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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO366^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 09:12:30 AM UTC 2026

% Result   : Theorem 0.26s 0.54s
% Output   : Proof 0.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO366^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n017.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 : Wed Jun  3 00:04:31 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.26/0.49  %----Proving TH0
% 0.26/0.54  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.26/0.54  % SZS status Theorem
% 0.26/0.54  % SZS output start Proof
% 0.26/0.54  (
% 0.26/0.54  (declare-const tptp.cA Bool)
% 0.26/0.54  (declare-const tptp.cP (-> Bool Bool))
% 0.26/0.54  (define @t1 () (=> tptp.cA tptp.cA))
% 0.26/0.54  (define @t2 () (=> (_ tptp.cP @t1) (_ tptp.cP true)))
% 0.26/0.54  (define @t3 () (not @t2))
% 0.26/0.54  (define @t4 () (@purify true))
% 0.26/0.54  (define @t5 () (tptp.cP @t4))
% 0.26/0.54  (define @t6 () (_ tptp.cP @t4))
% 0.26/0.54  (define @t7 () (@purify @t1))
% 0.26/0.54  (define @t8 () (tptp.cP @t7))
% 0.26/0.54  (define @t9 () (_ tptp.cP @t7))
% 0.26/0.54  (define @t10 () (not @t8))
% 0.26/0.54  (define @t11 () (not @t7))
% 0.26/0.54  (define @t12 () (not @t4))
% 0.26/0.54  (define @t13 () (not @t5))
% 0.26/0.54  (define @t14 () (and @t13 @t4 @t7 @t8))
% 0.26/0.54  (define @t15 () (not @t1))
% 0.26/0.54  (define @t16 () (@list true))
% 0.26/0.54  (assume @p1 @t3)
% 0.26/0.54  (assume @p2 true)
% 0.26/0.54  (step @p3 :rule bool-eq-true :args (@t4))
% 0.26/0.54  (step @p4 :rule skolem_intro :args (@t4))
% 0.26/0.54  (step @p5 :rule eq_resolve :premises (@p4 @p3))
% 0.26/0.54  (step @p6 :rule refl :args (@t5))
% 0.26/0.54  (step @p7 :rule refl :args (@t6))
% 0.26/0.54  (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t6 @t5)))
% 0.26/0.54  (step @p9 :rule symm :premises (@p8))
% 0.26/0.54  (step @p10 :rule eq_resolve :premises (@p7 @p9))
% 0.26/0.54  (step @p11 :rule symm :premises (@p4))
% 0.26/0.54  (step @p12 :rule refl :args (tptp.cP))
% 0.26/0.54  (step @p13 :rule ho_cong :premises (@p12 @p11))
% 0.26/0.54  (step @p14 :rule trans :premises (@p13 @p10))
% 0.26/0.54  (step @p15 :rule refl :args (@t8))
% 0.26/0.54  (step @p16 :rule refl :args (@t9))
% 0.26/0.54  (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t9 @t8)))
% 0.26/0.54  (step @p18 :rule symm :premises (@p17))
% 0.26/0.54  (step @p19 :rule eq_resolve :premises (@p16 @p18))
% 0.26/0.54  (step @p20 :rule eq-refl :args (@t1))
% 0.26/0.54  (step @p21 :rule skolem_intro :args (@t7))
% 0.26/0.54  (step @p22 :rule refl :args (@t1))
% 0.26/0.54  (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t1 @t7)))
% 0.26/0.54  (step @p24 :rule trans :premises (@p23 @p20))
% 0.26/0.54  (step @p25 :rule true_elim :premises (@p24))
% 0.26/0.54  (step @p26 :rule ho_cong :premises (@p12 @p25))
% 0.26/0.54  (step @p27 :rule trans :premises (@p26 @p19))
% 0.26/0.54  (step @p28 :rule cong :premises (@p27 @p14) :args (@t2))
% 0.26/0.54  (step @p29 :rule cong :premises (@p28) :args (@t3))
% 0.26/0.54  (step @p30 :rule eq_resolve :premises (@p1 @p29))
% 0.26/0.54  (step @p31 :rule not_implies_elim1 :premises (@p30))
