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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU526^2 : 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 : n011.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 08:52:04 AM UTC 2026

% Result   : Theorem 0.38s 0.58s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU526^2 : TPTP v9.2.1. Released v3.7.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n011.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 17:40:20 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.48  %----Proving TH0
% 0.38/0.58  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.38/0.58  % SZS status Theorem
% 0.38/0.58  % SZS output start Proof
% 0.38/0.58  (
% 0.38/0.58  (declare-sort $$unsorted 0)
% 0.38/0.58  (declare-const tptp.emptyset $$unsorted)
% 0.38/0.58  (declare-const tptp.setext Bool)
% 0.38/0.58  (declare-const tptp.emptysetE Bool)
% 0.38/0.58  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.38/0.58  (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset)))))
% 0.38/0.58  (define @t1 () (@var "Xphi" Bool))
% 0.38/0.58  (define @t2 () (@list @t1))
% 0.38/0.58  (define @t3 () (forall @t2 @t1))
% 0.38/0.58  (define @t4 () (@var "Xx" $$unsorted))
% 0.38/0.58  (define @t5 () (_ tptp.in @t4))
% 0.38/0.58  (define @t6 () (_ @t5 tptp.emptyset))
% 0.38/0.58  (define @t7 () (=> @t6 @t3))
% 0.38/0.58  (define @t8 () (@list @t4))
% 0.38/0.58  (define @t9 () (forall @t8 @t7))
% 0.38/0.58  (define @t10 () (= tptp.emptysetE @t9))
% 0.38/0.58  (define @t11 () (@var "B" $$unsorted))
% 0.38/0.58  (define @t12 () (@var "A" $$unsorted))
% 0.38/0.58  (define @t13 () (= @t12 @t11))
% 0.38/0.58  (define @t14 () (_ @t5 @t12))
% 0.38/0.58  (define @t15 () (_ @t5 @t11))
% 0.38/0.58  (define @t16 () (forall @t8 (=> @t15 @t14)))
% 0.38/0.58  (define @t17 () (=> @t16 @t13))
% 0.38/0.58  (define @t18 () (forall @t8 (=> @t14 @t15)))
% 0.38/0.58  (define @t19 () (=> @t18 @t17))
% 0.38/0.58  (define @t20 () (@list @t12 @t11))
% 0.38/0.58  (define @t21 () (forall @t20 @t19))
% 0.38/0.58  (define @t22 () (= tptp.setext @t21))
% 0.38/0.58  (define @t23 () (and @t14 true))
% 0.38/0.58  (define @t24 () (exists @t8 @t23))
% 0.38/0.58  (define @t25 () (=> (_ tptp.nonempty @t12) @t24))
% 0.38/0.58  (define @t26 () (@list @t12))
% 0.38/0.58  (define @t27 () (forall @t26 @t25))
% 0.38/0.58  (define @t28 () (=> tptp.setext @t27))
% 0.38/0.58  (define @t29 () (=> tptp.emptysetE @t28))
% 0.38/0.58  (define @t30 () (not @t29))
% 0.38/0.58  (define @t31 () (not (= @t4 tptp.emptyset)))
% 0.38/0.58  (define @t32 () (lambda @t8 @t31))
% 0.38/0.58  (define @t33 () (tptp.in @t4 @t12))
% 0.38/0.58  (define @t34 () (not @t33))
% 0.38/0.58  (define @t35 () (not (forall @t8 @t34)))
% 0.38/0.58  (define @t36 () (= tptp.emptyset @t12))
% 0.38/0.58  (define @t37 () (forall @t26 (or @t36 @t35)))
% 0.38/0.58  (define @t38 () (tptp.in @t4 @t11))
% 0.38/0.58  (define @t39 () (forall @t8 (or (not @t38) @t33)))
