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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO503^1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 09:13:01 AM UTC 2026

% Result   : Theorem 0.37s 0.56s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO503^1 : TPTP v9.2.1. Released v4.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.34  % Computer : n013.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Wed Jun  3 00:18:30 EDT 2026
% 0.18/0.34  % CPUTime  : 
% 0.27/0.49  %----Proving TH0
% 0.37/0.56  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.37/0.56  % SZS status Theorem
% 0.37/0.56  % SZS output start Proof
% 0.37/0.56  (
% 0.37/0.56  (declare-const tptp.a Bool)
% 0.37/0.56  (declare-const tptp.b Bool)
% 0.37/0.56  (declare-const tptp.f (-> Bool Bool))
% 0.37/0.56  (declare-const tptp.p (-> (-> Bool Bool) Bool))
% 0.37/0.56  (declare-const tptp.g (-> Bool Bool))
% 0.37/0.56  (define @t1 () (_ tptp.p tptp.g))
% 0.37/0.56  (define @t2 () (_ tptp.p tptp.f))
% 0.37/0.56  (define @t3 () (not @t2))
% 0.37/0.56  (define @t4 () (not (_ tptp.g tptp.b)))
% 0.37/0.56  (define @t5 () (not (_ tptp.g tptp.a)))
% 0.37/0.56  (define @t6 () (not (_ tptp.f tptp.b)))
% 0.37/0.56  (define @t7 () (not (_ tptp.f tptp.a)))
% 0.37/0.56  (define @t8 () (= tptp.a tptp.b))
% 0.37/0.56  (define @t9 () (or @t8 @t7 @t6 @t5 @t4 @t3 @t1))
% 0.37/0.56  (define @t10 () (not @t9))
% 0.37/0.56  (define @t11 () (tptp.p tptp.g))
% 0.37/0.56  (define @t12 () (tptp.p tptp.f))
% 0.37/0.56  (define @t13 () (@purify tptp.b))
% 0.37/0.56  (define @t14 () (tptp.g @t13))
% 0.37/0.56  (define @t15 () (_ tptp.g @t13))
% 0.37/0.56  (define @t16 () (not tptp.b))
% 0.37/0.56  (define @t17 () (@purify @t16))
% 0.37/0.56  (define @t18 () (tptp.g @t17))
% 0.37/0.56  (define @t19 () (_ tptp.g @t17))
% 0.37/0.56  (define @t20 () (not (_ tptp.g @t16)))
% 0.37/0.56  (define @t21 () (tptp.f @t13))
% 0.37/0.56  (define @t22 () (_ tptp.f @t13))
% 0.37/0.56  (define @t23 () (tptp.f @t17))
% 0.37/0.56  (define @t24 () (_ tptp.f @t17))
% 0.37/0.56  (define @t25 () (not (_ tptp.f @t16)))
% 0.37/0.56  (define @t26 () (or @t25 @t6 @t20 @t4 @t3 @t1))
% 0.37/0.56  (define @t27 () (or (= @t16 tptp.b) @t25 @t6 @t20 @t4 @t3 @t1))
% 0.37/0.56  (define @t28 () (@const 0 Bool))
% 0.37/0.56  (define @t29 () (@purify @t28))
% 0.37/0.56  (define @t30 () (tptp.f @t29))
% 0.37/0.56  (define @t31 () (not @t29))
% 0.37/0.56  (define @t32 () (not @t23))
% 0.37/0.56  (define @t33 () (not @t17))
% 0.37/0.56  (define @t34 () (not @t30))
% 0.37/0.56  (define @t35 () (not @t34))
% 0.37/0.56  (define @t36 () (= false true))
% 0.37/0.56  (define @t37 () (and @t23 @t17 @t29 @t34))
% 0.37/0.56  (define @t38 () (not @t21))
% 0.37/0.56  (define @t39 () (not @t31))
% 0.37/0.56  (define @t40 () (not @t13))
% 0.37/0.56  (define @t41 () (not @t40))
% 0.37/0.56  (define @t42 () (and @t21 @t40 @t31 @t34))
% 0.37/0.56  (define @t43 () (= tptp.f tptp.g))
% 0.37/0.56  (define @t44 () (not @t43))
% 0.37/0.56  (define @t45 () (not @t12))
% 0.37/0.56  (define @t46 () (not @t11))
% 0.37/0.56  (define @t47 () (and @t12 @t43 @t46))
% 0.37/0.56  (define @t48 () (@list true false))
% 0.37/0.56  (define @t49 () (tptp.g @t29))
% 0.37/0.56  (define @t50 () (tptp.g @t28))
% 0.37/0.56  (define @t51 () (tptp.f @t28))
% 0.37/0.56  (define @t52 () (= @t51 @t50))
% 0.37/0.56  (define @t53 () (not @t52))
% 0.37/0.56  (define @t54 () (or @t43 @t53))
% 0.37/0.56  (define @t55 () (= @t49 @t30))
% 0.37/0.56  (define @t56 () (not @t18))
% 0.37/0.56  (define @t57 () (not @t49))
% 0.37/0.56  (define @t58 () (not @t57))
% 0.37/0.56  (define @t59 () (and @t18 @t17 @t29 @t57))
% 0.37/0.56  (define @t60 () (not @t14))
% 0.37/0.56  (define @t61 () (and @t14 @t40 @t31 @t57))
% 0.37/0.56  (define @t62 () (@list false))
% 0.37/0.56  (define @t63 () (@list tptp.b))
% 0.37/0.56  (define @t64 () (and @t21 @t13 @t29 @t34))
% 0.37/0.56  (define @t65 () (not @t33))
% 0.37/0.56  (define @t66 () (and @t23 @t33 @t31 @t34))
% 0.37/0.56  (define @t67 () (and @t14 @t13 @t29 @t57))
% 0.37/0.56  (define @t68 () (and @t18 @t33 @t31 @t57))
% 0.37/0.56  (assume @p1 @t10)
% 0.37/0.56  (assume @p2 true)
