () (tptp.in @t16 @t35)) % 0.35/0.56 (define @t37 () (forall @t22 (or (not @t36) @t29))) % 0.35/0.56 (define @t38 () (_ @t2 @t1)) % 0.35/0.56 (define @t39 () (_ @t2 @t4)) % 0.35/0.56 (define @t40 () (lambda @t6 @t39)) % 0.35/0.56 (define @t41 () (tptp.dsetconstr @t8 @t40)) % 0.35/0.56 (define @t42 () (tptp.in @t1 @t41)) % 0.35/0.56 (define @t43 () (not @t42)) % 0.35/0.56 (define @t44 () (or @t43 @t38)) % 0.35/0.56 (define @t45 () (not @t12)) % 0.35/0.56 (define @t46 () (or @t45 @t3)) % 0.35/0.56 (define @t47 () (=> tptp.dsetconstrER @t37)) % 0.35/0.56 (define @t48 () (_ @t18 @t30)) % 0.35/0.56 (define @t49 () (lambda @t32 @t48)) % 0.35/0.56 (define @t50 () (_ tptp.funcSet @t1)) % 0.35/0.56 (define @t51 () (_ @t50 @t4)) % 0.35/0.56 (define @t52 () (_ tptp.dsetconstr @t51)) % 0.35/0.56 (define @t53 () (_ @t52 @t49)) % 0.35/0.56 (define @t54 () (_ @t20 @t53)) % 0.35/0.56 (define @t55 () (not @t54)) % 0.35/0.56 (define @t56 () (or @t55 @t19)) % 0.35/0.56 (define @t57 () (lambda @t27 @t19)) % 0.35/0.56 (define @t58 () (_ @t52 @t57)) % 0.35/0.56 (define @t59 () (=> (_ @t20 @t58) @t19)) % 0.35/0.56 (define @t60 () (lambda (@list @t26) (_ (_ tptp.dsetconstr (_ @t50 @t26)) (lambda @t27 (_ (_ @t17 @t26) @t16))))) % 0.35/0.56 (define @t61 () (_ @t28 @t1)) % 0.35/0.56 (define @t62 () (=> (_ @t20 (_ @t61 @t4)) @t19)) % 0.35/0.56 (define @t63 () (forall @t22 @t62)) % 0.35/0.56 (define @t64 () (=> tptp.dsetconstrER @t63)) % 0.35/0.56 (define @t65 () (@quantifiers_skolemize @t37 2)) % 0.35/0.56 (define @t66 () (@quantifiers_skolemize @t37 1)) % 0.35/0.56 (define @t67 () (@quantifiers_skolemize @t37 0)) % 0.35/0.56 (define @t68 () (tptp.injective @t67 @t66 @t65)) % 0.35/0.56 (define @t69 () (_ (_ tptp.injective @t67) @t66)) % 0.35/0.56 (define @t70 () (tptp.funcSet @t67 @t66)) % 0.35/0.56 (define @t71 () (not (tptp.in @t65 (tptp.dsetconstr @t70 @t69)))) % 0.35/0.56 (define @t72 () (or @t71 @t68)) % 0.35/0.56 (define @t73 () (not @t72)) % 0.35/0.56 (define @t74 () (not @t37)) % 0.35/0.56 (define @t75 () (lambda @t32 (tptp.injective @t67 @t66 @t30))) % 0.35/0.56 (define @t76 () (tptp.dsetconstr @t70 @t75)) % 0.35/0.56 (define @t77 () (tptp.in @t65 @t76)) % 0.35/0.56 (define @t78 () (not @t77)) % 0.35/0.56 (define @t79 () (or @t78 @t68)) % 0.35/0.56 (define @t80 () (not @t79)) % 0.35/0.56 (define @t81 () (_ @t69 @t65)) % 0.35/0.56 (define @t82 () (or @t71 @t81)) % 0.35/0.56 (define @t83 () (forall @t13 (or (not (tptp.in @t1 (tptp.dsetconstr @t8 @t2))) @t38))) % 0.35/0.56 (define @t84 () (_ @t69 @t65)) % 0.35/0.56 (define @t85 () (or @t71 @t84)) % 0.35/0.56 (assume @p1 @t15) % 0.35/0.56 (assume @p2 @t25) % 0.35/0.56 (assume @p3 true) % 0.35/0.56 (step @p4 (= tptp.injFuncSet @t28) :rule refl :args (@t28)) % 0.35/0.56 (step @p5 :rule refl :args (@t37)) % 0.35/0.56 (step @p6 :rule refl :args (@t38)) % 0.35/0.56 (step @p7 :rule