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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU146+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 08:50:42 AM UTC 2026

% Result   : Theorem 0.38s 0.57s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU146+1 : TPTP v9.2.1. Released v3.3.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.34  % Computer : n016.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 16:32:39 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.38/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.38/0.57  % SZS status Theorem
% 0.38/0.57  % SZS output start Proof
% 0.38/0.57  (
% 0.38/0.57  (declare-sort $$unsorted 0)
% 0.38/0.57  (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted))
% 0.38/0.57  (declare-const tptp.singleton (-> $$unsorted $$unsorted))
% 0.38/0.57  (declare-const tptp.empty_set $$unsorted)
% 0.38/0.57  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 0.38/0.57  (declare-const tptp.empty (-> $$unsorted Bool))
% 0.38/0.57  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.38/0.57  (define @t1 () (@var "A" $$unsorted))
% 0.38/0.57  (define @t2 () (@var "B" $$unsorted))
% 0.38/0.57  (define @t3 () (tptp.in @t1 @t2))
% 0.38/0.57  (define @t4 () (@list @t1 @t2))
% 0.38/0.57  (define @t5 () (tptp.subset @t1 @t2))
% 0.38/0.57  (define @t6 () (tptp.subset (tptp.singleton @t1) @t2))
% 0.38/0.57  (define @t7 () (forall @t4 (= @t6 @t3)))
% 0.38/0.57  (define @t8 () (@var "C" $$unsorted))
% 0.38/0.57  (define @t9 () (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t8))))
% 0.38/0.57  (define @t10 () (tptp.in @t8 @t1))
% 0.38/0.57  (define @t11 () (or @t10 @t9))
% 0.38/0.57  (define @t12 () (forall (@list @t1 @t2 @t8) (=> @t5 @t11)))
% 0.38/0.57  (define @t13 () (tptp.singleton @t2))
% 0.38/0.57  (define @t14 () (= @t1 tptp.empty_set))
% 0.38/0.57  (define @t15 () (forall @t4 (= (tptp.subset @t1 @t13) (or @t14 (= @t1 @t13)))))
% 0.38/0.57  (define @t16 () (not @t15))
% 0.38/0.57  (define @t17 () (tptp.empty @t1))
% 0.38/0.57  (define @t18 () (@list @t1))
% 0.38/0.57  (define @t19 () (tptp.subset @t1 @t1))
% 0.38/0.57  (define @t20 () (forall @t4 @t19))
% 0.38/0.57  (define @t21 () (tptp.set_difference @t1 @t2))
% 0.38/0.57  (define @t22 () (= @t21 tptp.empty_set))
% 0.38/0.57  (define @t23 () (forall @t4 (= @t22 @t5)))
% 0.38/0.57  (define @t24 () (tptp.subset @t1 tptp.empty_set))
% 0.38/0.57  (define @t25 () (forall @t18 (=> @t24 @t14)))
% 0.38/0.57  (define @t26 () (not @t5))
% 0.38/0.57  (define @t27 () (@quantifiers_skolemize @t15 1))
% 0.38/0.57  (define @t28 () (tptp.singleton @t27))
% 0.38/0.57  (define @t29 () (@quantifiers_skolemize @t15 0))
% 0.38/0.57  (define @t30 () (tptp.in @t27 @t29))
% 0.38/0.57  (define @t31 () (tptp.subset @t28 @t29))
% 0.38/0.57  (define @t32 () (forall @t4 (= @t3 @t6)))
% 0.38/0.57  (define @t33 () (= @t30 @t31))