% 0.37/0.56  (step @p3 :rule refl :args (@t11))
% 0.37/0.56  (step @p4 :rule refl :args (@t1))
% 0.37/0.56  (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t1 @t11)))
% 0.37/0.56  (step @p6 :rule symm :premises (@p5))
% 0.37/0.56  (step @p7 :rule eq_resolve :premises (@p4 @p6))
% 0.37/0.56  (step @p8 :rule refl :args (@t12))
% 0.37/0.56  (step @p9 :rule refl :args (@t2))
% 0.37/0.56  (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t2 @t12)))
% 0.37/0.56  (step @p11 :rule symm :premises (@p10))
% 0.37/0.56  (step @p12 :rule eq_resolve :premises (@p9 @p11))
% 0.37/0.56  (step @p13 :rule cong :premises (@p12) :args (@t3))
% 0.37/0.56  (step @p14 :rule refl :args (@t14))
% 0.37/0.56  (step @p15 :rule refl :args (@t15))
% 0.37/0.56  (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t15 @t14)))
% 0.37/0.56  (step @p17 :rule symm :premises (@p16))
% 0.37/0.56  (step @p18 :rule eq_resolve :premises (@p15 @p17))
% 0.37/0.56  (step @p19 :rule eq-refl :args (tptp.b))
% 0.37/0.56  (step @p20 :rule skolem_intro :args (@t13))
% 0.37/0.56  (step @p21 :rule refl :args (tptp.b))
% 0.37/0.56  (step @p22 :rule cong :premises (@p21 @p20) :args ((= tptp.b @t13)))
% 0.37/0.56  (step @p23 :rule trans :premises (@p22 @p19))
% 0.37/0.56  (step @p24 :rule true_elim :premises (@p23))
% 0.37/0.56  (step @p25 :rule refl :args (tptp.g))
% 0.37/0.56  (step @p26 :rule ho_cong :premises (@p25 @p24))
% 0.37/0.56  (step @p27 :rule trans :premises (@p26 @p18))
% 0.37/0.56  (step @p28 :rule cong :premises (@p27) :args (@t4))
% 0.37/0.56  (step @p29 :rule refl :args (@t18))
% 0.37/0.56  (step @p30 :rule refl :args (@t19))
% 0.37/0.56  (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t19 @t18)))
% 0.37/0.56  (step @p32 :rule symm :premises (@p31))
% 0.37/0.56  (step @p33 :rule eq_resolve :premises (@p30 @p32))
% 0.37/0.56  (step @p34 :rule eq-refl :args (@t16))
% 0.37/0.56  (step @p35 :rule skolem_intro :args (@t17))
% 0.37/0.56  (step @p36 :rule refl :args (@t16))
% 0.37/0.56  (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t16 @t17)))
% 0.37/0.56  (step @p38 :rule trans :premises (@p37 @p34))
% 0.37/0.56  (step @p39 :rule true_elim :premises (@p38))
% 0.37/0.56  (step @p40 :rule ho_cong :premises (@p25 @p39))
% 0.37/0.56  (step @p41 :rule trans :premises (@p40 @p33))
% 0.37/0.56  (step @p42 :rule cong :premises (@p41) :args (@t20))
% 0.37/0.56  (step @p43 :rule refl :args (@t21))
% 0.37/0.56  (step @p44 :rule refl :args (@t22))
% 0.37/0.56  (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t22 @t21)))
% 0.37/0.56  (step @p46 :rule symm :premises (@p45))
% 0.37/0.56  (step @p47 :rule eq_resolve :premises (@p44 @p46))
% 0.37/0.56  (step @p48 :rule refl :args (tptp.f))
% 0.37/0.56  (step @p49 :rule ho_cong :premises (@p48 @p24))
% 0.37/0.56  (step @p50 :rule trans :premises (@p49 @p47))
% 0.37/0.56  (step @p51 :rule cong :premises (@p50) :args (@t6))
% 0.37/0.56  (step @p52 :rule refl :args (@t23))
% 0.37/0.56  (step @p53 :rule refl :args (@t24))
% 0.37/0.56  (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t24 @t23)))
% 0.37/0.56  (step @p55 :rule symm :premises (@p54))
% 0.37/0.56  (step @p56 :rule eq_resolve :premises (@p53 @p55))
% 0.37/0.56  (step @p57 :rule ho_cong :premises (@p48 @p39))
% 0.37/0.56  (step @p58 :rule trans :premises (@p57 @p56))
% 0.37/0.56  (step @p59 :rule cong :premises (@p58) :args (@t25))
% 0.37/0.56  (step @p60 :rule nary_cong :premises (@p59 @p51 @p42 @p28 @p13 @p7) :args (@t26))
% 0.37/0.56  (step @p61 :rule cong :premises (@p60) :args ((not @t26)))
% 0.37/0.56  (step @p62 :rule aci_norm :args ((= (or false @t25 @t6 @t20 @t4 @t3 @t1) @t26)))
% 0.37/0.56  (step @p63 :rule refl :args (@t1))
% 0.37/0.56  (step @p64 :rule refl :args (@t3))
% 0.37/0.56  (step @p65 :rule refl :args (@t4))
% 0.37/0.56  (step @p66 :rule refl :args (@t20))
% 0.37/0.56  (step @p67 :rule refl :args (@t6))
% 0.37/0.56  (step @p68 :rule refl :args (@t25))
% 0.37/0.56  (step @p69 :rule bool-eq-nrefl :args (tptp.b))
% 0.37/0.56  (step @p70 :rule eq-symm :args (@t16 tptp.b))
% 0.37/0.56  (step @p71 :rule trans :premises (@p70 @p69))
% 0.37/0.56  (step @p72 :rule nary_cong :premises (@p71 @p68 @p67 @p66 @p65 @p64 @p63) :args (@t27))