% 0.38/0.58  (define @t40 () (not @t39))
% 0.38/0.58  (define @t41 () (forall @t8 (or @t34 @t38)))
% 0.38/0.58  (define @t42 () (not @t41))
% 0.38/0.58  (define @t43 () (or @t42 @t40 @t13))
% 0.38/0.58  (define @t44 () (=> @t39 @t13))
% 0.38/0.58  (define @t45 () (not @t15))
% 0.38/0.58  (define @t46 () (or @t45 @t14))
% 0.38/0.58  (define @t47 () (not @t14))
% 0.38/0.58  (define @t48 () (or @t47 @t15))
% 0.38/0.58  (define @t49 () (=> tptp.setext @t37))
% 0.38/0.58  (define @t50 () (tptp.in @t4 tptp.emptyset))
% 0.38/0.58  (define @t51 () (not @t6))
% 0.38/0.58  (define @t52 () (or @t1 @t1))
% 0.38/0.58  (define @t53 () (=> tptp.emptysetE @t49))
% 0.38/0.58  (define @t54 () (not @t36))
% 0.38/0.58  (define @t55 () (forall @t8 @t47))
% 0.38/0.58  (define @t56 () (not @t55))
% 0.38/0.58  (define @t57 () (_ (lambda @t8 (not (= tptp.emptyset @t4))) @t12))
% 0.38/0.58  (define @t58 () (=> @t57 @t24))
% 0.38/0.58  (define @t59 () (forall @t26 @t58))
% 0.38/0.58  (define @t60 () (=> tptp.setext @t59))
% 0.38/0.58  (define @t61 () (=> tptp.emptysetE @t60))
% 0.38/0.58  (define @t62 () (@quantifiers_skolemize @t37 0))
% 0.38/0.58  (define @t63 () (tptp.in @t4 @t62))
% 0.38/0.58  (define @t64 () (not @t50))
% 0.38/0.58  (define @t65 () (forall @t8 (or @t64 @t63)))
% 0.38/0.58  (define @t66 () (not @t65))
% 0.38/0.58  (define @t67 () (not @t63))
% 0.38/0.58  (define @t68 () (forall @t8 (or @t67 @t50)))
% 0.38/0.58  (define @t69 () (not @t68))
% 0.38/0.58  (define @t70 () (or @t69 @t66 (= @t62 tptp.emptyset)))
% 0.38/0.58  (define @t71 () (forall @t20 @t43))
% 0.38/0.58  (define @t72 () (= tptp.emptyset @t62))
% 0.38/0.58  (define @t73 () (or @t69 @t66 @t72))
% 0.38/0.58  (define @t74 () (@list false))
% 0.38/0.58  (define @t75 () (forall @t8 @t67))
% 0.38/0.58  (define @t76 () (not @t75))
% 0.38/0.58  (define @t77 () (or @t72 @t76))
% 0.38/0.58  (define @t78 () (@list true))
% 0.38/0.58  (define @t79 () (@list @t77))
% 0.38/0.58  (define @t80 () (@quantifiers_skolemize @t68 0))
% 0.38/0.58  (define @t81 () (tptp.in @t80 @t62))
% 0.38/0.58  (define @t82 () (not @t81))
% 0.38/0.58  (define @t83 () (or @t82 (tptp.in @t80 tptp.emptyset)))
% 0.38/0.58  (define @t84 () (not @t83))
% 0.38/0.58  (define @t85 () (@quantifiers_skolemize @t65 0))
% 0.38/0.58  (define @t86 () (tptp.in @t85 tptp.emptyset))
% 0.38/0.58  (define @t87 () (not @t86))
% 0.38/0.58  (define @t88 () (or @t87 (tptp.in @t85 @t62)))
% 0.38/0.58  (define @t89 () (not @t88))
% 0.38/0.58  (define @t90 () (forall @t8 @t64))
% 0.38/0.58  (assume @p1 @t10)
% 0.38/0.58  (assume @p2 @t22)
% 0.38/0.58  (assume @p3 @t30)
% 0.38/0.58  (assume @p4 true)
% 0.38/0.58  (step @p5 (= tptp.nonempty @t32) :rule refl :args (@t32))
% 0.38/0.58  (step @p6 :rule refl :args (@t37))
% 0.38/0.58  (step @p7 :rule aci_norm :args ((= (or @t42 (or @t40 @t13)) @t43)))
% 0.38/0.58  (step @p8 :rule bool-impl-elim :args (@t39 @t13))
% 0.38/0.58  (step @p9 :rule refl :args (@t42))
