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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU799^2 : 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 : n002.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 0.36s 0.56s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU799^2 : TPTP v9.2.1. Released v3.7.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n002.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 17:52:18 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.28/0.49  %----Proving TH0
% 0.36/0.56  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.36/0.56  % SZS status Theorem
% 0.36/0.56  % SZS output start Proof
% 0.36/0.56  (
% 0.36/0.56  (declare-sort $$unsorted 0)
% 0.36/0.56  (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.36/0.56  (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.56  (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted))
% 0.36/0.56  (declare-const tptp.dsetconstrEL Bool)
% 0.36/0.56  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.36/0.56  (define tptp.injFuncSet () (let ((_let_1 (@var "Xf" $$unsorted))) (let ((_let_2 (@var "B" $$unsorted))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ (_ tptp.dsetconstr (_ (_ tptp.funcSet _let_3) _let_2)) (lambda (@list _let_1) (_ (_ (_ tptp.injective _let_3) _let_2) _let_1))))))))
% 0.36/0.56  (define @t1 () (@var "A" $$unsorted))
% 0.36/0.56  (define @t2 () (@var "Xx" $$unsorted))
% 0.36/0.56  (define @t3 () (_ tptp.in @t2))
% 0.36/0.56  (define @t4 () (_ @t3 @t1))
% 0.36/0.56  (define @t5 () (@var "Xy" $$unsorted))
% 0.36/0.56  (define @t6 () (@var "Xphi" (-> $$unsorted Bool)))
% 0.36/0.56  (define @t7 () (_ @t6 @t5))
% 0.36/0.56  (define @t8 () (@list @t5))
% 0.36/0.56  (define @t9 () (lambda @t8 @t7))
% 0.36/0.56  (define @t10 () (_ tptp.dsetconstr @t1))
% 0.36/0.56  (define @t11 () (_ @t10 @t9))
% 0.36/0.56  (define @t12 () (_ @t3 @t11))
% 0.36/0.56  (define @t13 () (@list @t1 @t6 @t2))
% 0.36/0.56  (define @t14 () (forall @t13 (=> @t12 @t4)))
% 0.36/0.56  (define @t15 () (= tptp.dsetconstrEL @t14))
% 0.36/0.56  (define @t16 () (@var "B" $$unsorted))
% 0.36/0.56  (define @t17 () (_ (_ tptp.funcSet @t1) @t16))
% 0.36/0.56  (define @t18 () (@var "Xf" $$unsorted))
% 0.36/0.56  (define @t19 () (_ tptp.in @t18))
% 0.36/0.56  (define @t20 () (_ @t19 @t17))
% 0.36/0.56  (define @t21 () (=> (_ @t19 (_ (_ tptp.injFuncSet @t1) @t16)) @t20))
% 0.36/0.56  (define @t22 () (@list @t1 @t16 @t18))
% 0.36/0.56  (define @t23 () (forall @t22 @t21))
% 0.36/0.56  (define @t24 () (=> tptp.dsetconstrEL @t23))
% 0.36/0.56  (define @t25 () (not @t24))
% 0.36/0.56  (define @t26 () (_ (_ tptp.injective @t1) @t16))
% 0.36/0.56  (define @t27 () (lambda (@list @t18) (_ @t26 @t18)))
% 0.36/0.56  (define @t28 () (_ tptp.dsetconstr @t17))