% 0.37/0.56  (step @p73 :rule trans :premises (@p72 @p62))
% 0.37/0.56  (step @p74 :rule cong :premises (@p73) :args ((not @t27)))
% 0.37/0.56  (step @p75 :rule bool-not-eq-elim2 :args (tptp.a tptp.b))
% 0.37/0.56  (step @p76 :rule not_or_elim :premises (@p1) :args (0))
% 0.37/0.56  (step @p77 :rule eq_resolve :premises (@p76 @p75))
% 0.37/0.56  (step @p78 :rule ho_cong :premises (@p25 @p77))
% 0.37/0.56  (step @p79 :rule cong :premises (@p78) :args (@t5))
% 0.37/0.56  (step @p80 :rule ho_cong :premises (@p48 @p77))
% 0.37/0.56  (step @p81 :rule cong :premises (@p80) :args (@t7))
% 0.37/0.56  (step @p82 :rule cong :premises (@p77 @p21) :args (@t8))
% 0.37/0.56  (step @p83 :rule nary_cong :premises (@p82 @p81 @p67 @p79 @p65 @p64 @p63) :args (@t9))
% 0.37/0.56  (step @p84 :rule cong :premises (@p83) :args (@t10))
% 0.37/0.56  (step @p85 :rule trans :premises (@p84 @p74))
% 0.37/0.56  (step @p86 :rule trans :premises (@p85 @p61))
% 0.37/0.56  (step @p87 :rule eq_resolve :premises (@p1 @p86))
% 0.37/0.56  (step @p88 :rule not_or_elim :premises (@p87) :args (2))
% 0.37/0.56  (step @p89 :rule not_not_elim :premises (@p88))
% 0.37/0.56  (step @p90 :rule equiv_elim2 :premises (@p24))
% 0.37/0.56  (step @p91 :rule refl :args (@t17))
% 0.37/0.56  (step @p92 :rule bool-double-not-elim :args (tptp.b))
% 0.37/0.56  (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or (not @t16) @t17)))
% 0.37/0.56  (step @p94 :rule equiv_elim1 :premises (@p39))
% 0.37/0.56  (step @p95 :rule eq_resolve :premises (@p94 @p93))
% 0.37/0.56  (step @p96 :rule not_or_elim :premises (@p87) :args (0))
% 0.37/0.56  (step @p97 :rule not_not_elim :premises (@p96))
% 0.37/0.56  (step @p98 :rule bool-double-not-elim :args (@t30))
% 0.37/0.56  (step @p99 :rule refl :args (@t31))
% 0.37/0.56  (step @p100 :rule refl :args (@t32))
% 0.37/0.56  (step @p101 :rule refl :args (@t33))
% 0.37/0.56  (step @p102 :rule nary_cong :premises (@p101 @p100 @p99 @p98) :args ((or @t33 @t32 @t31 @t35)))
% 0.37/0.56  (assume-push @p454 @t23)
% 0.37/0.56  (assume-push @p455 @t17)
% 0.37/0.56  (assume-push @p456 @t29)
% 0.37/0.56  (assume-push @p457 @t34)
% 0.37/0.56  (step @p107 :rule evaluate :args (@t36))
% 0.37/0.56  (step @p108 :rule true_intro :premises (@p97))
% 0.37/0.56  (step @p109 :rule true_intro :premises (@p455))
% 0.37/0.56  (step @p110 :rule symm :premises (@p109))
% 0.37/0.56  (step @p111 :rule true_intro :premises (@p456))
% 0.37/0.56  (step @p112 :rule trans :premises (@p111 @p110))
% 0.37/0.56  (step @p113 :rule cong :premises (@p112) :args (@t30))
% 0.37/0.56  (step @p114 :rule false_intro :premises (@p457))
% 0.37/0.56  (step @p115 :rule symm :premises (@p114))
% 0.37/0.56  (step @p116 :rule trans :premises (@p115 @p113 @p108))
% 0.37/0.56  (step @p117 false :rule eq_resolve :premises (@p116 @p107))
% 0.37/0.56  (step-pop @p458 :rule scope :premises (@p117))
% 0.37/0.56  (step-pop @p459 :rule scope :premises (@p458))
% 0.37/0.56  (step-pop @p460 :rule scope :premises (@p459))
% 0.37/0.56  (step-pop @p461 :rule scope :premises (@p460))
% 0.37/0.56  (step @p118 :rule process_scope :premises (@p461) :args (false))
% 0.37/0.56  (assume-push @p462 @t17)
% 0.37/0.56  (assume-push @p463 @t23)
% 0.37/0.56  (assume-push @p464 @t29)
% 0.37/0.56  (assume-push @p465 @t34)
% 0.37/0.56  (step @p127 :rule and_intro :premises (@p97 @p462 @p464 @p465))
% 0.37/0.56  (step-pop @p466 :rule scope :premises (@p127))
% 0.37/0.56  (step-pop @p467 :rule scope :premises (@p466))
% 0.37/0.56  (step-pop @p468 :rule scope :premises (@p467))
% 0.37/0.56  (step-pop @p469 :rule scope :premises (@p468))
% 0.37/0.56  (step @p128 :rule process_scope :premises (@p469) :args (@t37))
% 0.37/0.56  (step @p133 :rule implies_elim :premises (@p128))
% 0.37/0.56  (step @p134 :rule resolution :premises (@p133 @p118) :args (true @t37))
% 0.37/0.56  (step @p135 :rule not_and :premises (@p134))
% 0.37/0.56  (step @p136 :rule eq_resolve :premises (@p135 @p102))
% 0.37/0.56  (step @p137 :rule reordering :premises (@p136) :args ((or @t32 @t33 @t30 @t31)))
% 0.37/0.56  (step @p138 :rule not_or_elim :premises (@p87) :args (1))
% 0.37/0.56  (step @p139 :rule not_not_elim :premises (@p138))