% 0.38/0.58  (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((or @t42 @t44)))
% 0.38/0.58  (step @p11 :rule trans :premises (@p10 @p7))
% 0.38/0.58  (step @p12 :rule bool-impl-elim :args (@t41 @t44))
% 0.38/0.58  (step @p13 :rule trans :premises (@p12 @p11))
% 0.38/0.58  (step @p14 :rule cong :premises (@p13) :args ((forall @t20 (=> @t41 @t44))))
% 0.38/0.58  (step @p15 :rule refl :args (@t13))
% 0.38/0.58  (step @p16 :rule refl :args (@t33))
% 0.38/0.58  (step @p17 :rule refl :args (@t14))
% 0.38/0.58  (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t14 @t33)))
% 0.38/0.58  (step @p19 :rule symm :premises (@p18))
% 0.38/0.58  (step @p20 :rule eq_resolve :premises (@p17 @p19))
% 0.38/0.58  (step @p21 :rule refl :args (@t38))
% 0.38/0.58  (step @p22 :rule refl :args (@t15))
% 0.38/0.58  (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t15 @t38)))
% 0.38/0.58  (step @p24 :rule symm :premises (@p23))
% 0.38/0.58  (step @p25 :rule eq_resolve :premises (@p22 @p24))
% 0.38/0.58  (step @p26 :rule cong :premises (@p25) :args (@t45))
% 0.38/0.58  (step @p27 :rule nary_cong :premises (@p26 @p20) :args (@t46))
% 0.38/0.58  (step @p28 :rule cong :premises (@p27) :args ((forall @t8 @t46)))
% 0.38/0.58  (step @p29 :rule bool-impl-elim :args (@t15 @t14))
% 0.38/0.58  (step @p30 :rule cong :premises (@p29) :args (@t16))
% 0.38/0.58  (step @p31 :rule trans :premises (@p30 @p28))
% 0.38/0.58  (step @p32 :rule cong :premises (@p31 @p15) :args (@t17))
% 0.38/0.58  (step @p33 :rule cong :premises (@p20) :args (@t47))
% 0.38/0.58  (step @p34 :rule nary_cong :premises (@p33 @p25) :args (@t48))
% 0.38/0.58  (step @p35 :rule cong :premises (@p34) :args ((forall @t8 @t48)))
% 0.38/0.58  (step @p36 :rule bool-impl-elim :args (@t14 @t15))
% 0.38/0.58  (step @p37 :rule cong :premises (@p36) :args (@t18))
% 0.38/0.58  (step @p38 :rule trans :premises (@p37 @p35))
% 0.38/0.58  (step @p39 :rule cong :premises (@p38 @p32) :args (@t19))
% 0.38/0.58  (step @p40 :rule cong :premises (@p39) :args (@t21))
% 0.38/0.58  (step @p41 :rule trans :premises (@p40 @p14))
% 0.38/0.58  (step @p42 :rule refl :args (tptp.setext))
% 0.38/0.58  (step @p43 :rule cong :premises (@p42 @p41) :args (@t22))
% 0.38/0.58  (step @p44 :rule eq_resolve :premises (@p2 @p43))
% 0.38/0.58  (step @p45 :rule cong :premises (@p44 @p6) :args (@t49))
% 0.38/0.58  (step @p46 :rule refl :args (@t50))
% 0.38/0.58  (step @p47 :rule refl :args (@t6))
% 0.38/0.58  (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t6 @t50)))
% 0.38/0.58  (step @p49 :rule symm :premises (@p48))
% 0.38/0.58  (step @p50 :rule eq_resolve :premises (@p47 @p49))
% 0.38/0.58  (step @p51 :rule cong :premises (@p50) :args (@t51))
% 0.38/0.58  (step @p52 :rule cong :premises (@p51) :args ((forall @t8 @t51)))
% 0.38/0.58  (step @p53 :rule bool-impl-false1 :args (@t6))
% 0.38/0.58  (step @p54 :rule quant-var-elim-eq :args ((= (forall @t2 (or (not (= @t1 false)) @t1)) false)))
% 0.38/0.58  (step @p55 :rule refl :args (@t1))
