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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEV397^5 : 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 : 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 08:55:54 AM UTC 2026

% Result   : Theorem 0.36s 0.55s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV397^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n013.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
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Tue Jun  2 18:31:15 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.30/0.50  %----Proving TH0
% 0.36/0.55  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.36/0.55  % SZS status Theorem
% 0.36/0.55  % SZS output start Proof
% 0.36/0.55  (
% 0.36/0.55  (declare-sort tptp.a 0)
% 0.36/0.55  (declare-const tptp.cX (-> tptp.a Bool))
% 0.36/0.55  (declare-const tptp.cY (-> tptp.a Bool))
% 0.36/0.55  (declare-const tptp.cZ (-> tptp.a Bool))
% 0.36/0.55  (define @t1 () (@var "Xx" tptp.a))
% 0.36/0.55  (define @t2 () (_ tptp.cZ @t1))
% 0.36/0.55  (define @t3 () (_ tptp.cY @t1))
% 0.36/0.55  (define @t4 () (or @t3 @t2))
% 0.36/0.55  (define @t5 () (_ tptp.cX @t1))
% 0.36/0.55  (define @t6 () (or @t5 @t2))
% 0.36/0.55  (define @t7 () (and @t6 @t4))
% 0.36/0.55  (define @t8 () (and @t5 @t3))
% 0.36/0.55  (define @t9 () (or @t8 @t2))
% 0.36/0.55  (define @t10 () (= @t9 @t7))
% 0.36/0.55  (define @t11 () (@list @t1))
% 0.36/0.55  (define @t12 () (forall @t11 @t10))
% 0.36/0.55  (define @t13 () (not @t12))
% 0.36/0.55  (define @t14 () (tptp.cZ @t1))
% 0.36/0.55  (define @t15 () (tptp.cY @t1))
% 0.36/0.55  (define @t16 () (tptp.cX @t1))
% 0.36/0.55  (define @t17 () (@quantifiers_skolemize (forall @t11 (= (or (and @t16 @t15) @t14) (and (or @t16 @t14) (or @t15 @t14)))) 0))
% 0.36/0.55  (define @t18 () (tptp.cZ @t17))
% 0.36/0.55  (define @t19 () (tptp.cX @t17))
% 0.36/0.55  (define @t20 () (or @t19 @t18))
% 0.36/0.55  (define @t21 () (tptp.cY @t17))
% 0.36/0.55  (define @t22 () (and @t19 @t21))
% 0.36/0.55  (define @t23 () (or @t22 @t18))
% 0.36/0.55  (define @t24 () (or @t21 @t18))
% 0.36/0.55  (define @t25 () (and @t20 @t24))
% 0.36/0.55  (define @t26 () (= @t23 @t25))
% 0.36/0.55  (define @t27 () (not @t20))
% 0.36/0.55  (define @t28 () (not @t18))
% 0.36/0.55  (define @t29 () (not @t19))
% 0.36/0.55  (define @t30 () (not @t22))
% 0.36/0.55  (define @t31 () (not @t23))
% 0.36/0.55  (define @t32 () (not @t25))
% 0.36/0.55  (define @t33 () (@list true true))
% 0.36/0.55  (assume @p1 @t13)
% 0.36/0.55  (assume @p2 true)
% 0.36/0.55  (step @p3 :rule cnf_or_neg :args (@t20 1))
% 0.36/0.55  (step @p4 :rule cnf_or_neg :args (@t23 1))
% 0.36/0.55  (step @p5 :rule cnf_or_neg :args (@t24 1))
% 0.36/0.55  (step @p6 :rule refl :args (@t14))
% 0.36/0.55  (step @p7 :rule refl :args (@t2))
% 0.36/0.55  (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t2 @t14)))
% 0.36/0.55  (step @p9 :rule symm :premises (@p8))
% 0.36/0.55  (step @p10 :rule eq_resolve :premises (@p7 @p9))
% 0.36/0.55  (step @p11 :rule refl :args (@t15))
% 0.36/0.55  (step @p12 :rule refl :args (@t3))
% 0.36/0.55  (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t3 @t15)))
% 0.36/0.55  (step @p14 :rule symm :premises (@p13))
% 0.36/0.55  (step @p15 :rule eq_resolve :premises (@p12 @p14))
% 0.36/0.56  (step @p16 :rule nary_cong :premises (@p15 @p10) :args (@t4))
% 0.36/0.56  (step @p17 :rule refl :args (@t16))
% 0.36/0.56  (step @p18 :rule refl :args (@t5))
% 0.36/0.56  (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t5 @t16)))
% 0.36/0.56  (step @p20 :rule symm :premises (@p19))