% 0.37/0.56  (step @p140 :rule bool-double-not-elim :args (@t29))
% 0.37/0.56  (step @p141 :rule bool-double-not-elim :args (@t13))
% 0.37/0.56  (step @p142 :rule refl :args (@t38))
% 0.37/0.56  (step @p143 :rule nary_cong :premises (@p142 @p141 @p98 @p140) :args ((or @t38 @t41 @t35 @t39)))
% 0.37/0.56  (assume-push @p470 @t21)
% 0.37/0.56  (assume-push @p471 @t40)
% 0.37/0.56  (assume-push @p472 @t31)
% 0.37/0.56  (assume-push @p473 @t34)
% 0.37/0.56  (step @p107 :rule evaluate :args (@t36))
% 0.37/0.56  (step @p148 :rule true_intro :premises (@p139))
% 0.37/0.56  (step @p149 :rule false_intro :premises (@p471))
% 0.37/0.56  (step @p150 :rule symm :premises (@p149))
% 0.37/0.56  (step @p151 :rule false_intro :premises (@p472))
% 0.37/0.56  (step @p152 :rule trans :premises (@p151 @p150))
% 0.37/0.56  (step @p153 :rule cong :premises (@p152) :args (@t30))
% 0.37/0.56  (step @p154 :rule false_intro :premises (@p473))
% 0.37/0.56  (step @p155 :rule symm :premises (@p154))
% 0.37/0.56  (step @p156 :rule trans :premises (@p155 @p153 @p148))
% 0.37/0.56  (step @p157 false :rule eq_resolve :premises (@p156 @p107))
% 0.37/0.56  (step-pop @p474 :rule scope :premises (@p157))
% 0.37/0.56  (step-pop @p475 :rule scope :premises (@p474))
% 0.37/0.56  (step-pop @p476 :rule scope :premises (@p475))
% 0.37/0.56  (step-pop @p477 :rule scope :premises (@p476))
% 0.37/0.56  (step @p158 :rule process_scope :premises (@p477) :args (false))
% 0.37/0.56  (assume-push @p478 @t21)
% 0.37/0.56  (assume-push @p479 @t40)
% 0.37/0.56  (assume-push @p480 @t34)
% 0.37/0.56  (assume-push @p481 @t31)
% 0.37/0.56  (step @p167 :rule and_intro :premises (@p139 @p479 @p481 @p480))
% 0.37/0.56  (step-pop @p482 :rule scope :premises (@p167))
% 0.37/0.56  (step-pop @p483 :rule scope :premises (@p482))
% 0.37/0.56  (step-pop @p484 :rule scope :premises (@p483))
% 0.37/0.56  (step-pop @p485 :rule scope :premises (@p484))
% 0.37/0.56  (step @p168 :rule process_scope :premises (@p485) :args (@t42))
% 0.37/0.56  (step @p173 :rule implies_elim :premises (@p168))
% 0.37/0.56  (step @p174 :rule resolution :premises (@p173 @p158) :args (true @t42))
% 0.37/0.56  (step @p175 :rule not_and :premises (@p174))
% 0.37/0.56  (step @p176 :rule eq_resolve :premises (@p175 @p143))
% 0.37/0.56  (step @p177 :rule reordering :premises (@p176) :args ((or @t13 @t38 @t29 @t30)))
% 0.37/0.56  (step @p178 :rule chain_m_resolution :premises (@p177 @p139 @p137 @p97) :args ((or @t13 @t33 @t30) (@list false true false) (@list @t21 @t29 @t23)))
% 0.37/0.56  (step @p179 :rule not_or_elim :premises (@p87) :args (4))
% 0.37/0.56  (step @p180 :rule not_not_elim :premises (@p179))
% 0.37/0.56  (step @p181 :rule not_or_elim :premises (@p87) :args (5))
% 0.37/0.56  (step @p182 :rule refl :args (@t44))
% 0.37/0.56  (step @p183 :rule bool-double-not-elim :args (@t11))
% 0.37/0.56  (step @p184 :rule refl :args (@t45))
% 0.37/0.56  (step @p185 :rule nary_cong :premises (@p184 @p183 @p182) :args ((or @t45 (not @t46) @t44)))
% 0.37/0.56  (assume-push @p486 @t12)
% 0.37/0.56  (assume-push @p487 @t43)
% 0.37/0.56  (assume-push @p488 @t46)
% 0.37/0.56  (step @p107 :rule evaluate :args (@t36))
% 0.37/0.56  (step @p189 :rule true_intro :premises (@p180))
% 0.37/0.56  (step @p190 :rule symm :premises (@p487))
% 0.37/0.56  (step @p191 :rule cong :premises (@p190) :args (@t11))
% 0.37/0.56  (step @p192 :rule false_intro :premises (@p181))
% 0.37/0.56  (step @p193 :rule symm :premises (@p192))
% 0.37/0.56  (step @p194 :rule trans :premises (@p193 @p191 @p189))
% 0.37/0.56  (step @p195 false :rule eq_resolve :premises (@p194 @p107))
% 0.37/0.56  (step-pop @p489 :rule scope :premises (@p195))
% 0.37/0.56  (step-pop @p490 :rule scope :premises (@p489))
% 0.37/0.56  (step-pop @p491 :rule scope :premises (@p490))
% 0.37/0.56  (step @p196 :rule process_scope :premises (@p491) :args (false))
% 0.37/0.56  (assume-push @p492 @t12)
% 0.37/0.56  (assume-push @p493 @t46)
% 0.37/0.56  (assume-push @p494 @t43)
% 0.37/0.56  (step @p203 :rule and_intro :premises (@p180 @p494 @p181))
% 0.37/0.56  (step-pop @p495 :rule scope :premises (@p203))
% 0.37/0.56  (step-pop @p496 :rule scope :premises (@p495))