% 0.38/0.57  (define @t34 () (= @t31 @t30))
% 0.38/0.57  (define @t35 () (= @t29 @t28))
% 0.38/0.57  (define @t36 () (= tptp.empty_set @t29))
% 0.38/0.57  (define @t37 () (or @t36 @t35))
% 0.38/0.57  (define @t38 () (tptp.subset @t29 @t28))
% 0.38/0.57  (define @t39 () (= @t38 @t37))
% 0.38/0.57  (define @t40 () (not @t39))
% 0.38/0.57  (define @t41 () (= @t29 tptp.empty_set))
% 0.38/0.57  (define @t42 () (or @t41 @t35))
% 0.38/0.57  (define @t43 () (= @t38 @t42))
% 0.38/0.57  (define @t44 () (not @t43))
% 0.38/0.57  (define @t45 () (@list true))
% 0.38/0.57  (define @t46 () (@list @t28))
% 0.38/0.57  (define @t47 () (tptp.subset tptp.empty_set @t28))
% 0.38/0.57  (define @t48 () (not @t47))
% 0.38/0.57  (define @t49 () (not @t36))
% 0.38/0.57  (define @t50 () (not @t38))
% 0.38/0.57  (define @t51 () (and @t50 @t36 @t47))
% 0.38/0.57  (define @t52 () (and @t38 @t31))
% 0.38/0.57  (define @t53 () (not @t52))
% 0.38/0.57  (define @t54 () (not @t37))
% 0.38/0.57  (define @t55 () (= @t35 @t52))
% 0.38/0.57  (define @t56 () (not @t55))
% 0.38/0.57  (define @t57 () (not @t35))
% 0.38/0.57  (define @t58 () (@list true false))
% 0.38/0.57  (define @t59 () (@list @t37))
% 0.38/0.57  (define @t60 () (not @t31))
% 0.38/0.57  (define @t61 () (not @t30))
% 0.38/0.57  (define @t62 () (tptp.set_difference @t28 @t28))
% 0.38/0.57  (define @t63 () (tptp.subset @t29 @t62))
% 0.38/0.57  (define @t64 () (or @t50 @t30 @t63))
% 0.38/0.57  (define @t65 () (= tptp.empty_set @t62))
% 0.38/0.57  (define @t66 () (tptp.subset @t28 @t28))
% 0.38/0.57  (define @t67 () (= @t66 @t65))
% 0.38/0.57  (define @t68 () (@list false false))
% 0.38/0.57  (define @t69 () (tptp.set_difference tptp.empty_set @t28))
% 0.38/0.57  (define @t70 () (= tptp.empty_set @t69))
% 0.38/0.57  (define @t71 () (= @t47 @t70))
% 0.38/0.57  (define @t72 () (tptp.subset @t29 tptp.empty_set))
% 0.38/0.57  (define @t73 () (and @t70 @t65 @t63))
% 0.38/0.57  (define @t74 () (not @t72))
% 0.38/0.57  (define @t75 () (or @t74 @t36))
% 0.38/0.57  (define @t76 () (not @t75))
% 0.38/0.57  (define @t77 () (or @t74 @t41))
% 0.38/0.57  (define @t78 () (forall @t18 (or (not @t24) @t14)))
% 0.38/0.57  (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1)))))
% 0.38/0.57  (assume @p2 (forall @t4 (= (= @t1 @t2) (and @t5 (tptp.subset @t2 @t1)))))
% 0.38/0.57  (assume @p3 true)
% 0.38/0.57  (assume @p4 (tptp.empty tptp.empty_set))
% 0.38/0.57  (assume @p5 @t7)
% 0.38/0.57  (assume @p6 @t12)
% 0.38/0.57  (assume @p7 @t16)
% 0.38/0.57  (assume @p8 (exists @t18 @t17))
% 0.38/0.57  (assume @p9 (exists @t18 (not @t17)))
% 0.38/0.57  (assume @p10 @t20)
% 0.38/0.57  (assume @p11 (forall @t18 (tptp.subset tptp.empty_set @t1)))
% 0.38/0.57  (assume @p12 @t23)
% 0.38/0.57  (assume @p13 @t25)
% 0.38/0.57  (step @p14 :rule bool-impl-elim :args (@t24 @t14))
% 0.38/0.57  (step @p15 :rule cong :premises (@p14) :args (@t25))
