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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM702^1 : 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 : n004.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 08:40:26 AM UTC 2026

% Result   : Theorem 0.38s 0.56s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM702^1 : 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
% 0.16/0.34  % Computer : n004.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 11:59:07 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TH0
% 0.38/0.56  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.38/0.56  % SZS status Theorem
% 0.38/0.56  % SZS output start Proof
% 0.38/0.56  (
% 0.38/0.56  (declare-sort tptp.nat 0)
% 0.38/0.56  (declare-const tptp.lessis (-> tptp.nat tptp.nat Bool))
% 0.38/0.56  (declare-const tptp.moreis (-> tptp.nat tptp.nat Bool))
% 0.38/0.56  (declare-const tptp.some (-> (-> tptp.nat Bool) Bool))
% 0.38/0.56  (declare-const tptp.diffprop (-> tptp.nat tptp.nat tptp.nat Bool))
% 0.38/0.56  (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat))
% 0.38/0.56  (declare-const tptp.y tptp.nat)
% 0.38/0.56  (declare-const tptp.n_1 tptp.nat)
% 0.38/0.56  (declare-const tptp.x tptp.nat)
% 0.38/0.56  (define @t1 () (@var "Xu" tptp.nat))
% 0.38/0.56  (define @t2 () (_ (_ tptp.pl tptp.y) tptp.n_1))
% 0.38/0.56  (define @t3 () (_ (_ (_ tptp.diffprop @t2) tptp.x) @t1))
% 0.38/0.56  (define @t4 () (@list @t1))
% 0.38/0.56  (define @t5 () (lambda @t4 @t3))
% 0.38/0.56  (define @t6 () (@var "Xx" tptp.nat))
% 0.38/0.56  (define @t7 () (@var "Xy" tptp.nat))
% 0.38/0.56  (define @t8 () (_ (_ tptp.moreis @t7) @t6))
% 0.38/0.56  (define @t9 () (_ (_ tptp.lessis @t6) @t7))
% 0.38/0.56  (define @t10 () (@list @t6 @t7))
% 0.38/0.56  (define @t11 () (forall @t10 (=> @t9 @t8)))
% 0.38/0.56  (define @t12 () (_ (_ tptp.lessis @t7) @t6))
% 0.38/0.56  (define @t13 () (@var "Xv" tptp.nat))
% 0.38/0.56  (define @t14 () (_ (_ tptp.pl @t6) tptp.n_1))
% 0.38/0.56  (define @t15 () (_ (_ (_ tptp.diffprop @t14) @t7) @t13))
% 0.38/0.56  (define @t16 () (@list @t13))
% 0.38/0.56  (define @t17 () (lambda @t16 @t15))
% 0.38/0.56  (define @t18 () (_ tptp.some @t17))
% 0.38/0.56  (define @t19 () (forall @t10 (=> @t18 @t12)))
% 0.38/0.56  (define @t20 () (_ (_ tptp.moreis tptp.y) tptp.x))
% 0.38/0.56  (define @t21 () (not @t20))
% 0.38/0.56  (define @t22 () (tptp.pl tptp.y tptp.n_1))
% 0.38/0.56  (define @t23 () (tptp.diffprop @t22 tptp.x @t1))
% 0.38/0.56  (define @t24 () (@purify @t5))
% 0.38/0.56  (define @t25 () (_ @t24 @t1))
% 0.38/0.56  (define @t26 () (_ (_ tptp.diffprop @t22) tptp.x))
% 0.38/0.56  (define @t27 () (= @t3 @t25))
% 0.38/0.56  (define @t28 () (_ @t5 @t1))
% 0.38/0.56  (define @t29 () (= @t25 @t28))
% 0.38/0.56  (define @t30 () (forall @t4 @t29))
% 0.38/0.56  (define @t31 () (tptp.lessis @t7 @t6))
% 0.38/0.56  (define @t32 () (tptp.pl @t6 tptp.n_1))