% 0.37/0.56  (step-pop @p497 :rule scope :premises (@p496))
% 0.37/0.56  (step @p204 :rule process_scope :premises (@p497) :args (@t47))
% 0.37/0.56  (step @p208 :rule implies_elim :premises (@p204))
% 0.37/0.56  (step @p209 :rule resolution :premises (@p208 @p196) :args (true @t47))
% 0.37/0.56  (step @p210 :rule not_and :premises (@p209))
% 0.37/0.56  (step @p211 :rule eq_resolve :premises (@p210 @p185))
% 0.37/0.56  (step @p212 :rule reordering :premises (@p211) :args ((or @t11 @t45 @t44)))
% 0.37/0.56  (step @p213 :rule chain_m_resolution :premises (@p212 @p181 @p180) :args (@t44 @t48 (@list @t11 @t12)))
% 0.37/0.56  (step @p214 :rule eq-symm :args (@t30 @t49))
% 0.37/0.56  (step @p215 :rule eq-refl :args (@t28))
% 0.37/0.56  (step @p216 :rule skolem_intro :args (@t29))
% 0.37/0.56  (step @p217 :rule refl :args (@t28))
% 0.37/0.56  (step @p218 :rule cong :premises (@p217 @p216) :args ((= @t28 @t29)))
% 0.37/0.56  (step @p219 :rule trans :premises (@p218 @p215))
% 0.37/0.56  (step @p220 :rule true_elim :premises (@p219))
% 0.37/0.56  (step @p221 :rule cong :premises (@p220) :args (@t50))
% 0.37/0.56  (step @p222 :rule cong :premises (@p220) :args (@t51))
% 0.37/0.56  (step @p223 :rule cong :premises (@p222 @p221) :args (@t52))
% 0.37/0.56  (step @p224 :rule trans :premises (@p223 @p214))
% 0.37/0.56  (step @p225 :rule cong :premises (@p224) :args (@t53))
% 0.37/0.56  (step @p226 :rule refl :args (@t43))
% 0.37/0.56  (step @p227 :rule nary_cong :premises (@p226 @p225) :args (@t54))
% 0.37/0.56  ; WARNING: add trust step for TRUST
% 0.37/0.56  ; trust TRUST THEORY_LEMMA
% 0.37/0.56  (step @p228 :rule trust :premises () :args (@t54))
% 0.37/0.56  (step @p229 :rule eq_resolve :premises (@p228 @p227))
% 0.37/0.56  (step @p230 :rule chain_m_resolution :premises (@p229 @p213) :args ((not @t55) (@list true) (@list @t43)))
% 0.37/0.56  (step @p231 :rule cnf_equiv_neg2 :args (@t55))
% 0.37/0.56  (step @p232 :rule bool-double-not-elim :args (@t49))
% 0.37/0.56  (step @p233 :rule refl :args (@t56))
% 0.37/0.56  (step @p234 :rule nary_cong :premises (@p101 @p233 @p99 @p232) :args ((or @t33 @t56 @t31 @t58)))
% 0.37/0.56  (assume-push @p498 @t18)
% 0.37/0.56  (assume-push @p499 @t17)
% 0.37/0.56  (assume-push @p500 @t29)
% 0.37/0.56  (assume-push @p501 @t57)
% 0.37/0.56  (step @p107 :rule evaluate :args (@t36))
% 0.37/0.56  (step @p239 :rule true_intro :premises (@p89))
% 0.37/0.56  (step @p240 :rule true_intro :premises (@p499))
% 0.37/0.56  (step @p241 :rule symm :premises (@p240))
% 0.37/0.56  (step @p242 :rule true_intro :premises (@p500))
% 0.37/0.56  (step @p243 :rule trans :premises (@p242 @p241))
% 0.37/0.56  (step @p244 :rule cong :premises (@p243) :args (@t49))
% 0.37/0.56  (step @p245 :rule false_intro :premises (@p501))
% 0.37/0.56  (step @p246 :rule symm :premises (@p245))
% 0.37/0.56  (step @p247 :rule trans :premises (@p246 @p244 @p239))
% 0.37/0.56  (step @p248 false :rule eq_resolve :premises (@p247 @p107))
% 0.37/0.56  (step-pop @p502 :rule scope :premises (@p248))
% 0.37/0.56  (step-pop @p503 :rule scope :premises (@p502))
% 0.37/0.56  (step-pop @p504 :rule scope :premises (@p503))
% 0.37/0.56  (step-pop @p505 :rule scope :premises (@p504))
% 0.37/0.56  (step @p249 :rule process_scope :premises (@p505) :args (false))
% 0.37/0.56  (assume-push @p506 @t17)
% 0.37/0.56  (assume-push @p507 @t18)
% 0.37/0.56  (assume-push @p508 @t29)
% 0.37/0.56  (assume-push @p509 @t57)
% 0.37/0.56  (step @p258 :rule and_intro :premises (@p89 @p506 @p508 @p509))
% 0.37/0.56  (step-pop @p510 :rule scope :premises (@p258))
% 0.37/0.56  (step-pop @p511 :rule scope :premises (@p510))
% 0.37/0.56  (step-pop @p512 :rule scope :premises (@p511))
% 0.37/0.56  (step-pop @p513 :rule scope :premises (@p512))
% 0.37/0.56  (step @p259 :rule process_scope :premises (@p513) :args (@t59))
% 0.37/0.56  (step @p264 :rule implies_elim :premises (@p259))
% 0.37/0.56  (step @p265 :rule resolution :premises (@p264 @p249) :args (true @t59))
% 0.37/0.56  (step @p266 :rule not_and :premises (@p265))
% 0.37/0.56  (step @p267 :rule eq_resolve :premises (@p266 @p234))
% 0.37/0.56  (step @p268 :rule reordering :premises (@p267) :args ((or @t56 @t33 @t49 @t31)))