% 0.38/0.57  (step @p16 :rule eq_resolve :premises (@p13 @p15))
% 0.38/0.57  (step @p17 :rule aci_norm :args ((= (or @t26 @t11) (or @t26 @t10 @t9))))
% 0.38/0.57  (step @p18 :rule bool-impl-elim :args (@t5 @t11))
% 0.38/0.57  (step @p19 :rule trans :premises (@p18 @p17))
% 0.38/0.57  (step @p20 :rule cong :premises (@p19) :args (@t12))
% 0.38/0.57  (step @p21 :rule eq_resolve :premises (@p6 @p20))
% 0.38/0.57  (step @p22 :rule instantiate :premises (@p21) :args ((@list @t29 @t28 @t27)))
% 0.38/0.57  (step @p23 :rule eq-symm :args (@t6 @t3))
% 0.38/0.57  (step @p24 :rule cong :premises (@p23) :args (@t7))
% 0.38/0.57  (step @p25 :rule eq_resolve :premises (@p5 @p24))
% 0.38/0.57  (step @p26 :rule eq-symm :args (@t30 @t31))
% 0.38/0.57  (step @p27 :rule refl :args (@t32))
% 0.38/0.57  (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t32 @t33)))
% 0.38/0.57  (assume-push @p177 @t32)
% 0.38/0.57  (step @p30 :rule instantiate :premises (@p25) :args ((@list @t27 @t29)))
% 0.38/0.57  (step-pop @p178 :rule scope :premises (@p30))
% 0.38/0.57  (step @p31 :rule process_scope :premises (@p178) :args (@t33))
% 0.38/0.57  (step @p33 :rule eq_resolve :premises (@p31 @p28))
% 0.38/0.57  (step @p34 :rule implies_elim :premises (@p33))
% 0.38/0.57  (step @p35 :rule chain_m_resolution :premises (@p34 @p25) :args (@t34 (@list false) (@list @t32)))
% 0.38/0.57  (step @p36 :rule instantiate :premises (@p2) :args ((@list @t29 @t28)))
% 0.38/0.57  (step @p37 :rule refl :args (@t40))
% 0.38/0.57  (step @p38 :rule bool-double-not-elim :args (@t15))
% 0.38/0.57  (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t16) @t40)))
% 0.38/0.57  (step @p40 :rule refl :args (@t35))
% 0.38/0.57  (step @p41 :rule eq-symm :args (@t29 tptp.empty_set))
% 0.38/0.57  (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t42))
% 0.38/0.57  (step @p43 :rule refl :args (@t38))
% 0.38/0.57  (step @p44 :rule cong :premises (@p43 @p42) :args (@t43))
% 0.38/0.57  (step @p45 :rule cong :premises (@p44) :args (@t44))
% 0.38/0.57  (step @p46 :rule refl :args (@t16))
% 0.38/0.57  (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t16 @t44)))
% 0.38/0.57  (assume-push @p179 @t16)
% 0.38/0.57  (step @p49 :rule skolemize :premises (@p7))
% 0.38/0.57  (step-pop @p180 :rule scope :premises (@p49))
% 0.38/0.57  (step @p50 :rule process_scope :premises (@p180) :args (@t44))
% 0.38/0.57  (step @p52 :rule eq_resolve :premises (@p50 @p47))
% 0.38/0.57  (step @p53 :rule implies_elim :premises (@p52))
% 0.38/0.57  (step @p54 :rule eq_resolve :premises (@p53 @p39))
% 0.38/0.57  (step @p55 :rule chain_m_resolution :premises (@p54 @p7) :args (@t40 @t45 (@list @t15)))
% 0.38/0.57  (step @p56 :rule cnf_equiv_neg1 :args (@t39))
% 0.38/0.57  (step @p57 :rule reordering :premises (@p56) :args ((or @t38 @t37 @t39)))
% 0.38/0.57  (step @p58 :rule instantiate :premises (@p11) :args (@t46))
