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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN060+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 09:07:56 AM UTC 2026

% Result   : Theorem 0.30s 0.54s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN060+1 : TPTP v9.2.1. Released v2.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n026.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 23:19:55 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.30/0.54  % SZS status Theorem
% 0.30/0.54  % SZS output start Proof
% 0.30/0.54  (
% 0.30/0.54  (declare-sort $$unsorted 0)
% 0.30/0.54  (declare-const tptp.big_i (-> $$unsorted Bool))
% 0.30/0.54  (declare-const tptp.big_f (-> $$unsorted Bool))
% 0.30/0.54  (declare-const tptp.big_g (-> $$unsorted Bool))
% 0.30/0.54  (declare-const tptp.big_h (-> $$unsorted Bool))
% 0.30/0.54  (define @t1 () (@var "X" $$unsorted))
% 0.30/0.54  (define @t2 () (tptp.big_h @t1))
% 0.30/0.54  (define @t3 () (not @t2))
% 0.30/0.54  (define @t4 () (tptp.big_g @t1))
% 0.30/0.54  (define @t5 () (tptp.big_f @t1))
% 0.30/0.54  (define @t6 () (or @t5 @t4))
% 0.30/0.54  (define @t7 () (@list @t1))
% 0.30/0.54  (define @t8 () (forall @t7 (=> @t6 @t3)))
% 0.30/0.54  (define @t9 () (and @t5 @t2))
% 0.30/0.54  (define @t10 () (tptp.big_i @t1))
% 0.30/0.54  (define @t11 () (not @t10))
% 0.30/0.54  (define @t12 () (=> @t4 @t11))
% 0.30/0.54  (define @t13 () (forall @t7 (=> @t12 @t9)))
% 0.30/0.54  (define @t14 () (forall @t7 @t10))
% 0.30/0.54  (define @t15 () (@quantifiers_skolemize @t14 0))
% 0.30/0.54  (define @t16 () (@list @t15))
% 0.30/0.54  (define @t17 () (tptp.big_i @t15))
% 0.30/0.54  (define @t18 () (tptp.big_g @t15))
% 0.30/0.54  (define @t19 () (and @t18 @t17))
% 0.30/0.54  (define @t20 () (not @t19))
% 0.30/0.54  (define @t21 () (tptp.big_h @t15))
% 0.30/0.54  (define @t22 () (tptp.big_f @t15))
% 0.30/0.54  (define @t23 () (and @t22 @t21))
% 0.30/0.54  (define @t24 () (or @t19 @t23))
% 0.30/0.54  (define @t25 () (not @t23))
% 0.30/0.54  (define @t26 () (@list false))
% 0.30/0.54  (define @t27 () (@list @t23))
% 0.30/0.54  (define @t28 () (not @t22))
% 0.30/0.54  (define @t29 () (and @t28 (not @t18)))
% 0.30/0.54  (define @t30 () (not @t29))
% 0.30/0.54  (define @t31 () (not @t21))
% 0.30/0.54  (define @t32 () (or @t29 @t31))
% 0.30/0.54  (assume @p1 @t8)
% 0.30/0.54  (assume @p2 @t13)
% 0.30/0.54  (assume @p3 (not @t14))
% 0.30/0.54  (assume @p4 true)
% 0.30/0.54  (step @p5 :rule refl :args (@t9))
% 0.30/0.54  (step @p6 :rule bool-double-not-elim :args (@t10))
% 0.30/0.54  (step @p7 :rule refl :args (@t4))
% 0.30/0.54  (step @p8 :rule nary_cong :premises (@p7 @p6) :args ((and @t4 (not @t11))))
% 0.30/0.54  (step @p9 :rule bool-implies-de-morgan :args (@t4 @t11))
% 0.30/0.54  (step @p10 :rule trans :premises (@p9 @p8))
% 0.30/0.54  (step @p11 :rule nary_cong :premises (@p10 @p5) :args ((or (not @t12) @t9)))
% 0.30/0.54  (step @p12 :rule bool-impl-elim :args (@t12 @t9))
% 0.30/0.54  (step @p13 :rule trans :premises (@p12 @p11))
% 0.30/0.54  (step @p14 :rule cong :premises (@p13) :args (@t13))
% 0.30/0.54  (step @p15 :rule eq_resolve :premises (@p2 @p14))
% 0.30/0.54  (step @p16 :rule instantiate :premises (@p15) :args (@t16))
% 0.30/0.54  (step @p17 :rule skolemize :premises (@p3))
% 0.30/0.54  (step @p18 :rule cnf_and_pos :args (@t19 1))
% 0.30/0.54  (step @p19 :rule reordering :premises (@p18) :args ((or @t17 @t20)))
% 0.30/0.54  (step @p20 :rule chain_m_resolution :premises (@p19 @p17) :args (@t20 (@list true) (@list @t17)))
% 0.30/0.54  (step @p21 :rule cnf_or_pos :args (@t24))
% 0.30/0.54  (step @p22 :rule reordering :premises (@p21) :args ((or @t19 @t23 (not @t24))))
% 0.30/0.54  (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p16) :args (@t23 (@list true false) (@list @t19 @t24)))
% 0.30/0.54  (step @p24 :rule cnf_and_pos :args (@t23 1))
% 0.30/0.54  (step @p25 :rule reordering :premises (@p24) :args ((or @t21 @t25)))
% 0.30/0.54  (step @p26 :rule chain_m_resolution :premises (@p25 @p23) :args (@t21 @t26 @t27))
% 0.30/0.54  (step @p27 :rule cnf_and_pos :args (@t23 0))
% 0.30/0.54  (step @p28 :rule reordering :premises (@p27) :args ((or @t22 @t25)))
% 0.30/0.54  (step @p29 :rule chain_m_resolution :premises (@p28 @p23) :args (@t22 @t26 @t27))
% 0.30/0.54  (step @p30 :rule cnf_and_pos :args (@t29 0))
% 0.30/0.54  (step @p31 :rule reordering :premises (@p30) :args ((or @t28 @t30)))
% 0.30/0.54  (step @p32 :rule chain_m_resolution :premises (@p31 @p29) :args (@t30 @t26 (@list @t22)))
% 0.30/0.54  (step @p33 :rule refl :args (@t3))
% 0.30/0.54  (step @p34 :rule bool-or-de-morgan :args (@t5 @t4 false))
% 0.30/0.54  (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t6) @t3)))
% 0.30/0.54  (step @p36 :rule bool-impl-elim :args (@t6 @t3))
% 0.30/0.54  (step @p37 :rule trans :premises (@p36 @p35))
% 0.30/0.54  (step @p38 :rule cong :premises (@p37) :args (@t8))
% 0.30/0.54  (step @p39 :rule eq_resolve :premises (@p1 @p38))
% 0.30/0.54  (step @p40 :rule instantiate :premises (@p39) :args (@t16))
% 0.30/0.54  (step @p41 :rule cnf_or_pos :args (@t32))
% 0.30/0.54  (step @p42 :rule reordering :premises (@p41) :args ((or @t31 @t29 (not @t32))))
% 0.30/0.54  (step @p43 false :rule chain_m_resolution :premises (@p42 @p40 @p32 @p26) :args (false (@list false true false) (@list @t32 @t29 @t21)))
% 0.30/0.54  )
% 0.30/0.54  % SZS output end Proof
% 0.30/0.54  % cvc5 exiting
%------------------------------------------------------------------------------