% 0.38/0.56  (define @t33 () (tptp.diffprop @t32 @t7 @t13))
% 0.38/0.56  (define @t34 () (lambda @t16 @t33))
% 0.38/0.56  (define @t35 () (tptp.some @t34))
% 0.38/0.56  (define @t36 () (not @t18))
% 0.38/0.56  (define @t37 () (or @t36 @t12))
% 0.38/0.56  (define @t38 () (tptp.lessis tptp.x tptp.y))
% 0.38/0.56  (define @t39 () (lambda @t16 (tptp.diffprop @t22 tptp.x @t13)))
% 0.38/0.56  (define @t40 () (tptp.some @t39))
% 0.38/0.56  (define @t41 () (not @t40))
% 0.38/0.56  (define @t42 () (or @t41 @t38))
% 0.38/0.56  (define @t43 () (forall @t10 (or (not @t35) @t31)))
% 0.38/0.56  (define @t44 () (tptp.some @t26))
% 0.38/0.56  (define @t45 () (not @t44))
% 0.38/0.56  (define @t46 () (or @t45 @t38))
% 0.38/0.56  (define @t47 () (tptp.moreis @t7 @t6))
% 0.38/0.56  (define @t48 () (tptp.lessis @t6 @t7))
% 0.38/0.56  (define @t49 () (not @t9))
% 0.38/0.56  (define @t50 () (or @t49 @t8))
% 0.38/0.56  (define @t51 () (tptp.moreis tptp.y tptp.x))
% 0.38/0.56  (define @t52 () (not @t38))
% 0.38/0.56  (define @t53 () (or @t52 @t51))
% 0.38/0.56  (define @t54 () (@list true false))
% 0.38/0.56  (define @t55 () (tptp.some @t24))
% 0.38/0.56  (define @t56 () (_ tptp.some @t24))
% 0.38/0.56  (define @t57 () (= @t24 @t26))
% 0.38/0.56  (define @t58 () (not @t57))
% 0.38/0.56  (define @t59 () (not @t55))
% 0.38/0.56  (define @t60 () (and @t55 @t57 @t45))
% 0.38/0.56  (define @t61 () (@const 0 tptp.nat))
% 0.38/0.56  (define @t62 () (= (_ @t24 @t61) (tptp.diffprop @t22 tptp.x @t61)))
% 0.38/0.56  (define @t63 () (not @t62))
% 0.38/0.56  (define @t64 () (forall @t4 (= @t25 @t23)))
% 0.38/0.56  (assume @p1 (_ tptp.some @t5))
% 0.38/0.56  (assume @p2 @t11)
% 0.38/0.56  (assume @p3 @t19)
% 0.38/0.56  (assume @p4 @t21)
% 0.38/0.56  (assume @p5 true)
% 0.38/0.56  (step @p6 :rule eq-symm :args (@t23 @t25))
% 0.38/0.56  (step @p7 :rule cong :premises (@p6) :args ((forall @t4 (= @t23 @t25))))
% 0.38/0.56  (step @p8 :rule refl :args (@t25))
% 0.38/0.56  (step @p9 :rule refl :args ((tptp.diffprop @t2 tptp.x @t1)))
% 0.38/0.56  (step @p10 :rule refl :args (@t1))
% 0.38/0.56  (step @p11 :rule refl :args (tptp.x))
% 0.38/0.56  (step @p12 :rule refl :args (@t22))
% 0.38/0.56  (step @p13 :rule cong :premises (@p12 @p11 @p10) :args (@t23))
% 0.38/0.56  (step @p14 :rule trans :premises (@p13 @p9))
% 0.38/0.56  (step @p15 :rule refl :args (tptp.diffprop))
% 0.38/0.56  (step @p16 :rule ho_cong :premises (@p15 @p12))
% 0.38/0.56  (step @p17 :rule ho_cong :premises (@p16 @p11))
% 0.38/0.56  (step @p18 :rule ho_cong :premises (@p17 @p10))
% 0.38/0.56  (step @p19 :rule cong :premises (@p18 @p14) :args ((= (_ @t26 @t1) @t23)))
% 0.38/0.56  (step @p20 :rule symm :premises (@p19))
% 0.38/0.56  (step @p21 :rule refl :args (@t3))
% 0.38/0.56  (step @p22 :rule eq_resolve :premises (@p21 @p20))
% 0.38/0.56  (step @p23 :rule refl :args (@t2))