% 0.38/0.57  (step @p59 :rule refl :args (@t48))
% 0.38/0.57  (step @p60 :rule bool-double-not-elim :args (@t38))
% 0.38/0.57  (step @p61 :rule refl :args (@t49))
% 0.38/0.57  (step @p62 :rule nary_cong :premises (@p61 @p60 @p59) :args ((or @t49 (not @t50) @t48)))
% 0.38/0.57  (assume-push @p181 @t50)
% 0.38/0.57  (assume-push @p182 @t36)
% 0.38/0.57  (assume-push @p183 @t47)
% 0.38/0.57  (step @p66 :rule evaluate :args ((= true false)))
% 0.38/0.57  (step @p67 :rule false_intro :premises (@p181))
% 0.38/0.57  (step @p68 :rule refl :args (@t28))
% 0.38/0.57  (step @p69 :rule cong :premises (@p182 @p68) :args (@t47))
% 0.38/0.57  (step @p70 :rule true_intro :premises (@p58))
% 0.38/0.57  (step @p71 :rule symm :premises (@p70))
% 0.38/0.57  (step @p72 :rule trans :premises (@p71 @p69 @p67))
% 0.38/0.57  (step @p73 false :rule eq_resolve :premises (@p72 @p66))
% 0.38/0.57  (step-pop @p184 :rule scope :premises (@p73))
% 0.38/0.57  (step-pop @p185 :rule scope :premises (@p184))
% 0.38/0.57  (step-pop @p186 :rule scope :premises (@p185))
% 0.38/0.57  (step @p74 :rule process_scope :premises (@p186) :args (false))
% 0.38/0.57  (assume-push @p187 @t36)
% 0.38/0.57  (assume-push @p188 @t50)
% 0.38/0.57  (assume-push @p189 @t47)
% 0.38/0.57  (step @p81 :rule and_intro :premises (@p188 @p187 @p58))
% 0.38/0.57  (step-pop @p190 :rule scope :premises (@p81))
% 0.38/0.57  (step-pop @p191 :rule scope :premises (@p190))
% 0.38/0.57  (step-pop @p192 :rule scope :premises (@p191))
% 0.38/0.57  (step @p82 :rule process_scope :premises (@p192) :args (@t51))
% 0.38/0.57  (step @p86 :rule implies_elim :premises (@p82))
% 0.38/0.57  (step @p87 :rule resolution :premises (@p86 @p74) :args (true @t51))
% 0.38/0.57  (step @p88 :rule not_and :premises (@p87))
% 0.38/0.57  (step @p89 :rule eq_resolve :premises (@p88 @p62))
% 0.38/0.57  (step @p90 :rule reordering :premises (@p89) :args ((or @t38 @t49 @t48)))
% 0.38/0.57  (step @p91 :rule cnf_and_pos :args (@t52 0))
% 0.38/0.57  (step @p92 :rule reordering :premises (@p91) :args ((or @t38 @t53)))
% 0.38/0.57  (step @p93 :rule cnf_or_pos :args (@t37))
% 0.38/0.57  (step @p94 :rule reordering :premises (@p93) :args ((or @t35 @t36 @t54)))
% 0.38/0.57  (step @p95 :rule cnf_equiv_pos1 :args (@t55))
% 0.38/0.57  (step @p96 :rule reordering :premises (@p95) :args ((or @t57 @t52 @t56)))
% 0.38/0.57  (step @p97 :rule chain_m_resolution :premises (@p96 @p36 @p94 @p92 @p90 @p58 @p57 @p55) :args (@t38 (@list false false true true false false true) (@list @t55 @t35 @t52 @t36 @t47 @t37 @t39)))
% 0.38/0.57  (step @p98 :rule cnf_equiv_neg2 :args (@t39))
% 0.38/0.57  (step @p99 :rule chain_m_resolution :premises (@p98 @p55 @p97) :args (@t54 @t58 (@list @t39 @t38)))
% 0.38/0.57  (step @p100 :rule cnf_or_neg :args (@t37 1))
% 0.38/0.57  (step @p101 :rule chain_m_resolution :premises (@p100 @p99) :args (@t57 @t45 @t59))