% 0.36/0.56  (define @t29 () (_ @t28 @t27))
% 0.36/0.56  (define @t30 () (lambda (@list @t1 @t16) @t29))
% 0.36/0.56  (define @t31 () (tptp.funcSet @t1 @t16))
% 0.36/0.56  (define @t32 () (tptp.in @t18 @t31))
% 0.36/0.56  (define @t33 () (@var "BOUND_VARIABLE_7495" $$unsorted))
% 0.36/0.56  (define @t34 () (tptp.injective @t1 @t16 @t33))
% 0.36/0.56  (define @t35 () (@list @t33))
% 0.36/0.56  (define @t36 () (lambda @t35 @t34))
% 0.36/0.56  (define @t37 () (tptp.dsetconstr @t31 @t36))
% 0.36/0.56  (define @t38 () (tptp.in @t18 @t37))
% 0.36/0.56  (define @t39 () (forall @t22 (or (not @t38) @t32)))
% 0.36/0.56  (define @t40 () (tptp.in @t2 @t1))
% 0.36/0.56  (define @t41 () (_ @t6 @t5))
% 0.36/0.56  (define @t42 () (lambda @t8 @t41))
% 0.36/0.56  (define @t43 () (tptp.dsetconstr @t1 @t42))
% 0.36/0.56  (define @t44 () (tptp.in @t2 @t43))
% 0.36/0.56  (define @t45 () (not @t44))
% 0.36/0.56  (define @t46 () (or @t45 @t40))
% 0.36/0.56  (define @t47 () (not @t12))
% 0.36/0.56  (define @t48 () (or @t47 @t4))
% 0.36/0.56  (define @t49 () (=> tptp.dsetconstrEL @t39))
% 0.36/0.56  (define @t50 () (_ @t26 @t33))
% 0.36/0.56  (define @t51 () (lambda @t35 @t50))
% 0.36/0.56  (define @t52 () (_ @t28 @t51))
% 0.36/0.56  (define @t53 () (_ @t19 @t52))
% 0.36/0.56  (define @t54 () (not @t53))
% 0.36/0.56  (define @t55 () (or @t54 @t20))
% 0.36/0.56  (define @t56 () (=> (_ @t19 @t29) @t20))
% 0.36/0.56  (define @t57 () (lambda (@list @t16) @t29))
% 0.36/0.56  (define @t58 () (_ @t30 @t1))
% 0.36/0.56  (define @t59 () (=> (_ @t19 (_ @t58 @t16)) @t20))
% 0.36/0.56  (define @t60 () (forall @t22 @t59))
% 0.36/0.56  (define @t61 () (=> tptp.dsetconstrEL @t60))
% 0.36/0.56  (define @t62 () (@quantifiers_skolemize @t39 1))
% 0.36/0.56  (define @t63 () (@quantifiers_skolemize @t39 0))
% 0.36/0.56  (define @t64 () (tptp.funcSet @t63 @t62))
% 0.36/0.56  (define @t65 () (@quantifiers_skolemize @t39 2))
% 0.36/0.56  (define @t66 () (tptp.in @t65 @t64))
% 0.36/0.56  (define @t67 () (_ (_ tptp.injective @t63) @t62))
% 0.36/0.56  (define @t68 () (or (not (tptp.in @t65 (tptp.dsetconstr @t64 @t67))) @t66))
% 0.36/0.56  (define @t69 () (not @t68))
% 0.36/0.56  (define @t70 () (not @t39))
% 0.36/0.56  (define @t71 () (lambda @t35 (tptp.injective @t63 @t62 @t33)))
% 0.36/0.56  (define @t72 () (tptp.dsetconstr @t64 @t71))
% 0.36/0.56  (define @t73 () (tptp.in @t65 @t72))
% 0.36/0.56  (define @t74 () (not @t73))
% 0.36/0.56  (define @t75 () (or @t74 @t66))
% 0.36/0.56  (define @t76 () (not @t75))
% 0.36/0.56  (define @t77 () (forall @t13 (or (not (tptp.in @t2 (tptp.dsetconstr @t1 @t6))) @t40)))
% 0.36/0.56  (assume @p1 @t15)
% 0.36/0.56  (assume @p2 @t25)
% 0.36/0.56  (assume @p3 true)
% 0.36/0.56  (step @p4 (= tptp.injFuncSet @t30) :rule refl :args (@t30))
