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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET599^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 08:48:10 AM UTC 2026

% Result   : Theorem 0.39s 0.56s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SET599^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n002.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Tue Jun  2 16:04:18 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.28/0.50  %----Proving TH0
% 0.39/0.56  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.39/0.56  % SZS status Theorem
% 0.39/0.56  % SZS output start Proof
% 0.39/0.56  (
% 0.39/0.56  (declare-sort tptp.a 0)
% 0.39/0.56  (define @t1 () (@var "Xx" tptp.a))
% 0.39/0.56  (define @t2 () (@var "X" (-> tptp.a Bool)))
% 0.39/0.56  (define @t3 () (_ @t2 @t1))
% 0.39/0.56  (define @t4 () (not @t3))
% 0.39/0.56  (define @t5 () (@var "Y" (-> tptp.a Bool)))
% 0.39/0.56  (define @t6 () (_ @t5 @t1))
% 0.39/0.56  (define @t7 () (and @t6 @t4))
% 0.39/0.56  (define @t8 () (not @t6))
% 0.39/0.56  (define @t9 () (and @t3 @t8))
% 0.39/0.56  (define @t10 () (or @t9 @t7))
% 0.39/0.56  (define @t11 () (@list @t2 @t5 @t1))
% 0.39/0.56  (define @t12 () (forall @t11 (=> @t9 @t10)))
% 0.39/0.56  (define @t13 () (not @t12))
% 0.39/0.56  (define @t14 () (_ @t2 @t1))
% 0.39/0.56  (define @t15 () (_ @t5 @t1))
% 0.39/0.56  (define @t16 () (or @t4 @t6 @t9 @t7))
% 0.39/0.56  (define @t17 () (not @t14))
% 0.39/0.56  (define @t18 () (forall @t11 (or @t17 @t15 (and @t14 (not @t15)) (and @t15 @t17))))
% 0.39/0.56  (define @t19 () (@quantifiers_skolemize @t18 2))
% 0.39/0.56  (define @t20 () (_ (@quantifiers_skolemize @t18 0) @t19))
% 0.39/0.56  (define @t21 () (not @t20))
% 0.39/0.56  (define @t22 () (_ (@quantifiers_skolemize @t18 1) @t19))
% 0.39/0.56  (define @t23 () (not @t22))
% 0.39/0.56  (define @t24 () (and @t20 @t23))
% 0.39/0.56  (define @t25 () (or @t21 @t22 @t24 (and @t22 @t21)))
% 0.39/0.56  (define @t26 () (@list true))
% 0.39/0.56  (define @t27 () (@list @t25))
% 0.39/0.56  (assume @p1 @t13)
% 0.39/0.56  (assume @p2 true)
% 0.39/0.56  (step @p3 :rule refl :args (@t14))
% 0.39/0.56  (step @p4 :rule refl :args (@t3))
% 0.39/0.56  (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t14)))
% 0.39/0.56  (step @p6 :rule symm :premises (@p5))
% 0.39/0.56  (step @p7 :rule eq_resolve :premises (@p4 @p6))
% 0.39/0.56  (step @p8 :rule cong :premises (@p7) :args (@t4))
% 0.39/0.56  (step @p9 :rule refl :args (@t15))
% 0.39/0.56  (step @p10 :rule refl :args (@t6))
% 0.39/0.56  (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t6 @t15)))
% 0.39/0.56  (step @p12 :rule symm :premises (@p11))
% 0.39/0.56  (step @p13 :rule eq_resolve :premises (@p10 @p12))
% 0.39/0.56  (step @p14 :rule nary_cong :premises (@p13 @p8) :args (@t7))
% 0.39/0.56  (step @p15 :rule cong :premises (@p13) :args (@t8))