% 0.38/0.57  (step @p102 :rule cnf_equiv_pos2 :args (@t55))
% 0.38/0.57  (step @p103 :rule reordering :premises (@p102) :args ((or @t35 @t53 @t56)))
% 0.38/0.57  (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p36) :args (@t53 @t58 (@list @t35 @t55)))
% 0.38/0.57  (step @p105 :rule cnf_and_neg :args (@t52))
% 0.38/0.57  (step @p106 :rule reordering :premises (@p105) :args ((or @t50 @t52 @t60)))
% 0.38/0.57  (step @p107 :rule chain_m_resolution :premises (@p106 @p97 @p104) :args (@t60 (@list false true) (@list @t38 @t52)))
% 0.38/0.57  (step @p108 :rule cnf_equiv_pos2 :args (@t34))
% 0.38/0.57  (step @p109 :rule reordering :premises (@p108) :args ((or @t31 @t61 (not @t34))))
% 0.38/0.57  (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p35) :args (@t61 @t58 (@list @t31 @t34)))
% 0.38/0.57  (step @p111 :rule cnf_or_pos :args (@t64))
% 0.38/0.57  (step @p112 :rule reordering :premises (@p111) :args ((or @t50 @t30 @t63 (not @t64))))
% 0.38/0.57  (step @p113 :rule chain_m_resolution :premises (@p112 @p97 @p110 @p22) :args (@t63 (@list false true false) (@list @t38 @t30 @t64)))
% 0.38/0.57  (step @p114 :rule eq-symm :args (@t21 tptp.empty_set))
% 0.38/0.57  (step @p115 :rule refl :args (@t5))
% 0.38/0.57  (step @p116 :rule cong :premises (@p115 @p114) :args ((= @t5 @t22)))
% 0.38/0.57  (step @p117 :rule eq-symm :args (@t22 @t5))
% 0.38/0.57  (step @p118 :rule trans :premises (@p117 @p116))
% 0.38/0.57  (step @p119 :rule cong :premises (@p118) :args (@t23))
% 0.38/0.57  (step @p120 :rule eq_resolve :premises (@p12 @p119))
% 0.38/0.57  (step @p121 :rule instantiate :premises (@p120) :args ((@list @t28 @t28)))
% 0.38/0.57  (step @p122 :rule quant-unused-vars :args ((= @t20 (forall @t18 @t19))))
% 0.38/0.57  (step @p123 :rule eq_resolve :premises (@p10 @p122))
% 0.38/0.57  (step @p124 :rule instantiate :premises (@p123) :args (@t46))
% 0.38/0.57  (step @p125 :rule cnf_equiv_pos1 :args (@t67))
% 0.38/0.57  (step @p126 :rule reordering :premises (@p125) :args ((or (not @t66) @t65 (not @t67))))
% 0.38/0.57  (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p121) :args (@t65 @t68 (@list @t66 @t67)))
% 0.38/0.57  (step @p128 :rule instantiate :premises (@p120) :args ((@list tptp.empty_set @t28)))
% 0.38/0.57  (step @p129 :rule cnf_equiv_pos1 :args (@t71))
% 0.38/0.57  (step @p130 :rule reordering :premises (@p129) :args ((or @t48 @t70 (not @t71))))
% 0.38/0.57  (step @p131 :rule chain_m_resolution :premises (@p130 @p58 @p128) :args (@t70 @t68 (@list @t47 @t71)))
% 0.38/0.57  (assume-push @p193 @t70)
% 0.38/0.57  (assume-push @p194 @t65)
% 0.38/0.57  (assume-push @p195 @t63)
% 0.38/0.57  (assume-push @p196 @t63)
% 0.38/0.57  (assume-push @p197 @t65)
% 0.38/0.57  (assume-push @p198 @t70)
% 0.38/0.57  (step @p138 :rule true_intro :premises (@p195))
% 0.38/0.57  (step @p139 :rule symm :premises (@p131))