% 0.37/0.56  (step @p269 :rule not_or_elim :premises (@p87) :args (3))
% 0.37/0.56  (step @p270 :rule not_not_elim :premises (@p269))
% 0.37/0.56  (step @p271 :rule refl :args (@t60))
% 0.37/0.56  (step @p272 :rule nary_cong :premises (@p271 @p141 @p232 @p140) :args ((or @t60 @t41 @t58 @t39)))
% 0.37/0.56  (assume-push @p514 @t14)
% 0.37/0.56  (assume-push @p515 @t40)
% 0.37/0.56  (assume-push @p516 @t31)
% 0.37/0.56  (assume-push @p517 @t57)
% 0.37/0.56  (step @p107 :rule evaluate :args (@t36))
% 0.37/0.56  (step @p277 :rule true_intro :premises (@p270))
% 0.37/0.56  (step @p278 :rule false_intro :premises (@p515))
% 0.37/0.56  (step @p279 :rule symm :premises (@p278))
% 0.37/0.56  (step @p280 :rule false_intro :premises (@p516))
% 0.37/0.56  (step @p281 :rule trans :premises (@p280 @p279))
% 0.37/0.56  (step @p282 :rule cong :premises (@p281) :args (@t49))
% 0.37/0.56  (step @p283 :rule false_intro :premises (@p517))
% 0.37/0.56  (step @p284 :rule symm :premises (@p283))
% 0.37/0.56  (step @p285 :rule trans :premises (@p284 @p282 @p277))
% 0.37/0.56  (step @p286 false :rule eq_resolve :premises (@p285 @p107))
% 0.37/0.56  (step-pop @p518 :rule scope :premises (@p286))
% 0.37/0.56  (step-pop @p519 :rule scope :premises (@p518))
% 0.37/0.56  (step-pop @p520 :rule scope :premises (@p519))
% 0.37/0.56  (step-pop @p521 :rule scope :premises (@p520))
% 0.37/0.56  (step @p287 :rule process_scope :premises (@p521) :args (false))
% 0.37/0.56  (assume-push @p522 @t14)
% 0.37/0.56  (assume-push @p523 @t40)
% 0.37/0.56  (assume-push @p524 @t57)
% 0.37/0.56  (assume-push @p525 @t31)
% 0.37/0.56  (step @p296 :rule and_intro :premises (@p270 @p523 @p525 @p524))
% 0.37/0.56  (step-pop @p526 :rule scope :premises (@p296))
% 0.37/0.56  (step-pop @p527 :rule scope :premises (@p526))
% 0.37/0.56  (step-pop @p528 :rule scope :premises (@p527))
% 0.37/0.56  (step-pop @p529 :rule scope :premises (@p528))
% 0.37/0.56  (step @p297 :rule process_scope :premises (@p529) :args (@t61))
% 0.37/0.56  (step @p302 :rule implies_elim :premises (@p297))
% 0.37/0.56  (step @p303 :rule resolution :premises (@p302 @p287) :args (true @t61))
% 0.37/0.56  (step @p304 :rule not_and :premises (@p303))
% 0.37/0.56  (step @p305 :rule eq_resolve :premises (@p304 @p272))
% 0.37/0.56  (step @p306 :rule reordering :premises (@p305) :args ((or @t13 @t60 @t29 @t49)))
% 0.37/0.56  (step @p307 :rule chain_m_resolution :premises (@p306 @p270 @p268 @p89 @p231 @p230 @p178 @p95 @p90) :args (tptp.b (@list false true false true true false false true) (@list @t14 @t29 @t18 @t49 @t55 @t30 @t17 @t13)))
% 0.37/0.56  (step @p308 :rule equiv_elim2 :premises (@p39))
% 0.37/0.56  (step @p309 :rule chain_m_resolution :premises (@p308 @p307) :args (@t33 @t62 @t63))
% 0.37/0.56  (step @p310 :rule equiv_elim1 :premises (@p24))
% 0.37/0.56  (step @p311 :rule chain_m_resolution :premises (@p310 @p307) :args (@t13 @t62 @t63))
% 0.37/0.56  (step @p312 :rule refl :args (@t40))
% 0.37/0.56  (step @p313 :rule nary_cong :premises (@p312 @p142 @p99 @p98) :args ((or @t40 @t38 @t31 @t35)))
% 0.37/0.56  (assume-push @p530 @t21)
% 0.37/0.56  (assume-push @p531 @t13)
% 0.37/0.56  (assume-push @p532 @t29)
% 0.37/0.56  (assume-push @p533 @t34)
% 0.37/0.56  (step @p107 :rule evaluate :args (@t36))
% 0.37/0.56  (step @p148 :rule true_intro :premises (@p139))
% 0.37/0.56  (step @p318 :rule true_intro :premises (@p531))
% 0.37/0.56  (step @p319 :rule symm :premises (@p318))
% 0.37/0.56  (step @p320 :rule true_intro :premises (@p532))
% 0.37/0.56  (step @p321 :rule trans :premises (@p320 @p319))
% 0.37/0.56  (step @p322 :rule cong :premises (@p321) :args (@t30))
% 0.37/0.56  (step @p323 :rule false_intro :premises (@p533))
% 0.37/0.56  (step @p324 :rule symm :premises (@p323))
% 0.37/0.56  (step @p325 :rule trans :premises (@p324 @p322 @p148))
% 0.37/0.56  (step @p326 false :rule eq_resolve :premises (@p325 @p107))
% 0.37/0.56  (step-pop @p534 :rule scope :premises (@p326))
% 0.37/0.56  (step-pop @p535 :rule scope :premises (@p534))
% 0.37/0.56  (step-pop @p536 :rule scope :premises (@p535))
% 0.37/0.56  (step-pop @p537 :rule scope :premises (@p536))