% 0.38/0.56  (step @p24 :rule cong :premises (@p23 @p12) :args ((= @t2 @t22)))
% 0.38/0.56  (step @p25 :rule symm :premises (@p24))
% 0.38/0.56  (step @p26 :rule eq_resolve :premises (@p23 @p25))
% 0.38/0.56  (step @p27 :rule ho_cong :premises (@p15 @p26))
% 0.38/0.56  (step @p28 :rule ho_cong :premises (@p27 @p11))
% 0.38/0.56  (step @p29 :rule ho_cong :premises (@p28 @p10))
% 0.38/0.56  (step @p30 :rule trans :premises (@p29 @p22))
% 0.38/0.56  (step @p31 :rule cong :premises (@p30 @p8) :args (@t27))
% 0.38/0.56  (step @p32 :rule cong :premises (@p31) :args ((forall @t4 @t27)))
% 0.38/0.56  (step @p33 :rule trans :premises (@p32 @p7))
% 0.38/0.56  (step @p34 :rule eq-symm :args (@t25 @t3))
% 0.38/0.56  (step @p35 :rule beta-reduce :args ((= @t28 @t3)))
% 0.38/0.56  (step @p36 :rule refl :args (@t25))
% 0.38/0.56  (step @p37 :rule cong :premises (@p36 @p35) :args (@t29))
% 0.38/0.56  (step @p38 :rule trans :premises (@p37 @p34))
% 0.38/0.56  (step @p39 :rule cong :premises (@p38) :args (@t30))
% 0.38/0.56  (step @p40 :rule trans :premises (@p39 @p33))
% 0.38/0.56  (step @p41 :rule quant-unused-vars :args ((= (forall @t4 true) true)))
% 0.38/0.56  (step @p42 :rule eq-refl :args (@t28))
% 0.38/0.56  (step @p43 :rule cong :premises (@p42) :args ((forall @t4 (= @t28 @t28))))
% 0.38/0.56  (step @p44 :rule trans :premises (@p43 @p41))
% 0.38/0.56  (step @p45 :rule refl :args (@t28))
% 0.38/0.56  (step @p46 :rule refl :args (@t1))
% 0.38/0.56  (step @p47 :rule skolem_intro :args (@t24))
% 0.38/0.56  (step @p48 :rule ho_cong :premises (@p47 @p46))
% 0.38/0.56  (step @p49 :rule cong :premises (@p48 @p45) :args (@t29))
% 0.38/0.56  (step @p50 :rule cong :premises (@p49) :args (@t30))
% 0.38/0.56  (step @p51 :rule trans :premises (@p50 @p44))
% 0.38/0.56  (step @p52 :rule true_elim :premises (@p51))
% 0.38/0.56  (step @p53 :rule eq_resolve :premises (@p52 @p40))
% 0.38/0.56  (step @p54 :rule refl :args (@t31))
% 0.38/0.56  (step @p55 :rule refl :args (@t12))
% 0.38/0.56  (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t12 @t31)))
% 0.38/0.56  (step @p57 :rule symm :premises (@p56))
% 0.38/0.56  (step @p58 :rule eq_resolve :premises (@p55 @p57))
% 0.38/0.56  (step @p59 :rule refl :args ((tptp.some @t17)))
% 0.38/0.56  (step @p60 :rule refl :args ((tptp.diffprop @t14 @t7 @t13)))
% 0.38/0.56  (step @p61 :rule refl :args (@t13))
% 0.38/0.56  (step @p62 :rule refl :args (@t7))
% 0.38/0.56  (step @p63 :rule refl :args (@t32))
% 0.38/0.56  (step @p64 :rule cong :premises (@p63 @p62 @p61) :args (@t33))
% 0.38/0.56  (step @p65 :rule trans :premises (@p64 @p60))
% 0.38/0.56  (step @p66 :rule cong :premises (@p65) :args (@t34))
% 0.38/0.56  (step @p67 :rule cong :premises (@p66) :args (@t35))
% 0.38/0.56  (step @p68 :rule trans :premises (@p67 @p59))
% 0.38/0.56  (step @p69 :rule refl :args (tptp.some))
% 0.38/0.56  (step @p70 :rule ho_cong :premises (@p69 @p66))