% 0.39/0.56  (step @p16 :rule nary_cong :premises (@p7 @p15) :args (@t9))
% 0.39/0.56  (step @p17 :rule nary_cong :premises (@p8 @p13 @p16 @p14) :args (@t16))
% 0.39/0.56  (step @p18 :rule cong :premises (@p17) :args ((forall @t11 @t16)))
% 0.39/0.56  (step @p19 :rule aci_norm :args ((= (or (or @t4 @t6) @t10) @t16)))
% 0.39/0.56  (step @p20 :rule refl :args (@t10))
% 0.39/0.56  (step @p21 :rule bool-double-not-elim :args (@t6))
% 0.39/0.56  (step @p22 :rule refl :args (@t4))
% 0.39/0.56  (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t4 (not @t8))))
% 0.39/0.56  (step @p24 :rule bool-and-de-morgan :args (@t3 @t8 true))
% 0.39/0.56  (step @p25 :rule trans :premises (@p24 @p23))
% 0.39/0.56  (step @p26 :rule nary_cong :premises (@p25 @p20) :args ((or (not @t9) @t10)))
% 0.39/0.56  (step @p27 :rule trans :premises (@p26 @p19))
% 0.39/0.56  (step @p28 :rule bool-impl-elim :args (@t9 @t10))
% 0.39/0.56  (step @p29 :rule trans :premises (@p28 @p27))
% 0.39/0.56  (step @p30 :rule cong :premises (@p29) :args (@t12))
% 0.39/0.56  (step @p31 :rule trans :premises (@p30 @p18))
% 0.39/0.56  (step @p32 :rule cong :premises (@p31) :args (@t13))
% 0.39/0.56  (step @p33 :rule eq_resolve :premises (@p1 @p32))
% 0.39/0.56  (step @p34 :rule skolemize :premises (@p33))
% 0.39/0.56  (step @p35 :rule cnf_or_neg :args (@t25 2))
% 0.39/0.56  (step @p36 :rule chain_m_resolution :premises (@p35 @p34) :args ((not @t24) @t26 @t27))
% 0.39/0.56  (step @p37 :rule bool-double-not-elim :args (@t20))
% 0.39/0.56  (step @p38 :rule refl :args (@t25))
% 0.39/0.56  (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t25 (not @t21))))
% 0.39/0.56  (step @p40 :rule cnf_or_neg :args (@t25 0))
% 0.39/0.56  (step @p41 :rule eq_resolve :premises (@p40 @p39))
% 0.39/0.56  (step @p42 :rule reordering :premises (@p41) :args ((or @t20 @t25)))
% 0.39/0.56  (step @p43 :rule chain_m_resolution :premises (@p42 @p34) :args (@t20 @t26 @t27))
% 0.39/0.56  (step @p44 :rule cnf_or_neg :args (@t25 1))
% 0.39/0.56  (step @p45 :rule reordering :premises (@p44) :args ((or @t23 @t25)))
% 0.39/0.56  (step @p46 :rule chain_m_resolution :premises (@p45 @p34) :args (@t23 @t26 @t27))
% 0.39/0.56  (step @p47 :rule bool-double-not-elim :args (@t22))
% 0.39/0.56  (step @p48 :rule refl :args (@t21))
% 0.39/0.56  (step @p49 :rule refl :args (@t24))
% 0.39/0.56  (step @p50 :rule nary_cong :premises (@p49 @p48 @p47) :args ((or @t24 @t21 (not @t23))))
% 0.39/0.56  (step @p51 :rule cnf_and_neg :args (@t24))
% 0.39/0.56  (step @p52 :rule eq_resolve :premises (@p51 @p50))
% 0.39/0.56  (step @p53 :rule reordering :premises (@p52) :args ((or @t21 @t22 @t24)))
% 0.39/0.56  (step @p54 false :rule chain_m_resolution :premises (@p53 @p46 @p43 @p36) :args (false (@list true false true) (@list @t22 @t20 @t24)))
% 0.39/0.57  )
% 0.39/0.57  % SZS output end Proof
% 0.39/0.57  % cvc5 exiting
%------------------------------------------------------------------------------