% 0.36/0.56  (step @p5 :rule refl :args (@t39))
% 0.36/0.56  (step @p6 :rule refl :args (@t40))
% 0.36/0.56  (step @p7 :rule lambda-elim :args ((= @t42 @t6)))
% 0.36/0.56  (step @p8 :rule refl :args (@t1))
% 0.36/0.56  (step @p9 :rule cong :premises (@p8 @p7) :args (@t43))
% 0.36/0.56  (step @p10 :rule refl :args (@t2))
% 0.36/0.56  (step @p11 :rule cong :premises (@p10 @p9) :args (@t44))
% 0.36/0.56  (step @p12 :rule cong :premises (@p11) :args (@t45))
% 0.36/0.56  (step @p13 :rule nary_cong :premises (@p12 @p6) :args (@t46))
% 0.36/0.56  (step @p14 :rule cong :premises (@p13) :args ((forall @t13 @t46)))
% 0.36/0.56  (step @p15 :rule refl :args (@t40))
% 0.36/0.56  (step @p16 :rule refl :args (@t4))
% 0.36/0.56  (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t4 @t40)))
% 0.36/0.56  (step @p18 :rule symm :premises (@p17))
% 0.36/0.56  (step @p19 :rule eq_resolve :premises (@p16 @p18))
% 0.36/0.56  (step @p20 :rule refl :args ((tptp.in @t2 @t11)))
% 0.36/0.56  (step @p21 :rule refl :args ((tptp.dsetconstr @t1 @t9)))
% 0.36/0.56  (step @p22 :rule refl :args (@t41))
% 0.36/0.56  (step @p23 :rule cong :premises (@p22) :args (@t42))
% 0.36/0.56  (step @p24 :rule refl :args (@t1))
% 0.36/0.56  (step @p25 :rule cong :premises (@p24 @p23) :args (@t43))
% 0.36/0.56  (step @p26 :rule trans :premises (@p25 @p21))
% 0.36/0.56  (step @p27 :rule refl :args (@t2))
% 0.36/0.56  (step @p28 :rule cong :premises (@p27 @p26) :args (@t44))
% 0.36/0.56  (step @p29 :rule trans :premises (@p28 @p20))
% 0.36/0.56  (step @p30 :rule refl :args (@t3))
% 0.36/0.56  (step @p31 :rule ho_cong :premises (@p30 @p26))
% 0.36/0.56  (step @p32 :rule cong :premises (@p31 @p29) :args ((= (_ @t3 @t43) @t44)))
% 0.36/0.56  (step @p33 :rule symm :premises (@p32))
% 0.36/0.56  (step @p34 :rule refl :args (@t12))
% 0.36/0.56  (step @p35 :rule eq_resolve :premises (@p34 @p33))
% 0.36/0.56  (step @p36 :rule refl :args (@t10))
% 0.36/0.56  (step @p37 :rule ho_cong :premises (@p36 @p23))
% 0.36/0.56  (step @p38 :rule cong :premises (@p37 @p26) :args ((= (_ @t10 @t42) @t43)))
% 0.36/0.56  (step @p39 :rule symm :premises (@p38))
% 0.36/0.56  (step @p40 :rule refl :args (@t11))
% 0.36/0.56  (step @p41 :rule eq_resolve :premises (@p40 @p39))
% 0.36/0.56  (step @p42 :rule refl :args (@t7))
% 0.36/0.56  (step @p43 :rule cong :premises (@p42 @p22) :args ((= @t7 @t41)))
% 0.36/0.56  (step @p44 :rule symm :premises (@p43))
% 0.36/0.56  (step @p45 :rule eq_resolve :premises (@p42 @p44))
% 0.36/0.56  (step @p46 :rule cong :premises (@p45) :args (@t9))
% 0.36/0.56  (step @p47 :rule ho_cong :premises (@p36 @p46))
% 0.36/0.56  (step @p48 :rule trans :premises (@p47 @p41))
% 0.36/0.56  (step @p49 :rule ho_cong :premises (@p30 @p48))
% 0.36/0.56  (step @p50 :rule trans :premises (@p49 @p35))