% 0.38/0.56  (step @p71 :rule cong :premises (@p70 @p68) :args ((= (_ tptp.some @t34) @t35)))
% 0.38/0.56  (step @p72 :rule symm :premises (@p71))
% 0.38/0.56  (step @p73 :rule refl :args (@t18))
% 0.38/0.56  (step @p74 :rule eq_resolve :premises (@p73 @p72))
% 0.38/0.56  (step @p75 :rule ho_cong :premises (@p15 @p63))
% 0.38/0.56  (step @p76 :rule ho_cong :premises (@p75 @p62))
% 0.38/0.56  (step @p77 :rule ho_cong :premises (@p76 @p61))
% 0.38/0.56  (step @p78 :rule cong :premises (@p77 @p65) :args ((= (_ (_ (_ tptp.diffprop @t32) @t7) @t13) @t33)))
% 0.38/0.56  (step @p79 :rule symm :premises (@p78))
% 0.38/0.56  (step @p80 :rule refl :args (@t15))
% 0.38/0.56  (step @p81 :rule eq_resolve :premises (@p80 @p79))
% 0.38/0.56  (step @p82 :rule refl :args (@t14))
% 0.38/0.56  (step @p83 :rule cong :premises (@p82 @p63) :args ((= @t14 @t32)))
% 0.38/0.56  (step @p84 :rule symm :premises (@p83))
% 0.38/0.56  (step @p85 :rule eq_resolve :premises (@p82 @p84))
% 0.38/0.56  (step @p86 :rule ho_cong :premises (@p15 @p85))
% 0.38/0.56  (step @p87 :rule ho_cong :premises (@p86 @p62))
% 0.38/0.56  (step @p88 :rule ho_cong :premises (@p87 @p61))
% 0.38/0.56  (step @p89 :rule trans :premises (@p88 @p81))
% 0.38/0.56  (step @p90 :rule cong :premises (@p89) :args (@t17))
% 0.38/0.56  (step @p91 :rule ho_cong :premises (@p69 @p90))
% 0.38/0.56  (step @p92 :rule trans :premises (@p91 @p74))
% 0.38/0.56  (step @p93 :rule cong :premises (@p92) :args (@t36))
% 0.38/0.56  (step @p94 :rule nary_cong :premises (@p93 @p58) :args (@t37))
% 0.38/0.56  (step @p95 :rule cong :premises (@p94) :args ((forall @t10 @t37)))
% 0.38/0.56  (step @p96 :rule bool-impl-elim :args (@t18 @t12))
% 0.38/0.56  (step @p97 :rule cong :premises (@p96) :args (@t19))
% 0.38/0.56  (step @p98 :rule trans :premises (@p97 @p95))
% 0.38/0.56  (step @p99 :rule eq_resolve :premises (@p3 @p98))
% 0.38/0.56  (step @p100 :rule refl :args (@t38))
% 0.38/0.56  (step @p101 :rule lambda-elim :args ((= @t39 @t26)))
% 0.38/0.56  (step @p102 :rule cong :premises (@p101) :args (@t40))
% 0.38/0.56  (step @p103 :rule cong :premises (@p102) :args (@t41))
% 0.38/0.56  (step @p104 :rule nary_cong :premises (@p103 @p100) :args (@t42))
% 0.38/0.56  (step @p105 :rule refl :args (@t43))
% 0.38/0.56  (step @p106 :rule cong :premises (@p105 @p104) :args ((=> @t43 @t42)))
% 0.38/0.56  (assume-push @p199 @t43)
% 0.38/0.56  (step @p108 :rule instantiate :premises (@p99) :args ((@list tptp.y tptp.x)))
% 0.38/0.56  (step-pop @p200 :rule scope :premises (@p108))
% 0.38/0.56  (step @p109 :rule process_scope :premises (@p200) :args (@t42))
% 0.38/0.56  (step @p111 :rule eq_resolve :premises (@p109 @p106))
% 0.38/0.56  (step @p112 :rule implies_elim :premises (@p111))
% 0.38/0.56  (step @p113 :rule chain_m_resolution :premises (@p112 @p99) :args (@t46 (@list false) (@list @t43)))
% 0.38/0.56  (step @p114 :rule refl :args (@t47))
% 0.38/0.56  (step @p115 :rule refl :args (@t8))