lambda-elim :args ((= @t40 @t2))) % 0.35/0.56 (step @p8 :rule refl :args (@t8)) % 0.35/0.56 (step @p9 :rule cong :premises (@p8 @p7) :args (@t41)) % 0.35/0.56 (step @p10 :rule refl :args (@t1)) % 0.35/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args (@t42)) % 0.35/0.56 (step @p12 :rule cong :premises (@p11) :args (@t43)) % 0.35/0.56 (step @p13 :rule nary_cong :premises (@p12 @p6) :args (@t44)) % 0.35/0.56 (step @p14 :rule cong :premises (@p13) :args ((forall @t13 @t44))) % 0.35/0.56 (step @p15 :rule refl :args (@t38)) % 0.35/0.56 (step @p16 :rule refl :args (@t3)) % 0.35/0.56 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t3 @t38))) % 0.35/0.56 (step @p18 :rule symm :premises (@p17)) % 0.35/0.56 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.35/0.56 (step @p20 :rule refl :args ((tptp.in @t1 @t10))) % 0.35/0.56 (step @p21 :rule refl :args ((tptp.dsetconstr @t8 @t7))) % 0.35/0.56 (step @p22 :rule refl :args (@t39)) % 0.35/0.56 (step @p23 :rule cong :premises (@p22) :args (@t40)) % 0.35/0.56 (step @p24 :rule refl :args (@t8)) % 0.35/0.56 (step @p25 :rule cong :premises (@p24 @p23) :args (@t41)) % 0.35/0.56 (step @p26 :rule trans :premises (@p25 @p21)) % 0.35/0.56 (step @p27 :rule refl :args (@t1)) % 0.35/0.56 (step @p28 :rule cong :premises (@p27 @p26) :args (@t42)) % 0.35/0.56 (step @p29 :rule trans :premises (@p28 @p20)) % 0.35/0.56 (step @p30 :rule refl :args (@t11)) % 0.35/0.56 (step @p31 :rule ho_cong :premises (@p30 @p26)) % 0.35/0.56 (step @p32 :rule cong :premises (@p31 @p29) :args ((= (_ @t11 @t41) @t42))) % 0.35/0.56 (step @p33 :rule symm :premises (@p32)) % 0.35/0.56 (step @p34 :rule refl :args (@t12)) % 0.35/0.56 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.35/0.56 (step @p36 :rule refl :args (@t9)) % 0.35/0.56 (step @p37 :rule ho_cong :premises (@p36 @p23)) % 0.35/0.56 (step @p38 :rule cong :premises (@p37 @p26) :args ((= (_ @t9 @t40) @t41))) % 0.35/0.56 (step @p39 :rule symm :premises (@p38)) % 0.35/0.56 (step @p40 :rule refl :args (@t10)) % 0.35/0.56 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.35/0.56 (step @p42 :rule refl :args (@t5)) % 0.35/0.56 (step @p43 :rule cong :premises (@p42 @p22) :args ((= @t5 @t39))) % 0.35/0.56 (step @p44 :rule symm :premises (@p43)) % 0.35/0.56 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.35/0.56 (step @p46 :rule cong :premises (@p45) :args (@t7)) % 0.35/0.56 (step @p47 :rule ho_cong :premises (@p36 @p46)) % 0.35/0.56 (step @p48 :rule trans :premises (@p47 @p41)) % 0.35/0.56 (step @p49 :rule ho_cong :premises (@p30 @p48)) % 0.35/0.56 (step @p50 :rule trans :premises (@p49 @p35)) % 0.35/0.56 (step @p51 :rule cong :premises (@p50) :args (@t45)) % 0.35/0.56 (step @p52 :rule nary_cong :premises (@p51 @p19) :args (@t46)) % 0.35/0.56 (step @p53 :rule cong :premises (@p52) :args ((forall @t13 @t46))) % 0.35/0.56 (step @p54 :rule trans :premises (@p53 @p14)) % 0.35/0.56 (step @p55 :rule bool-impl-elim :args (@t12 @t3)) % 0.35/0.56 (step @p56 :rule cong :premises (@p55) :args (@t14)) % 0.35/0.56 (step @p57 :rule trans :premises (@p56 @p54)) % 0.35/0.56 (step @p58 :rule refl :args (tptp.dsetconstrER)) % 0.35/0.56 (step @p59 :rule cong :premises (@p58 @p57) :args (@t15)) % 0.35/0.56 (step @p60 :rule eq_resolve :premises (@p1 @p59)) % 0.35/0.56 (step @p61 :rule cong :premises (@p60 @p5) :args (@t47)) % 0.35/0.56 (step @p62 :rule cong :premises (@p61) :args ((not @t47))) % 0.35/0.56 (step @p63 :rule refl :args (@t29)) % 0.35/0.56 (step @p64 :rule refl :args (@t19)) % 0.35/0.56 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t19 @t29))) % 0.35/0.56 (step @p66 :rule symm :premises (@p65)) % 0.35/0.56 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.35/0.56 (step @p68 :rule refl :args ((tptp.in @t16 @t53))) % 0.35/0.56 (step @p69 :rule refl :args ((tptp.dsetconstr @t51 @t49))) % 0.35/0.56 (step @p70 :rule refl :args (@t31)) % 0.35/0.56 (step @p71 :rule cong :premises (@p70) :args (@t33)) % 0.35/0.56 (step @p72 :rule refl :args (@t34)) % 0.35/0.56 (step @p73 :rule cong :premises (@p72 @p71) :args (@t35)) % 0.35/0.56 (step @p74 :rule trans :premises (@p73 @p69)) % 0.35/0.56 (step @p75 :rule refl :args (@t16)) % 0.35/0.56 (step @p76 :rule cong :premises (@p75 @p74) :args (@t36)) % 0.35/0.56 (step @p77 :rule trans :premises (@p76 @p68)) % 0.35/0.56 (step @p78 :rule refl :args (@t20)) % 0.35/0.56 (step @p79 :rule ho_cong :premises (@p78 @p74)) % 0.35/0.56 (step @p80 :rule cong :premises (@p79 @p77) :args ((= (_ @t20 @t35) @t36))) % 0.35/0.56 (step @p81 :rule symm :premises (@p80)) % 0.35/0.56 (step @p82 :rule refl :args (@t54)) % 0.35/0.56 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.35/0.56 (step @p84 :rule refl :args (tptp.dsetconstr)) % 0.35/0.56 (step @p85 :rule ho_cong :premises (@p84 @p72)) % 0.35/0.56 (step @p86 :rule ho_cong :premises (@p85 @p71)) % 0.35/0.56 (step @p87 :rule cong :premises (@p86 @p74) :args ((= (_ (_ tptp.dsetconstr @t34) @t33) @t35))) % 0.35/0.56 (step @p88 :rule symm :premises (@p87)) % 0.35/0.56 (step @p89 :rule refl :args (@t53)) % 0.35/0.56 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.35/0.56 (step @p91 :rule refl :args (@t48)) % 0.35/0.56 (step @p92 :rule cong :premises (@p91 @p70) :args ((= @t48 @t31))) % 0.35/0.56 (step @p93 :rule symm :premises (@p92)) % 0.35/0.56 (step @p94 :rule eq_resolve :premises (@p91 @p93)) % 0.35/0.56 (step @p95 :rule cong :premises (@p94) :args (@t49)) % 0.35/0.56 (step @p96 :rule refl :args (@t51)) % 0.35/0.56 (step @p97 :rule cong :premises (@p96 @p72) :args ((= @t51 @t34))) % 0.35/0.56 (step @p98 :rule symm :premises (@p97)) % 0.35/0.56 (step @p99 :rule eq_resolve :premises (@p96 @p98)) % 0.35/0.56 (step @p100 :rule ho_cong :premises (@p84 @p99)) % 