% 0.26/0.54  (step @p32 :rule not_implies_elim2 :premises (@p30))
% 0.26/0.54  (step @p33 :rule bool-double-not-elim :args (@t5))
% 0.26/0.54  (step @p34 :rule refl :args (@t10))
% 0.26/0.54  (step @p35 :rule refl :args (@t11))
% 0.26/0.54  (step @p36 :rule refl :args (@t12))
% 0.26/0.54  (step @p37 :rule nary_cong :premises (@p36 @p35 @p34 @p33) :args ((or @t12 @t11 @t10 (not @t13))))
% 0.26/0.54  (assume-push @p80 @t13)
% 0.26/0.54  (assume-push @p81 @t4)
% 0.26/0.54  (assume-push @p82 @t7)
% 0.26/0.54  (assume-push @p83 @t8)
% 0.26/0.54  (step @p42 :rule evaluate :args ((= true false)))
% 0.26/0.54  (step @p43 :rule false_intro :premises (@p32))
% 0.26/0.54  (step @p44 :rule true_intro :premises (@p82))
% 0.26/0.54  (step @p45 :rule trans :premises (@p44 @p11))
% 0.26/0.54  (step @p46 :rule cong :premises (@p45) :args (@t8))
% 0.26/0.54  (step @p47 :rule true_intro :premises (@p31))
% 0.26/0.54  (step @p48 :rule symm :premises (@p47))
% 0.26/0.54  (step @p49 :rule trans :premises (@p48 @p46 @p43))
% 0.26/0.54  (step @p50 false :rule eq_resolve :premises (@p49 @p42))
% 0.26/0.54  (step-pop @p84 :rule scope :premises (@p50))
% 0.26/0.54  (step-pop @p85 :rule scope :premises (@p84))
% 0.26/0.54  (step-pop @p86 :rule scope :premises (@p85))
% 0.26/0.54  (step-pop @p87 :rule scope :premises (@p86))
% 0.26/0.54  (step @p51 :rule process_scope :premises (@p87) :args (false))
% 0.26/0.54  (assume-push @p88 @t4)
% 0.26/0.54  (assume-push @p89 @t7)
% 0.26/0.54  (assume-push @p90 @t8)
% 0.26/0.54  (assume-push @p91 @t13)
% 0.26/0.54  (step @p60 :rule and_intro :premises (@p32 @p5 @p89 @p31))
% 0.26/0.54  (step-pop @p92 :rule scope :premises (@p60))
% 0.26/0.54  (step-pop @p93 :rule scope :premises (@p92))
% 0.26/0.54  (step-pop @p94 :rule scope :premises (@p93))
% 0.26/0.54  (step-pop @p95 :rule scope :premises (@p94))
% 0.26/0.54  (step @p61 :rule process_scope :premises (@p95) :args (@t14))
% 0.26/0.54  (step @p66 :rule implies_elim :premises (@p61))
% 0.26/0.54  (step @p67 :rule resolution :premises (@p66 @p51) :args (true @t14))
% 0.26/0.54  (step @p68 :rule not_and :premises (@p67))
% 0.26/0.54  (step @p69 :rule eq_resolve :premises (@p68 @p37))
% 0.26/0.54  (step @p70 :rule reordering :premises (@p69) :args ((or @t5 @t10 @t12 @t11)))
% 0.26/0.54  (step @p71 :rule chain_m_resolution :premises (@p70 @p32 @p31 @p5) :args (@t11 (@list true false false) (@list @t5 @t8 @t4)))
% 0.26/0.54  (step @p72 :rule equiv_elim1 :premises (@p25))
% 0.26/0.54  (step @p73 :rule reordering :premises (@p72) :args ((or @t7 @t15)))
% 0.26/0.54  (step @p74 :rule chain_m_resolution :premises (@p73 @p71) :args (@t15 @t16 (@list @t7)))
% 0.26/0.54  (step @p75 :rule cnf_implies_neg1 :args (@t1))
% 0.26/0.54  (step @p76 :rule reordering :premises (@p75) :args ((or tptp.cA @t1)))
% 0.26/0.54  (step @p77 :rule chain_m_resolution :premises (@p76 @p74) :args (tptp.cA @t16 (@list @t1)))
% 0.26/0.54  (step @p78 :rule cnf_implies_neg2 :args (@t1))
% 0.26/0.54  (step @p79 false :rule chain_m_resolution :premises (@p78 @p77 @p74) :args (false (@list false true) (@list tptp.cA @t1)))
% 0.26/0.54  )
% 0.26/0.54  % SZS output end Proof
% 0.26/0.54  % cvc5 exiting
%------------------------------------------------------------------------------