% 0.38/0.56  (step @p116 :rule cong :premises (@p115 @p114) :args ((= @t8 @t47)))
% 0.38/0.56  (step @p117 :rule symm :premises (@p116))
% 0.38/0.56  (step @p118 :rule eq_resolve :premises (@p115 @p117))
% 0.38/0.56  (step @p119 :rule refl :args (@t48))
% 0.38/0.56  (step @p120 :rule refl :args (@t9))
% 0.38/0.56  (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t9 @t48)))
% 0.38/0.56  (step @p122 :rule symm :premises (@p121))
% 0.38/0.56  (step @p123 :rule eq_resolve :premises (@p120 @p122))
% 0.38/0.56  (step @p124 :rule cong :premises (@p123) :args (@t49))
% 0.38/0.56  (step @p125 :rule nary_cong :premises (@p124 @p118) :args (@t50))
% 0.38/0.56  (step @p126 :rule cong :premises (@p125) :args ((forall @t10 @t50)))
% 0.38/0.56  (step @p127 :rule bool-impl-elim :args (@t9 @t8))
% 0.38/0.56  (step @p128 :rule cong :premises (@p127) :args (@t11))
% 0.38/0.56  (step @p129 :rule trans :premises (@p128 @p126))
% 0.38/0.56  (step @p130 :rule eq_resolve :premises (@p2 @p129))
% 0.38/0.56  (step @p131 :rule instantiate :premises (@p130) :args ((@list tptp.x tptp.y)))
% 0.38/0.56  (step @p132 :rule refl :args (@t51))
% 0.38/0.56  (step @p133 :rule refl :args (@t20))
% 0.38/0.56  (step @p134 :rule cong :premises (@p133 @p132) :args ((= @t20 @t51)))
% 0.38/0.56  (step @p135 :rule symm :premises (@p134))
% 0.38/0.56  (step @p136 :rule eq_resolve :premises (@p133 @p135))
% 0.38/0.56  (step @p137 :rule cong :premises (@p136) :args (@t21))
% 0.38/0.56  (step @p138 :rule eq_resolve :premises (@p4 @p137))
% 0.38/0.56  (step @p139 :rule cnf_or_pos :args (@t53))
% 0.38/0.56  (step @p140 :rule reordering :premises (@p139) :args ((or @t51 @t52 (not @t53))))
% 0.38/0.56  (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p131) :args (@t52 @t54 (@list @t51 @t53)))
% 0.38/0.56  (step @p142 :rule cnf_or_pos :args (@t46))
% 0.38/0.56  (step @p143 :rule reordering :premises (@p142) :args ((or @t38 @t45 (not @t46))))
% 0.38/0.56  (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p113) :args (@t45 @t54 (@list @t38 @t46)))
% 0.38/0.56  (step @p145 :rule refl :args (@t55))
% 0.38/0.56  (step @p146 :rule refl :args (@t56))
% 0.38/0.56  (step @p147 :rule cong :premises (@p146 @p145) :args ((= @t56 @t55)))
% 0.38/0.56  (step @p148 :rule symm :premises (@p147))
% 0.38/0.56  (step @p149 :rule eq_resolve :premises (@p146 @p148))
% 0.38/0.56  (step @p150 :rule eq-refl :args (@t5))
% 0.38/0.56  (step @p151 :rule refl :args (@t5))
% 0.38/0.56  (step @p152 :rule cong :premises (@p151 @p47) :args ((= @t5 @t24)))
% 0.38/0.56  (step @p153 :rule trans :premises (@p152 @p150))
% 0.38/0.56  (step @p154 :rule true_elim :premises (@p153))
% 0.38/0.56  (step @p155 :rule refl :args (tptp.some))
% 0.38/0.56  (step @p156 :rule ho_cong :premises (@p155 @p154))
% 0.38/0.56  (step @p157 :rule trans :premises (@p156 @p149))
% 0.38/0.56  (step @p158 :rule eq_resolve :premises (@p1 @p157))
