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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN408+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 : n015.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 09:08:49 AM UTC 2026

% Result   : Theorem 0.32s 0.55s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem  : SYN408+1 : TPTP v9.2.1. Released v2.0.0.
% 0.10/0.15  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.36  % Computer : n015.cluster.edu
% 0.18/0.36  % Model    : x86_64 x86_64
% 0.18/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36  % Memory   : 8042.1875MB
% 0.18/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit : 300
% 0.18/0.36  % WCLimit  : 300
% 0.18/0.36  % DateTime : Tue Jun  2 23:27:04 EDT 2026
% 0.18/0.36  % CPUTime  : 
% 0.32/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.32/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.32/0.55  % SZS status Theorem
% 0.32/0.55  % SZS output start Proof
% 0.32/0.55  (
% 0.32/0.55  (declare-sort $$unsorted 0)
% 0.32/0.55  (declare-const tptp.f (-> $$unsorted Bool))
% 0.32/0.55  (declare-const tptp.g (-> $$unsorted Bool))
% 0.32/0.55  (define @t1 () (@var "Y" $$unsorted))
% 0.32/0.55  (define @t2 () (tptp.g @t1))
% 0.32/0.55  (define @t3 () (tptp.f @t1))
% 0.32/0.55  (define @t4 () (@list @t1))
% 0.32/0.55  (define @t5 () (forall @t4 (=> @t3 @t2)))
% 0.32/0.55  (define @t6 () (@var "X" $$unsorted))
% 0.32/0.55  (define @t7 () (tptp.f @t6))
% 0.32/0.55  (define @t8 () (@list @t6))
% 0.32/0.55  (define @t9 () (exists @t8 @t7))
% 0.32/0.55  (define @t10 () (not @t9))
% 0.32/0.55  (define @t11 () (=> @t10 @t5))
% 0.32/0.55  (define @t12 () (not @t11))
% 0.32/0.55  (define @t13 () (forall @t8 (not @t7)))
% 0.32/0.55  (define @t14 () (@quantifiers_skolemize (forall @t4 (or (not @t3) @t2)) 0))
% 0.32/0.55  (define @t15 () (tptp.f @t14))
% 0.32/0.55  (define @t16 () (not @t15))
% 0.32/0.55  (define @t17 () (or @t16 (tptp.g @t14)))
% 0.32/0.55  (assume @p1 @t12)
% 0.32/0.55  (assume @p2 true)
% 0.32/0.55  (step @p3 :rule bool-impl-elim :args (@t3 @t2))
% 0.32/0.55  (step @p4 :rule cong :premises (@p3) :args (@t5))
% 0.32/0.55  (step @p5 :rule bool-double-not-elim :args (@t13))
% 0.32/0.55  (step @p6 :rule exists-elim :args ((= @t9 (not @t13))))
% 0.32/0.55  (step @p7 :rule cong :premises (@p6) :args (@t10))
% 0.32/0.55  (step @p8 :rule trans :premises (@p7 @p5))
% 0.32/0.55  (step @p9 :rule cong :premises (@p8 @p4) :args (@t11))
% 0.32/0.55  (step @p10 :rule cong :premises (@p9) :args (@t12))
% 0.32/0.55  (step @p11 :rule eq_resolve :premises (@p1 @p10))
% 0.32/0.55  (step @p12 :rule not_implies_elim1 :premises (@p11))
% 0.32/0.55  (step @p13 :rule not_implies_elim2 :premises (@p11))
% 0.32/0.55  (step @p14 :rule skolemize :premises (@p13))
% 0.32/0.55  (step @p15 :rule bool-double-not-elim :args (@t15))
% 0.32/0.55  (step @p16 :rule refl :args (@t17))
% 0.32/0.55  (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or @t17 (not @t16))))
% 0.32/0.55  (step @p18 :rule cnf_or_neg :args (@t17 0))
% 0.32/0.55  (step @p19 :rule eq_resolve :premises (@p18 @p17))
% 0.32/0.55  (step @p20 :rule reordering :premises (@p19) :args ((or @t15 @t17)))
% 0.32/0.55  (step @p21 :rule chain_m_resolution :premises (@p20 @p14) :args (@t15 (@list true) (@list @t17)))
% 0.32/0.55  (assume-push @p28 @t13)
% 0.32/0.55  (step @p23 :rule instantiate :premises (@p12) :args ((@list @t14)))
% 0.32/0.55  (step-pop @p29 :rule scope :premises (@p23))
% 0.32/0.55  (step @p24 :rule process_scope :premises (@p29) :args (@t16))
% 0.32/0.55  (step @p26 :rule implies_elim :premises (@p24))
% 0.32/0.55  (step @p27 false :rule chain_m_resolution :premises (@p26 @p21 @p12) :args (false (@list false false) (@list @t15 @t13)))
% 0.32/0.55  )
% 0.32/0.55  % SZS output end Proof
% 0.32/0.55  % cvc5 exiting
%------------------------------------------------------------------------------