% 0.36/0.56  (step @p21 :rule eq_resolve :premises (@p18 @p20))
% 0.36/0.56  (step @p22 :rule nary_cong :premises (@p21 @p10) :args (@t6))
% 0.36/0.56  (step @p23 :rule nary_cong :premises (@p22 @p16) :args (@t7))
% 0.36/0.56  (step @p24 :rule nary_cong :premises (@p21 @p15) :args (@t8))
% 0.36/0.56  (step @p25 :rule nary_cong :premises (@p24 @p10) :args (@t9))
% 0.36/0.56  (step @p26 :rule cong :premises (@p25 @p23) :args (@t10))
% 0.36/0.56  (step @p27 :rule cong :premises (@p26) :args (@t12))
% 0.36/0.56  (step @p28 :rule cong :premises (@p27) :args (@t13))
% 0.36/0.56  (step @p29 :rule eq_resolve :premises (@p1 @p28))
% 0.36/0.56  (step @p30 :rule skolemize :premises (@p29))
% 0.36/0.56  (step @p31 :rule cnf_equiv_neg2 :args (@t26))
% 0.36/0.56  (step @p32 :rule cnf_and_neg :args (@t25))
% 0.36/0.56  (step @p33 :rule chain_m_resolution :premises (@p32 @p31 @p30 @p5 @p4) :args ((or @t28 @t27) (@list true true false false) (@list @t25 @t26 @t24 @t23)))
% 0.36/0.56  (step @p34 :rule chain_m_resolution :premises (@p33 @p3) :args (@t28 (@list false) (@list @t20)))
% 0.36/0.56  (step @p35 :rule cnf_or_neg :args (@t20 0))
% 0.36/0.56  (step @p36 :rule cnf_and_neg :args (@t22))
% 0.36/0.56  (step @p37 :rule cnf_or_neg :args (@t24 0))
% 0.36/0.56  (step @p38 :rule cnf_or_neg :args (@t23 0))
% 0.36/0.56  (step @p39 :rule chain_m_resolution :premises (@p31 @p30 @p32 @p38 @p37 @p36 @p35) :args ((or @t29 (not @t21)) (@list true false false false false false) (@list @t26 @t25 @t23 @t24 @t22 @t20)))
% 0.36/0.56  (step @p40 :rule cnf_and_pos :args (@t22 1))
% 0.36/0.56  (step @p41 :rule reordering :premises (@p40) :args ((or @t21 @t30)))
% 0.36/0.56  (step @p42 :rule cnf_or_pos :args (@t23))
% 0.36/0.56  (step @p43 :rule reordering :premises (@p42) :args ((or @t22 @t18 @t31)))
% 0.36/0.56  (step @p44 :rule cnf_or_pos :args (@t24))
% 0.36/0.56  (step @p45 :rule reordering :premises (@p44) :args ((or @t21 @t18 (not @t24))))
% 0.36/0.56  (step @p46 :rule cnf_equiv_neg1 :args (@t26))
% 0.36/0.56  (step @p47 :rule reordering :premises (@p46) :args ((or @t23 @t25 @t26)))
% 0.36/0.56  (step @p48 :rule cnf_and_pos :args (@t25 1))
% 0.36/0.56  (step @p49 :rule reordering :premises (@p48) :args ((or @t24 @t32)))
% 0.36/0.56  (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p30 @p45 @p43 @p33 @p41 @p39 @p35) :args (@t29 (@list false true true true true true true false) (@list @t25 @t26 @t24 @t23 @t18 @t22 @t21 @t20)))
% 0.36/0.56  (step @p51 :rule cnf_or_pos :args (@t20))
% 0.36/0.56  (step @p52 :rule reordering :premises (@p51) :args ((or @t19 @t18 @t27)))
% 0.36/0.56  (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p34) :args (@t27 @t33 (@list @t19 @t18)))
% 0.36/0.56  (step @p54 :rule cnf_and_pos :args (@t22 0))
% 0.36/0.56  (step @p55 :rule reordering :premises (@p54) :args ((or @t19 @t30)))
% 0.36/0.56  (step @p56 :rule chain_m_resolution :premises (@p55 @p50) :args (@t30 (@list true) (@list @t19)))
% 0.36/0.56  (step @p57 :rule chain_m_resolution :premises (@p43 @p56 @p34) :args (@t31 @t33 (@list @t22 @t18)))
% 0.36/0.56  (step @p58 :rule chain_m_resolution :premises (@p47 @p57 @p30) :args (@t25 @t33 (@list @t23 @t26)))
% 0.36/0.56  (step @p59 :rule cnf_and_pos :args (@t25 0))
% 0.36/0.56  (step @p60 :rule reordering :premises (@p59) :args ((or @t20 @t32)))
% 0.36/0.56  (step @p61 false :rule chain_m_resolution :premises (@p60 @p58 @p53) :args (false (@list false true) (@list @t25 @t20)))
% 0.36/0.56  )
% 0.36/0.56  % SZS output end Proof
% 0.36/0.56  % cvc5 exiting
%------------------------------------------------------------------------------