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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN369+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 : n004.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 09:08:43 AM UTC 2026

% Result   : Theorem 0.33s 0.55s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN369+1 : TPTP v9.2.1. Released v2.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n004.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 : Tue Jun  2 23:25:22 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.33/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.33/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.33/0.55  % SZS status Theorem
% 0.33/0.55  % SZS output start Proof
% 0.33/0.55  (
% 0.33/0.55  (declare-sort $$unsorted 0)
% 0.33/0.55  (declare-const tptp.big_p (-> $$unsorted $$unsorted Bool))
% 0.33/0.55  (define @t1 () (@var "Y" $$unsorted))
% 0.33/0.55  (define @t2 () (@var "X" $$unsorted))
% 0.33/0.55  (define @t3 () (@list @t1))
% 0.33/0.55  (define @t4 () (forall @t3 (tptp.big_p @t2 @t1)))
% 0.33/0.55  (define @t5 () (@list @t2))
% 0.33/0.55  (define @t6 () (exists @t5 @t4))
% 0.33/0.55  (define @t7 () (@var "W" $$unsorted))
% 0.33/0.55  (define @t8 () (@var "V" $$unsorted))
% 0.33/0.55  (define @t9 () (@var "U" $$unsorted))
% 0.33/0.55  (define @t10 () (forall (@list @t9 @t8 @t7) (or (tptp.big_p @t9 @t8) (tptp.big_p @t8 @t7))))
% 0.33/0.55  (define @t11 () (=> @t10 @t6))
% 0.33/0.55  (define @t12 () (not @t11))
% 0.33/0.55  (define @t13 () (@const 0 $$unsorted))
% 0.33/0.55  (define @t14 () (@quantifiers_skolemize (forall @t3 (tptp.big_p @t13 @t1)) 0))
% 0.33/0.55  (define @t15 () (@quantifiers_skolemize (forall @t3 (tptp.big_p @t14 @t1)) 0))
% 0.33/0.55  (define @t16 () (tptp.big_p @t14 @t15))
% 0.33/0.55  (define @t17 () (tptp.big_p @t13 @t14))
% 0.33/0.55  (define @t18 () (or @t17 @t16))
% 0.33/0.55  (define @t19 () (not @t18))
% 0.33/0.55  (assume @p1 @t12)
% 0.33/0.55  (assume @p2 true)
% 0.33/0.55  (step @p3 :rule exists-elim :args ((= @t6 (not (forall @t5 (not @t4))))))
% 0.33/0.55  (step @p4 :rule refl :args (@t10))
% 0.33/0.55  (step @p5 :rule cong :premises (@p4 @p3) :args (@t11))
% 0.33/0.55  (step @p6 :rule cong :premises (@p5) :args (@t12))
% 0.33/0.55  (step @p7 :rule eq_resolve :premises (@p1 @p6))
% 0.33/0.55  (step @p8 :rule not_implies_elim1 :premises (@p7))
% 0.33/0.55  (step @p9 :rule not_implies_elim2 :premises (@p7))
% 0.33/0.55  (step @p10 :rule not_not_elim :premises (@p9))
% 0.33/0.55  (step @p11 :rule instantiate :premises (@p10) :args ((@list @t14)))
% 0.33/0.55  (step @p12 :rule skolemize :premises (@p11))
% 0.33/0.55  (step @p13 :rule instantiate :premises (@p10) :args ((@list @t13)))
% 0.33/0.55  (step @p14 :rule skolemize :premises (@p13))
% 0.33/0.55  (step @p15 :rule cnf_or_pos :args (@t18))
% 0.33/0.55  (step @p16 :rule reordering :premises (@p15) :args ((or @t17 @t16 @t19)))
% 0.33/0.55  (step @p17 :rule chain_m_resolution :premises (@p16 @p14 @p12) :args (@t19 (@list true true) (@list @t17 @t16)))
% 0.33/0.55  (assume-push @p24 @t10)
% 0.33/0.55  (step @p19 :rule instantiate :premises (@p8) :args ((@list @t13 @t14 @t15)))
% 0.33/0.56  (step-pop @p25 :rule scope :premises (@p19))
% 0.33/0.56  (step @p20 :rule process_scope :premises (@p25) :args (@t18))
% 0.33/0.56  (step @p22 :rule implies_elim :premises (@p20))
% 0.33/0.56  (step @p23 false :rule chain_m_resolution :premises (@p22 @p17 @p8) :args (false (@list true false) (@list @t18 @t10)))
% 0.33/0.56  )
% 0.33/0.56  % SZS output end Proof
% 0.33/0.56  % cvc5 exiting
%------------------------------------------------------------------------------