0.35/0.56 (step @p101 :rule ho_cong :premises (@p100 @p95)) % 0.35/0.56 (step @p102 :rule trans :premises (@p101 @p90)) % 0.35/0.56 (step @p103 :rule ho_cong :premises (@p78 @p102)) % 0.35/0.56 (step @p104 :rule trans :premises (@p103 @p83)) % 0.35/0.56 (step @p105 :rule cong :premises (@p104) :args (@t55)) % 0.35/0.56 (step @p106 :rule nary_cong :premises (@p105 @p67) :args (@t56)) % 0.35/0.56 (step @p107 :rule cong :premises (@p106) :args ((forall @t22 @t56))) % 0.35/0.56 (step @p108 :rule bool-impl-elim :args (@t54 @t19)) % 0.35/0.56 (step @p109 :rule cong :premises (@p108) :args ((forall @t22 (=> @t54 @t19)))) % 0.35/0.56 (step @p110 :rule trans :premises (@p109 @p107)) % 0.35/0.56 (step @p111 :rule alpha_equiv :args (@t57 (@list @t16) (@list @t30))) % 0.35/0.56 (step @p112 :rule refl :args (@t52)) % 0.35/0.56 (step @p113 :rule ho_cong :premises (@p112 @p111)) % 0.35/0.56 (step @p114 :rule ho_cong :premises (@p78 @p113)) % 0.35/0.56 (step @p115 :rule cong :premises (@p114 @p64) :args (@t59)) % 0.35/0.56 (step @p116 :rule cong :premises (@p115) :args ((forall @t22 @t59))) % 0.35/0.56 (step @p117 :rule trans :premises (@p116 @p110)) % 0.35/0.56 (step @p118 :rule refl :args (@t19)) % 0.35/0.56 (step @p119 :rule beta-reduce :args ((= (_ @t60 @t4) @t58))) % 0.35/0.56 (step @p120 :rule refl :args (@t4)) % 0.35/0.56 (step @p121 :rule beta-reduce :args ((= @t61 @t60))) % 0.35/0.56 (step @p122 :rule ho_cong :premises (@p121 @p120)) % 0.35/0.56 (step @p123 :rule trans :premises (@p122 @p119)) % 0.35/0.56 (step @p124 :rule refl :args (@t20)) % 0.35/0.56 (step @p125 :rule ho_cong :premises (@p124 @p123)) % 0.35/0.56 (step @p126 :rule cong :premises (@p125 @p118) :args (@t62)) % 0.35/0.56 (step @p127 :rule cong :premises (@p126) :args (@t63)) % 0.35/0.56 (step @p128 :rule trans :premises (@p127 @p117)) % 0.35/0.56 (step @p129 :rule cong :premises (@p58 @p128) :args (@t64)) % 0.35/0.56 (step @p130 :rule cong :premises (@p129) :args ((not @t64))) % 0.35/0.56 (step @p131 :rule ho_cong :premises (@p4 @p10)) % 0.35/0.56 (step @p132 :rule ho_cong :premises (@p131 @p120)) % 0.35/0.56 (step @p133 :rule ho_cong :premises (@p124 @p132)) % 0.35/0.56 (step @p134 :rule cong :premises (@p133 @p118) :args (@t21)) % 0.35/0.56 (step @p135 :rule cong :premises (@p134) :args (@t23)) % 0.35/0.56 (step @p136 :rule cong :premises (@p58 @p135) :args (@t24)) % 0.35/0.56 (step @p137 :rule cong :premises (@p136) :args (@t25)) % 0.35/0.56 (step @p138 :rule trans :premises (@p137 @p130)) % 0.35/0.56 (step @p139 :rule trans :premises (@p138 @p62)) % 0.35/0.56 (step @p140 :rule eq_resolve :premises (@p2 @p139)) % 0.35/0.56 (step @p141 :rule not_implies_elim1 :premises (@p140)) % 0.35/0.56 (step @p142 :rule not_implies_elim2 :premises (@p140)) % 0.35/0.56 (step @p143 :rule refl :args (@t73)) % 0.35/0.56 (step @p144 :rule bool-double-not-elim :args (@t37)) % 0.35/0.56 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or (not @t74) @t73))) % 0.35/0.56 (step @p146 :rule refl :args (@t68)) % 0.35/0.56 (step @p147 :rule lambda-elim :args ((= @t75 @t69))) % 0.35/0.56 (step @p148 :rule refl :args (@t70)) % 0.35/0.56 (step @p149 :rule cong :premises (@p148 @p147) :args (@t76)) % 0.35/0.56 (step @p150 :rule refl :args (@t65)) % 0.35/0.56 (step @p151 :rule cong :premises (@p150 @p149) :args (@t77)) % 0.35/0.56 (step @p152 :rule cong :premises (@p151) :args (@t78)) % 0.35/0.56 (step @p153 :rule nary_cong :premises (@p152 @p146) :args (@t79)) % 0.35/0.56 (step @p154 :rule cong :premises (@p153) :args (@t80)) % 0.35/0.56 (step @p155 :rule refl :args (@t74)) % 0.35/0.56 (step @p156 :rule cong :premises (@p155 @p154) :args ((=> @t74 @t80))) % 0.35/0.56 (assume-push @p185 @t74) % 0.35/0.56 (step @p158 :rule skolemize :premises (@p142)) % 0.35/0.56 (step-pop @p186 :rule scope :premises (@p158)) % 0.35/0.56 (step @p159 :rule process_scope :premises (@p186) :args (@t80)) % 0.35/0.56 (step @p161 :rule eq_resolve :premises (@p159 @p156)) % 0.35/0.56 (step @p162 :rule implies_elim :premises (@p161)) % 0.35/0.56 (step @p163 :rule eq_resolve :premises (@p162 @p145)) % 0.35/0.56 (step @p164 :rule chain_m_resolution :premises (@p163 @p142) :args (@t73 (@list true) (@list @t37))) % 0.35/0.56 (step @p165 :rule refl :args (@t68)) % 0.35/0.56 (step @p166 :rule refl :args (@t81)) % 0.35/0.56 (step @p167 :rule cong :premises (@p166 @p165) :args ((= @t81 @t68))) % 0.35/0.56 (step @p168 :rule symm :premises (@p167)) % 0.35/0.56 (step @p169 :rule eq_resolve :premises (@p166 @p168)) % 0.35/0.56 (step @p170 :rule refl :args (@t71)) % 0.35/0.56 (step @p171 :rule nary_cong :premises (@p170 @p169) :args (@t82)) % 0.35/0.56 (step @p172 :rule refl :args (@t83)) % 0.35/0.56 (step @p173 :rule cong :premises (@p172 @p171) :args ((=> @t83 @t82))) % 0.35/0.56 (step @p174 :rule refl :args (@t84)) % 0.35/0.56 (step @p175 :rule nary_cong :premises (@p170 @p174) :args (@t85)) % 0.35/0.56 (step @p176 :rule cong :premises (@p172 @p175) :args ((=> @t83 @t85))) % 0.35/0.56 (assume-push @p187 @t83) % 0.35/0.56 (step @p178 :rule instantiate :premises (@p141) :args ((@list @t70 @t69 @t65))) % 0.35/0.56 (step-pop @p188 :rule scope :premises (@p178)) % 0.35/0.56 (step @p179 :rule process_scope :premises (@p188) :args (@t85)) % 0.35/0.56 (step @p181 :rule eq_resolve :premises (@p179 @p176)) % 0.35/0.56 (step @p182 :rule eq_resolve :premises (@p181 @p173)) % 0.35/0.56 (step @p183 :rule implies_elim :premises (@p182)) % 0.35/0.56 (step @p184 false :rule chain_m_resolution :premises (@p183 @p164 @p141) :args (false (@list true false) (@list @t72 @t83))) % 0.35/0.56 ) % 0.35/0.56 % SZS output end Proof % 0.35/0.56 % cvc5 exiting %------------------------------------------------------------------------------