% 0.37/0.56  (step @p327 :rule process_scope :premises (@p537) :args (false))
% 0.37/0.56  (assume-push @p538 @t13)
% 0.37/0.56  (assume-push @p539 @t21)
% 0.37/0.56  (assume-push @p540 @t29)
% 0.37/0.56  (assume-push @p541 @t34)
% 0.37/0.56  (step @p336 :rule and_intro :premises (@p139 @p538 @p540 @p541))
% 0.37/0.56  (step-pop @p542 :rule scope :premises (@p336))
% 0.37/0.56  (step-pop @p543 :rule scope :premises (@p542))
% 0.37/0.56  (step-pop @p544 :rule scope :premises (@p543))
% 0.37/0.56  (step-pop @p545 :rule scope :premises (@p544))
% 0.37/0.56  (step @p337 :rule process_scope :premises (@p545) :args (@t64))
% 0.37/0.56  (step @p342 :rule implies_elim :premises (@p337))
% 0.37/0.56  (step @p343 :rule resolution :premises (@p342 @p327) :args (true @t64))
% 0.37/0.56  (step @p344 :rule not_and :premises (@p343))
% 0.37/0.56  (step @p345 :rule eq_resolve :premises (@p344 @p313))
% 0.37/0.56  (step @p346 :rule reordering :premises (@p345) :args ((or @t38 @t40 @t30 @t31)))
% 0.37/0.56  (step @p347 :rule bool-double-not-elim :args (@t17))
% 0.37/0.56  (step @p348 :rule nary_cong :premises (@p100 @p347 @p98 @p140) :args ((or @t32 @t65 @t35 @t39)))
% 0.37/0.56  (assume-push @p546 @t23)
% 0.37/0.56  (assume-push @p547 @t33)
% 0.37/0.56  (assume-push @p548 @t31)
% 0.37/0.56  (assume-push @p549 @t34)
% 0.37/0.56  (step @p107 :rule evaluate :args (@t36))
% 0.37/0.56  (step @p108 :rule true_intro :premises (@p97))
% 0.37/0.56  (step @p353 :rule false_intro :premises (@p547))
% 0.37/0.56  (step @p354 :rule symm :premises (@p353))
% 0.37/0.56  (step @p355 :rule false_intro :premises (@p548))
% 0.37/0.56  (step @p356 :rule trans :premises (@p355 @p354))
% 0.37/0.56  (step @p357 :rule cong :premises (@p356) :args (@t30))
% 0.37/0.56  (step @p358 :rule false_intro :premises (@p549))
% 0.37/0.56  (step @p359 :rule symm :premises (@p358))
% 0.37/0.56  (step @p360 :rule trans :premises (@p359 @p357 @p108))
% 0.37/0.56  (step @p361 false :rule eq_resolve :premises (@p360 @p107))
% 0.37/0.56  (step-pop @p550 :rule scope :premises (@p361))
% 0.37/0.56  (step-pop @p551 :rule scope :premises (@p550))
% 0.37/0.56  (step-pop @p552 :rule scope :premises (@p551))
% 0.37/0.56  (step-pop @p553 :rule scope :premises (@p552))
% 0.37/0.56  (step @p362 :rule process_scope :premises (@p553) :args (false))
% 0.37/0.56  (assume-push @p554 @t23)
% 0.37/0.56  (assume-push @p555 @t33)
% 0.37/0.56  (assume-push @p556 @t34)
% 0.37/0.56  (assume-push @p557 @t31)
% 0.37/0.56  (step @p371 :rule and_intro :premises (@p97 @p555 @p557 @p556))
% 0.37/0.56  (step-pop @p558 :rule scope :premises (@p371))
% 0.37/0.56  (step-pop @p559 :rule scope :premises (@p558))
% 0.37/0.56  (step-pop @p560 :rule scope :premises (@p559))
% 0.37/0.56  (step-pop @p561 :rule scope :premises (@p560))
% 0.37/0.56  (step @p372 :rule process_scope :premises (@p561) :args (@t66))
% 0.37/0.56  (step @p377 :rule implies_elim :premises (@p372))
% 0.37/0.56  (step @p378 :rule resolution :premises (@p377 @p362) :args (true @t66))
% 0.37/0.56  (step @p379 :rule not_and :premises (@p378))
% 0.37/0.56  (step @p380 :rule eq_resolve :premises (@p379 @p348))
% 0.37/0.56  (step @p381 :rule reordering :premises (@p380) :args ((or @t17 @t32 @t29 @t30)))
% 0.37/0.56  (step @p382 :rule chain_m_resolution :premises (@p381 @p309 @p97 @p346 @p311 @p139) :args (@t30 (@list true false true false false) (@list @t17 @t23 @t29 @t13 @t21)))
% 0.37/0.56  (step @p383 :rule chain_m_resolution :premises (@p231 @p230 @p382) :args (@t57 @t48 (@list @t55 @t30)))
% 0.37/0.56  (step @p384 :rule nary_cong :premises (@p312 @p271 @p99 @p232) :args ((or @t40 @t60 @t31 @t58)))
% 0.37/0.56  (assume-push @p562 @t14)
% 0.37/0.56  (assume-push @p563 @t13)
% 0.37/0.56  (assume-push @p564 @t29)
% 0.37/0.56  (assume-push @p565 @t57)
% 0.37/0.56  (step @p107 :rule evaluate :args (@t36))
% 0.37/0.56  (step @p277 :rule true_intro :premises (@p270))
% 0.37/0.56  (step @p389 :rule true_intro :premises (@p563))
% 0.37/0.56  (step @p390 :rule symm :premises (@p389))
% 0.37/0.56  (step @p391 :rule true_intro :premises (@p564))
% 0.37/0.56  (step @p392 :rule trans :premises (@p391 @p390))