% 0.38/0.58  (step @p56 :rule bool-eq-false :args (@t1))
% 0.38/0.58  (step @p57 :rule symm :premises (@p56))
% 0.38/0.58  (step @p58 :rule cong :premises (@p57) :args ((not (not @t1))))
% 0.38/0.58  (step @p59 :rule bool-double-not-elim :args (@t1))
% 0.38/0.58  (step @p60 :rule symm :premises (@p59))
% 0.38/0.58  (step @p61 :rule trans :premises (@p60 @p58))
% 0.38/0.58  (step @p62 :rule nary_cong :premises (@p61 @p55) :args (@t52))
% 0.38/0.58  (step @p63 :rule aci_norm :args ((= @t1 @t52)))
% 0.38/0.58  (step @p64 :rule trans :premises (@p63 @p62))
% 0.38/0.58  (step @p65 :rule cong :premises (@p64) :args (@t3))
% 0.38/0.58  (step @p66 :rule trans :premises (@p65 @p54))
% 0.38/0.58  (step @p67 :rule refl :args (@t6))
% 0.38/0.58  (step @p68 :rule cong :premises (@p67 @p66) :args (@t7))
% 0.38/0.58  (step @p69 :rule trans :premises (@p68 @p53))
% 0.38/0.58  (step @p70 :rule cong :premises (@p69) :args (@t9))
% 0.38/0.58  (step @p71 :rule trans :premises (@p70 @p52))
% 0.38/0.58  (step @p72 :rule refl :args (tptp.emptysetE))
% 0.38/0.58  (step @p73 :rule cong :premises (@p72 @p71) :args (@t10))
% 0.38/0.58  (step @p74 :rule eq_resolve :premises (@p1 @p73))
% 0.38/0.58  (step @p75 :rule cong :premises (@p74 @p45) :args (@t53))
% 0.38/0.58  (step @p76 :rule cong :premises (@p75) :args ((not @t53)))
% 0.38/0.58  (step @p77 :rule refl :args (@t35))
% 0.38/0.58  (step @p78 :rule bool-double-not-elim :args (@t36))
% 0.38/0.58  (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or (not @t54) @t35)))
% 0.38/0.58  (step @p80 :rule bool-impl-elim :args (@t54 @t35))
% 0.38/0.58  (step @p81 :rule trans :premises (@p80 @p79))
% 0.38/0.58  (step @p82 :rule cong :premises (@p81) :args ((forall @t26 (=> @t54 @t35))))
% 0.38/0.58  (step @p83 :rule cong :premises (@p33) :args (@t55))
% 0.38/0.58  (step @p84 :rule cong :premises (@p83) :args (@t56))
% 0.38/0.58  (step @p85 :rule exists-elim :args ((= (exists @t8 @t14) @t56)))
% 0.38/0.58  (step @p86 :rule trans :premises (@p85 @p84))
% 0.38/0.58  (step @p87 :rule aci_norm :args ((= @t23 @t14)))
% 0.38/0.58  (step @p88 :rule cong :premises (@p87) :args (@t24))
% 0.38/0.58  (step @p89 :rule trans :premises (@p88 @p86))
% 0.38/0.58  (step @p90 :rule beta-reduce :args ((= @t57 @t54)))
% 0.38/0.58  (step @p91 :rule cong :premises (@p90 @p89) :args (@t58))
% 0.38/0.58  (step @p92 :rule cong :premises (@p91) :args (@t59))
% 0.38/0.58  (step @p93 :rule trans :premises (@p92 @p82))
% 0.38/0.58  (step @p94 :rule cong :premises (@p42 @p93) :args (@t60))
% 0.38/0.58  (step @p95 :rule cong :premises (@p72 @p94) :args (@t61))
% 0.38/0.58  (step @p96 :rule cong :premises (@p95) :args ((not @t61)))
% 0.38/0.58  (step @p97 :rule refl :args (@t24))
% 0.38/0.58  (step @p98 :rule refl :args (@t12))
% 0.38/0.58  (step @p99 :rule eq-symm :args (@t4 tptp.emptyset))
% 0.38/0.58  (step @p100 :rule cong :premises (@p99) :args (@t31))
% 0.38/0.58  (step @p101 :rule cong :premises (@p100) :args (@t32))