% 0.38/0.56  (step @p159 :rule refl :args (@t58))
% 0.38/0.56  (step @p160 :rule bool-double-not-elim :args (@t44))
% 0.38/0.56  (step @p161 :rule refl :args (@t59))
% 0.38/0.56  (step @p162 :rule nary_cong :premises (@p161 @p160 @p159) :args ((or @t59 (not @t45) @t58)))
% 0.38/0.56  (assume-push @p201 @t55)
% 0.38/0.56  (assume-push @p202 @t57)
% 0.38/0.56  (assume-push @p203 @t45)
% 0.38/0.56  (step @p166 :rule evaluate :args ((= false true)))
% 0.38/0.56  (step @p167 :rule true_intro :premises (@p158))
% 0.38/0.56  (step @p168 :rule symm :premises (@p202))
% 0.38/0.56  (step @p169 :rule cong :premises (@p168) :args (@t44))
% 0.38/0.56  (step @p170 :rule false_intro :premises (@p144))
% 0.38/0.56  (step @p171 :rule symm :premises (@p170))
% 0.38/0.56  (step @p172 :rule trans :premises (@p171 @p169 @p167))
% 0.38/0.56  (step @p173 false :rule eq_resolve :premises (@p172 @p166))
% 0.38/0.56  (step-pop @p204 :rule scope :premises (@p173))
% 0.38/0.56  (step-pop @p205 :rule scope :premises (@p204))
% 0.38/0.56  (step-pop @p206 :rule scope :premises (@p205))
% 0.38/0.56  (step @p174 :rule process_scope :premises (@p206) :args (false))
% 0.38/0.56  (assume-push @p207 @t55)
% 0.38/0.56  (assume-push @p208 @t45)
% 0.38/0.56  (assume-push @p209 @t57)
% 0.38/0.56  (step @p181 :rule and_intro :premises (@p158 @p209 @p144))
% 0.38/0.56  (step-pop @p210 :rule scope :premises (@p181))
% 0.38/0.56  (step-pop @p211 :rule scope :premises (@p210))
% 0.38/0.56  (step-pop @p212 :rule scope :premises (@p211))
% 0.38/0.56  (step @p182 :rule process_scope :premises (@p212) :args (@t60))
% 0.38/0.56  (step @p186 :rule implies_elim :premises (@p182))
% 0.38/0.56  (step @p187 :rule resolution :premises (@p186 @p174) :args (true @t60))
% 0.38/0.56  (step @p188 :rule not_and :premises (@p187))
% 0.38/0.56  (step @p189 :rule eq_resolve :premises (@p188 @p162))
% 0.38/0.56  (step @p190 :rule chain_m_resolution :premises (@p189 @p158 @p144) :args (@t58 (@list false true) (@list @t55 @t44)))
% 0.38/0.56  ; WARNING: add trust step for TRUST
% 0.38/0.56  ; trust TRUST THEORY_LEMMA
% 0.38/0.56  (step @p191 :rule trust :premises () :args ((or @t57 @t63)))
% 0.38/0.56  (step @p192 :rule chain_m_resolution :premises (@p191 @p190) :args (@t63 (@list true) (@list @t57)))
% 0.38/0.56  (assume-push @p213 @t64)
% 0.38/0.56  (step @p194 :rule instantiate :premises (@p53) :args ((@list @t61)))
% 0.38/0.56  (step-pop @p214 :rule scope :premises (@p194))
% 0.38/0.56  (step @p195 :rule process_scope :premises (@p214) :args (@t62))
% 0.38/0.56  (step @p197 :rule implies_elim :premises (@p195))
% 0.38/0.56  (step @p198 false :rule chain_m_resolution :premises (@p197 @p192 @p53) :args (false @t54 (@list @t62 @t64)))
% 0.38/0.56  )
% 0.38/0.56  % SZS output end Proof
% 0.38/0.56  % cvc5 exiting
%------------------------------------------------------------------------------