% 0.37/0.56  (step @p393 :rule cong :premises (@p392) :args (@t49))
% 0.37/0.56  (step @p394 :rule false_intro :premises (@p565))
% 0.37/0.56  (step @p395 :rule symm :premises (@p394))
% 0.37/0.56  (step @p396 :rule trans :premises (@p395 @p393 @p277))
% 0.37/0.56  (step @p397 false :rule eq_resolve :premises (@p396 @p107))
% 0.37/0.56  (step-pop @p566 :rule scope :premises (@p397))
% 0.37/0.56  (step-pop @p567 :rule scope :premises (@p566))
% 0.37/0.56  (step-pop @p568 :rule scope :premises (@p567))
% 0.37/0.56  (step-pop @p569 :rule scope :premises (@p568))
% 0.37/0.56  (step @p398 :rule process_scope :premises (@p569) :args (false))
% 0.37/0.56  (assume-push @p570 @t13)
% 0.37/0.56  (assume-push @p571 @t14)
% 0.37/0.56  (assume-push @p572 @t29)
% 0.37/0.56  (assume-push @p573 @t57)
% 0.37/0.56  (step @p407 :rule and_intro :premises (@p270 @p570 @p572 @p573))
% 0.37/0.56  (step-pop @p574 :rule scope :premises (@p407))
% 0.37/0.56  (step-pop @p575 :rule scope :premises (@p574))
% 0.37/0.56  (step-pop @p576 :rule scope :premises (@p575))
% 0.37/0.56  (step-pop @p577 :rule scope :premises (@p576))
% 0.37/0.56  (step @p408 :rule process_scope :premises (@p577) :args (@t67))
% 0.37/0.56  (step @p413 :rule implies_elim :premises (@p408))
% 0.37/0.56  (step @p414 :rule resolution :premises (@p413 @p398) :args (true @t67))
% 0.37/0.56  (step @p415 :rule not_and :premises (@p414))
% 0.37/0.56  (step @p416 :rule eq_resolve :premises (@p415 @p384))
% 0.37/0.56  (step @p417 :rule reordering :premises (@p416) :args ((or @t60 @t40 @t49 @t31)))
% 0.37/0.56  (step @p418 :rule chain_m_resolution :premises (@p417 @p270 @p311 @p383) :args (@t31 (@list false false true) (@list @t14 @t13 @t49)))
% 0.37/0.56  (step @p419 :rule nary_cong :premises (@p233 @p347 @p232 @p140) :args ((or @t56 @t65 @t58 @t39)))
% 0.37/0.56  (assume-push @p578 @t18)
% 0.37/0.56  (assume-push @p579 @t33)
% 0.37/0.56  (assume-push @p580 @t31)
% 0.37/0.56  (assume-push @p581 @t57)
% 0.37/0.56  (step @p107 :rule evaluate :args (@t36))
% 0.37/0.56  (step @p239 :rule true_intro :premises (@p89))
% 0.37/0.56  (step @p424 :rule false_intro :premises (@p579))
% 0.37/0.56  (step @p425 :rule symm :premises (@p424))
% 0.37/0.56  (step @p426 :rule false_intro :premises (@p580))
% 0.37/0.56  (step @p427 :rule trans :premises (@p426 @p425))
% 0.37/0.56  (step @p428 :rule cong :premises (@p427) :args (@t49))
% 0.37/0.56  (step @p429 :rule false_intro :premises (@p581))
% 0.37/0.56  (step @p430 :rule symm :premises (@p429))
% 0.37/0.56  (step @p431 :rule trans :premises (@p430 @p428 @p239))
% 0.37/0.56  (step @p432 false :rule eq_resolve :premises (@p431 @p107))
% 0.37/0.56  (step-pop @p582 :rule scope :premises (@p432))
% 0.37/0.56  (step-pop @p583 :rule scope :premises (@p582))
% 0.37/0.56  (step-pop @p584 :rule scope :premises (@p583))
% 0.37/0.56  (step-pop @p585 :rule scope :premises (@p584))
% 0.37/0.56  (step @p433 :rule process_scope :premises (@p585) :args (false))
% 0.37/0.56  (assume-push @p586 @t18)
% 0.37/0.56  (assume-push @p587 @t33)
% 0.37/0.56  (assume-push @p588 @t57)
% 0.37/0.56  (assume-push @p589 @t31)
% 0.37/0.56  (step @p442 :rule and_intro :premises (@p89 @p587 @p589 @p588))
% 0.37/0.56  (step-pop @p590 :rule scope :premises (@p442))
% 0.37/0.56  (step-pop @p591 :rule scope :premises (@p590))
% 0.37/0.56  (step-pop @p592 :rule scope :premises (@p591))
% 0.37/0.56  (step-pop @p593 :rule scope :premises (@p592))
% 0.37/0.56  (step @p443 :rule process_scope :premises (@p593) :args (@t68))
% 0.37/0.56  (step @p448 :rule implies_elim :premises (@p443))
% 0.37/0.56  (step @p449 :rule resolution :premises (@p448 @p433) :args (true @t68))
% 0.37/0.56  (step @p450 :rule not_and :premises (@p449))
% 0.37/0.56  (step @p451 :rule eq_resolve :premises (@p450 @p419))
% 0.37/0.56  (step @p452 :rule reordering :premises (@p451) :args ((or @t17 @t56 @t29 @t49)))
% 0.37/0.56  (step @p453 false :rule chain_m_resolution :premises (@p452 @p418 @p383 @p309 @p89) :args (false (@list true true true false) (@list @t29 @t49 @t17 @t18)))
% 0.37/0.56  )
% 0.37/0.56  % SZS output end Proof
% 0.37/0.56  % cvc5 exiting
%------------------------------------------------------------------------------