% 0.38/0.58  (step @p102 :rule trans :premises (@p5 @p101))
% 0.38/0.58  (step @p103 :rule ho_cong :premises (@p102 @p98))
% 0.38/0.58  (step @p104 :rule cong :premises (@p103 @p97) :args (@t25))
% 0.38/0.58  (step @p105 :rule cong :premises (@p104) :args (@t27))
% 0.38/0.58  (step @p106 :rule cong :premises (@p42 @p105) :args (@t28))
% 0.38/0.58  (step @p107 :rule cong :premises (@p72 @p106) :args (@t29))
% 0.38/0.58  (step @p108 :rule cong :premises (@p107) :args (@t30))
% 0.38/0.58  (step @p109 :rule trans :premises (@p108 @p96))
% 0.38/0.58  (step @p110 :rule trans :premises (@p109 @p76))
% 0.38/0.58  (step @p111 :rule eq_resolve :premises (@p3 @p110))
% 0.38/0.58  (step @p112 :rule not_implies_elim1 :premises (@p111))
% 0.38/0.58  (step @p113 :rule not_implies_elim2 :premises (@p111))
% 0.38/0.58  (step @p114 :rule not_implies_elim1 :premises (@p113))
% 0.38/0.58  (step @p115 :rule eq-symm :args (@t62 tptp.emptyset))
% 0.38/0.58  (step @p116 :rule refl :args (@t66))
% 0.38/0.58  (step @p117 :rule refl :args (@t69))
% 0.38/0.58  (step @p118 :rule nary_cong :premises (@p117 @p116 @p115) :args (@t70))
% 0.38/0.58  (step @p119 :rule refl :args (@t71))
% 0.38/0.58  (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t71 @t70)))
% 0.38/0.58  (assume-push @p183 @t71)
% 0.38/0.58  (step @p122 :rule instantiate :premises (@p114) :args ((@list @t62 tptp.emptyset)))
% 0.38/0.58  (step-pop @p184 :rule scope :premises (@p122))
% 0.38/0.58  (step @p123 :rule process_scope :premises (@p184) :args (@t70))
% 0.38/0.58  (step @p125 :rule eq_resolve :premises (@p123 @p120))
% 0.38/0.58  (step @p126 :rule implies_elim :premises (@p125))
% 0.38/0.58  (step @p127 :rule chain_m_resolution :premises (@p126 @p114) :args (@t73 @t74 (@list @t71)))
% 0.38/0.58  (step @p128 :rule not_implies_elim2 :premises (@p113))
% 0.38/0.58  (step @p129 :rule skolemize :premises (@p128))
% 0.38/0.58  (step @p130 :rule bool-double-not-elim :args (@t75))
% 0.38/0.58  (step @p131 :rule refl :args (@t77))
% 0.38/0.58  (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t77 (not @t76))))
% 0.38/0.58  (step @p133 :rule cnf_or_neg :args (@t77 1))
% 0.38/0.58  (step @p134 :rule eq_resolve :premises (@p133 @p132))
% 0.38/0.58  (step @p135 :rule reordering :premises (@p134) :args ((or @t75 @t77)))
% 0.38/0.58  (step @p136 :rule chain_m_resolution :premises (@p135 @p129) :args (@t75 @t78 @t79))
% 0.38/0.58  (step @p137 :rule instantiate :premises (@p136) :args ((@list @t80)))
% 0.38/0.58  (step @p138 :rule bool-double-not-elim :args (@t81))
% 0.38/0.58  (step @p139 :rule refl :args (@t83))
% 0.38/0.58  (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t83 (not @t82))))
% 0.38/0.58  (step @p141 :rule cnf_or_neg :args (@t83 0))
% 0.38/0.58  (step @p142 :rule eq_resolve :premises (@p141 @p140))
% 0.38/0.58  (step @p143 :rule reordering :premises (@p142) :args ((or @t81 @t83)))
% 0.38/0.58  (step @p144 :rule chain_m_resolution :premises (@p143 @p137) :args (@t83 @t78 (@list @t81)))