% 0.38/0.57  (step @p140 :rule trans :premises (@p139 @p127))
% 0.38/0.57  (step @p141 :rule refl :args (@t29))
% 0.38/0.57  (step @p142 :rule cong :premises (@p141 @p140) :args ((tptp.subset @t29 @t69)))
% 0.38/0.57  (step @p143 :rule cong :premises (@p141 @p131) :args (@t72))
% 0.38/0.57  (step @p144 :rule trans :premises (@p143 @p142 @p138))
% 0.38/0.57  (step @p145 :rule true_elim :premises (@p144))
% 0.38/0.57  (step-pop @p199 :rule scope :premises (@p145))
% 0.38/0.57  (step-pop @p200 :rule scope :premises (@p199))
% 0.38/0.57  (step-pop @p201 :rule scope :premises (@p200))
% 0.38/0.57  (step @p146 :rule process_scope :premises (@p201) :args (@t72))
% 0.38/0.57  (step @p150 :rule and_intro :premises (@p195 @p127 @p131))
% 0.38/0.57  (step @p151 :rule modus_ponens :premises (@p150 @p146))
% 0.38/0.57  (step-pop @p202 :rule scope :premises (@p151))
% 0.38/0.57  (step-pop @p203 :rule scope :premises (@p202))
% 0.38/0.57  (step-pop @p204 :rule scope :premises (@p203))
% 0.38/0.57  (step @p152 :rule process_scope :premises (@p204) :args (@t72))
% 0.38/0.57  (step @p156 :rule implies_elim :premises (@p152))
% 0.38/0.57  (step @p157 :rule cnf_and_neg :args (@t73))
% 0.38/0.57  (step @p158 :rule resolution :premises (@p157 @p156) :args (true @t73))
% 0.38/0.57  (step @p159 :rule reordering :premises (@p158) :args ((or (not @t70) (not @t65) @t72 (not @t63))))
% 0.38/0.57  (step @p160 :rule chain_m_resolution :premises (@p159 @p131 @p127 @p113) :args (@t72 (@list false false false) (@list @t70 @t65 @t63)))
% 0.38/0.57  (step @p161 :rule cnf_or_neg :args (@t37 0))
% 0.38/0.57  (step @p162 :rule chain_m_resolution :premises (@p161 @p99) :args (@t49 @t45 @t59))
% 0.38/0.57  (step @p163 :rule cnf_or_pos :args (@t75))
% 0.38/0.57  (step @p164 :rule reordering :premises (@p163) :args ((or @t36 @t74 @t76)))
% 0.38/0.57  (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p160) :args (@t76 @t58 (@list @t36 @t72)))
% 0.38/0.57  (step @p166 :rule refl :args (@t74))
% 0.38/0.57  (step @p167 :rule nary_cong :premises (@p166 @p41) :args (@t77))
% 0.38/0.57  (step @p168 :rule refl :args (@t78))
% 0.38/0.57  (step @p169 :rule cong :premises (@p168 @p167) :args ((=> @t78 @t77)))
% 0.38/0.57  (assume-push @p205 @t78)
% 0.38/0.57  (step @p171 :rule instantiate :premises (@p16) :args ((@list @t29)))
% 0.38/0.57  (step-pop @p206 :rule scope :premises (@p171))
% 0.38/0.57  (step @p172 :rule process_scope :premises (@p206) :args (@t77))
% 0.38/0.57  (step @p174 :rule eq_resolve :premises (@p172 @p169))
% 0.38/0.57  (step @p175 :rule implies_elim :premises (@p174))
% 0.38/0.57  (step @p176 false :rule chain_m_resolution :premises (@p175 @p165 @p16) :args (false @t58 (@list @t75 @t78)))
% 0.38/0.57  )
% 0.38/0.57  % SZS output end Proof
% 0.38/0.57  % cvc5 exiting
%------------------------------------------------------------------------------