% 0.36/0.56  (step @p51 :rule cong :premises (@p50) :args (@t47))
% 0.36/0.56  (step @p52 :rule nary_cong :premises (@p51 @p19) :args (@t48))
% 0.36/0.56  (step @p53 :rule cong :premises (@p52) :args ((forall @t13 @t48)))
% 0.36/0.56  (step @p54 :rule trans :premises (@p53 @p14))
% 0.36/0.56  (step @p55 :rule bool-impl-elim :args (@t12 @t4))
% 0.36/0.56  (step @p56 :rule cong :premises (@p55) :args (@t14))
% 0.36/0.56  (step @p57 :rule trans :premises (@p56 @p54))
% 0.36/0.56  (step @p58 :rule refl :args (tptp.dsetconstrEL))
% 0.36/0.56  (step @p59 :rule cong :premises (@p58 @p57) :args (@t15))
% 0.36/0.56  (step @p60 :rule eq_resolve :premises (@p1 @p59))
% 0.36/0.56  (step @p61 :rule cong :premises (@p60 @p5) :args (@t49))
% 0.36/0.56  (step @p62 :rule cong :premises (@p61) :args ((not @t49)))
% 0.36/0.56  (step @p63 :rule refl :args ((tptp.in @t18 @t17)))
% 0.36/0.56  (step @p64 :rule refl :args (@t31))
% 0.36/0.56  (step @p65 :rule refl :args (@t18))
% 0.36/0.56  (step @p66 :rule cong :premises (@p65 @p64) :args (@t32))
% 0.36/0.56  (step @p67 :rule trans :premises (@p66 @p63))
% 0.36/0.56  (step @p68 :rule refl :args (@t19))
% 0.36/0.56  (step @p69 :rule ho_cong :premises (@p68 @p64))
% 0.36/0.56  (step @p70 :rule cong :premises (@p69 @p67) :args ((= (_ @t19 @t31) @t32)))
% 0.36/0.56  (step @p71 :rule symm :premises (@p70))
% 0.36/0.56  (step @p72 :rule refl :args (@t20))
% 0.36/0.56  (step @p73 :rule eq_resolve :premises (@p72 @p71))
% 0.36/0.56  (step @p74 :rule refl :args (@t17))
% 0.36/0.56  (step @p75 :rule cong :premises (@p74 @p64) :args ((= @t17 @t31)))
% 0.36/0.56  (step @p76 :rule symm :premises (@p75))
% 0.36/0.56  (step @p77 :rule eq_resolve :premises (@p74 @p76))
% 0.36/0.56  (step @p78 :rule ho_cong :premises (@p68 @p77))
% 0.36/0.56  (step @p79 :rule trans :premises (@p78 @p73))
% 0.36/0.56  (step @p80 :rule refl :args ((tptp.in @t18 @t52)))
% 0.36/0.56  (step @p81 :rule refl :args ((tptp.dsetconstr @t17 @t51)))
% 0.36/0.56  (step @p82 :rule refl :args (@t34))
% 0.36/0.56  (step @p83 :rule cong :premises (@p82) :args (@t36))
% 0.36/0.56  (step @p84 :rule cong :premises (@p64 @p83) :args (@t37))
% 0.36/0.56  (step @p85 :rule trans :premises (@p84 @p81))
% 0.36/0.56  (step @p86 :rule cong :premises (@p65 @p85) :args (@t38))
% 0.36/0.56  (step @p87 :rule trans :premises (@p86 @p80))
% 0.36/0.56  (step @p88 :rule ho_cong :premises (@p68 @p85))
% 0.36/0.56  (step @p89 :rule cong :premises (@p88 @p87) :args ((= (_ @t19 @t37) @t38)))
% 0.36/0.56  (step @p90 :rule symm :premises (@p89))
% 0.36/0.56  (step @p91 :rule refl :args (@t53))
% 0.36/0.56  (step @p92 :rule eq_resolve :premises (@p91 @p90))
% 0.36/0.56  (step @p93 :rule refl :args (tptp.dsetconstr))
% 0.36/0.56  (step @p94 :rule ho_cong :premises (@p93 @p64))
% 0.36/0.56  (step @p95 :rule ho_cong :premises (@p94 @p83))