% 0.38/0.58  (step @p145 :rule refl :args (@t84))
% 0.38/0.58  (step @p146 :rule bool-double-not-elim :args (@t68))
% 0.38/0.58  (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t69) @t84)))
% 0.38/0.58  (assume-push @p185 @t69)
% 0.38/0.58  (step @p149 :rule skolemize :premises (@p185))
% 0.38/0.58  (step-pop @p186 :rule scope :premises (@p149))
% 0.38/0.58  (step @p150 :rule process_scope :premises (@p186) :args (@t84))
% 0.38/0.58  (step @p152 :rule implies_elim :premises (@p150))
% 0.38/0.58  (step @p153 :rule eq_resolve :premises (@p152 @p147))
% 0.38/0.58  (step @p154 :rule chain_m_resolution :premises (@p153 @p144) :args (@t68 @t74 (@list @t83)))
% 0.38/0.58  (step @p155 :rule cnf_or_neg :args (@t77 0))
% 0.38/0.58  (step @p156 :rule chain_m_resolution :premises (@p155 @p129) :args ((not @t72) @t78 @t79))
% 0.38/0.58  (step @p157 :rule cnf_or_pos :args (@t73))
% 0.38/0.58  (step @p158 :rule reordering :premises (@p157) :args ((or @t72 @t69 @t66 (not @t73))))
% 0.38/0.58  (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p154 @p127) :args (@t66 (@list true false false) (@list @t72 @t68 @t73)))
% 0.38/0.58  (step @p160 :rule refl :args (@t89))
% 0.38/0.59  (step @p161 :rule bool-double-not-elim :args (@t65))
% 0.38/0.59  (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or (not @t66) @t89)))
% 0.38/0.59  (assume-push @p187 @t66)
% 0.38/0.59  (step @p164 :rule skolemize :premises (@p187))
% 0.38/0.59  (step-pop @p188 :rule scope :premises (@p164))
% 0.38/0.59  (step @p165 :rule process_scope :premises (@p188) :args (@t89))
% 0.38/0.59  (step @p167 :rule implies_elim :premises (@p165))
% 0.38/0.59  (step @p168 :rule eq_resolve :premises (@p167 @p162))
% 0.38/0.59  (step @p169 :rule chain_m_resolution :premises (@p168 @p159) :args (@t89 @t78 (@list @t65)))
% 0.38/0.59  (step @p170 :rule bool-double-not-elim :args (@t86))
% 0.38/0.59  (step @p171 :rule refl :args (@t88))
% 0.38/0.59  (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t88 (not @t87))))
% 0.38/0.59  (step @p173 :rule cnf_or_neg :args (@t88 0))
% 0.38/0.59  (step @p174 :rule eq_resolve :premises (@p173 @p172))
% 0.38/0.59  (step @p175 :rule reordering :premises (@p174) :args ((or @t86 @t88)))
% 0.38/0.59  (step @p176 :rule chain_m_resolution :premises (@p175 @p169) :args (@t86 @t78 (@list @t88)))
% 0.38/0.59  (assume-push @p189 @t90)
% 0.38/0.59  (step @p178 :rule instantiate :premises (@p112) :args ((@list @t85)))
% 0.38/0.59  (step-pop @p190 :rule scope :premises (@p178))
% 0.38/0.59  (step @p179 :rule process_scope :premises (@p190) :args (@t87))
% 0.38/0.59  (step @p181 :rule implies_elim :premises (@p179))
% 0.38/0.59  (step @p182 false :rule chain_m_resolution :premises (@p181 @p176 @p112) :args (false (@list false false) (@list @t86 @t90)))
% 0.38/0.59  )
% 0.38/0.59  % SZS output end Proof
% 0.38/0.59  % cvc5 exiting
%------------------------------------------------------------------------------