% 0.36/0.56  (step @p96 :rule cong :premises (@p95 @p85) :args ((= (_ (_ tptp.dsetconstr @t31) @t36) @t37)))
% 0.36/0.56  (step @p97 :rule symm :premises (@p96))
% 0.36/0.56  (step @p98 :rule refl :args (@t52))
% 0.36/0.56  (step @p99 :rule eq_resolve :premises (@p98 @p97))
% 0.36/0.56  (step @p100 :rule refl :args (@t50))
% 0.36/0.56  (step @p101 :rule cong :premises (@p100 @p82) :args ((= @t50 @t34)))
% 0.36/0.56  (step @p102 :rule symm :premises (@p101))
% 0.36/0.56  (step @p103 :rule eq_resolve :premises (@p100 @p102))
% 0.36/0.56  (step @p104 :rule cong :premises (@p103) :args (@t51))
% 0.36/0.56  (step @p105 :rule ho_cong :premises (@p93 @p77))
% 0.36/0.56  (step @p106 :rule ho_cong :premises (@p105 @p104))
% 0.36/0.56  (step @p107 :rule trans :premises (@p106 @p99))
% 0.36/0.56  (step @p108 :rule ho_cong :premises (@p68 @p107))
% 0.36/0.56  (step @p109 :rule trans :premises (@p108 @p92))
% 0.36/0.56  (step @p110 :rule cong :premises (@p109) :args (@t54))
% 0.36/0.56  (step @p111 :rule nary_cong :premises (@p110 @p79) :args (@t55))
% 0.36/0.56  (step @p112 :rule cong :premises (@p111) :args ((forall @t22 @t55)))
% 0.36/0.56  (step @p113 :rule bool-impl-elim :args (@t53 @t20))
% 0.36/0.56  (step @p114 :rule cong :premises (@p113) :args ((forall @t22 (=> @t53 @t20))))
% 0.36/0.56  (step @p115 :rule trans :premises (@p114 @p112))
% 0.36/0.56  (step @p116 :rule alpha_equiv :args (@t27 (@list @t18) (@list @t33)))
% 0.36/0.56  (step @p117 :rule refl :args (@t28))
% 0.36/0.56  (step @p118 :rule ho_cong :premises (@p117 @p116))
% 0.36/0.56  (step @p119 :rule ho_cong :premises (@p68 @p118))
% 0.36/0.56  (step @p120 :rule cong :premises (@p119 @p72) :args (@t56))
% 0.36/0.56  (step @p121 :rule cong :premises (@p120) :args ((forall @t22 @t56)))
% 0.36/0.56  (step @p122 :rule trans :premises (@p121 @p115))
% 0.36/0.56  (step @p123 :rule refl :args (@t20))
% 0.36/0.56  (step @p124 :rule beta-reduce :args ((= (_ @t57 @t16) @t29)))
% 0.36/0.56  (step @p125 :rule refl :args (@t16))
% 0.36/0.56  (step @p126 :rule beta-reduce :args ((= @t58 @t57)))
% 0.36/0.56  (step @p127 :rule ho_cong :premises (@p126 @p125))
% 0.36/0.56  (step @p128 :rule trans :premises (@p127 @p124))
% 0.36/0.56  (step @p129 :rule refl :args (@t19))
% 0.36/0.56  (step @p130 :rule ho_cong :premises (@p129 @p128))
% 0.36/0.56  (step @p131 :rule cong :premises (@p130 @p123) :args (@t59))
% 0.36/0.56  (step @p132 :rule cong :premises (@p131) :args (@t60))
% 0.36/0.56  (step @p133 :rule trans :premises (@p132 @p122))
% 0.36/0.56  (step @p134 :rule cong :premises (@p58 @p133) :args (@t61))
% 0.36/0.56  (step @p135 :rule cong :premises (@p134) :args ((not @t61)))
% 0.36/0.56  (step @p136 :rule ho_cong :premises (@p4 @p8))
% 0.36/0.56  (step @p137 :rule ho_cong :premises (@p136 @p125))
% 0.36/0.56  (step @p138 :rule ho_cong :premises (@p129 @p137))
% 0.36/0.56  (step @p139 :rule cong :premises (@p138 @p123) :args (@t21))
% 0.36/0.56  (step @p140 :rule cong :premises (@p139) :args (@t23))
% 0.36/0.56  (step @p141 :rule cong :premises (@p58 @p140) :args (@t24))
% 0.36/0.56  (step @p142 :rule cong :premises (@p141) :args (@t25))
% 0.36/0.56  (step @p143 :rule trans :premises (@p142 @p135))
% 0.36/0.56  (step @p144 :rule trans :premises (@p143 @p62))
% 0.36/0.56  (step @p145 :rule eq_resolve :premises (@p2 @p144))
% 0.36/0.56  (step @p146 :rule not_implies_elim1 :premises (@p145))
% 0.36/0.56  (step @p147 :rule not_implies_elim2 :premises (@p145))
% 0.36/0.56  (step @p148 :rule refl :args (@t69))
% 0.36/0.56  (step @p149 :rule bool-double-not-elim :args (@t39))
% 0.36/0.56  (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or (not @t70) @t69)))
% 0.36/0.56  (step @p151 :rule refl :args (@t66))
% 0.36/0.56  (step @p152 :rule lambda-elim :args ((= @t71 @t67)))
% 0.36/0.56  (step @p153 :rule refl :args (@t64))
% 0.36/0.56  (step @p154 :rule cong :premises (@p153 @p152) :args (@t72))
% 0.36/0.56  (step @p155 :rule refl :args (@t65))
% 0.36/0.56  (step @p156 :rule cong :premises (@p155 @p154) :args (@t73))
% 0.36/0.56  (step @p157 :rule cong :premises (@p156) :args (@t74))
% 0.36/0.56  (step @p158 :rule nary_cong :premises (@p157 @p151) :args (@t75))
% 0.36/0.56  (step @p159 :rule cong :premises (@p158) :args (@t76))
% 0.36/0.56  (step @p160 :rule refl :args (@t70))
% 0.36/0.56  (step @p161 :rule cong :premises (@p160 @p159) :args ((=> @t70 @t76)))
% 0.36/0.56  (assume-push @p176 @t70)
% 0.36/0.56  (step @p163 :rule skolemize :premises (@p147))
% 0.36/0.56  (step-pop @p177 :rule scope :premises (@p163))
% 0.36/0.56  (step @p164 :rule process_scope :premises (@p177) :args (@t76))
% 0.36/0.56  (step @p166 :rule eq_resolve :premises (@p164 @p161))
% 0.36/0.56  (step @p167 :rule implies_elim :premises (@p166))
% 0.36/0.56  (step @p168 :rule eq_resolve :premises (@p167 @p150))
% 0.36/0.56  (step @p169 :rule chain_m_resolution :premises (@p168 @p147) :args (@t69 (@list true) (@list @t39)))
% 0.36/0.56  (assume-push @p178 @t77)
% 0.36/0.56  (step @p171 :rule instantiate :premises (@p146) :args ((@list @t64 @t67 @t65)))
% 0.36/0.56  (step-pop @p179 :rule scope :premises (@p171))
% 0.36/0.56  (step @p172 :rule process_scope :premises (@p179) :args (@t68))
% 0.36/0.56  (step @p174 :rule implies_elim :premises (@p172))
% 0.36/0.56  (step @p175 false :rule chain_m_resolution :premises (@p174 @p169 @p146) :args (false (@list true false) (@list @t68 @t77)))
% 0.36/0.56  )
% 0.36/0.56  % SZS output end Proof
% 0.36/0.56  % cvc5 exiting
%------------------------------------------------------------------------------