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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN948+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n024.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 09:10:07 AM UTC 2026

% Result   : Theorem 0.15s 0.35s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SYN948+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.25  % Computer : n024.cluster.edu
% 0.07/0.25  % Model    : x86_64 x86_64
% 0.07/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25  % Memory   : 8042.1875MB
% 0.07/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25  % CPULimit : 300
% 0.07/0.25  % WCLimit  : 300
% 0.07/0.25  % DateTime : Tue Jun  2 18:49:45 EDT 2026
% 0.07/0.25  % CPUTime  : 
% 0.07/0.32  %----Proving TF0_NAR, FOF, or CNF
% 0.15/0.35  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.15/0.35  % SZS status Theorem
% 0.15/0.35  % SZS output start Proof
% 0.15/0.35  (
% 0.15/0.35  (declare-sort $$unsorted 0)
% 0.15/0.35  (declare-const tptp.a (-> $$unsorted $$unsorted Bool))
% 0.15/0.35  (define @t1 () (@var "Z" $$unsorted))
% 0.15/0.35  (define @t2 () (tptp.a @t1 @t1))
% 0.15/0.35  (define @t3 () (@list @t1))
% 0.15/0.35  (define @t4 () (exists @t3 @t2))
% 0.15/0.35  (define @t5 () (@var "Y" $$unsorted))
% 0.15/0.35  (define @t6 () (tptp.a @t5 @t5))
% 0.15/0.35  (define @t7 () (@var "X" $$unsorted))
% 0.15/0.35  (define @t8 () (tptp.a @t7 @t5))
% 0.15/0.35  (define @t9 () (and @t8 @t6))
% 0.15/0.35  (define @t10 () (@list @t5))
% 0.15/0.35  (define @t11 () (exists @t10 @t9))
% 0.15/0.35  (define @t12 () (forall (@list @t7) @t11))
% 0.15/0.35  (define @t13 () (=> @t12 @t4))
% 0.15/0.35  (define @t14 () (not @t13))
% 0.15/0.35  (define @t15 () (forall @t3 (not @t2)))
% 0.15/0.35  (define @t16 () (forall @t10 (not @t9)))
% 0.15/0.35  (define @t17 () (not @t16))
% 0.15/0.35  (define @t18 () (@const 0 $$unsorted))
% 0.15/0.35  (define @t19 () (@quantifiers_skolemize (forall @t10 (or (not (tptp.a @t18 @t5)) (not @t6))) 0))
% 0.15/0.35  (define @t20 () (tptp.a @t19 @t19))
% 0.15/0.35  (define @t21 () (not @t20))
% 0.15/0.35  (define @t22 () (or (not (tptp.a @t18 @t19)) @t21))
% 0.15/0.35  (assume @p1 @t14)
% 0.15/0.35  (assume @p2 true)
% 0.15/0.35  (step @p3 :rule exists-elim :args ((= @t4 (not @t15))))
% 0.15/0.35  (step @p4 :rule bool-and-de-morgan :args (@t8 @t6 true))
% 0.15/0.35  (step @p5 :rule cong :premises (@p4) :args (@t16))
% 0.15/0.35  (step @p6 :rule cong :premises (@p5) :args (@t17))
% 0.15/0.35  (step @p7 :rule exists-elim :args ((= @t11 @t17)))
% 0.15/0.35  (step @p8 :rule trans :premises (@p7 @p6))
% 0.15/0.35  (step @p9 :rule cong :premises (@p8) :args (@t12))
% 0.15/0.35  (step @p10 :rule cong :premises (@p9 @p3) :args (@t13))
% 0.15/0.35  (step @p11 :rule cong :premises (@p10) :args (@t14))
% 0.15/0.35  (step @p12 :rule eq_resolve :premises (@p1 @p11))
% 0.15/0.35  (step @p13 :rule not_implies_elim2 :premises (@p12))
% 0.15/0.35  (step @p14 :rule not_not_elim :premises (@p13))
% 0.15/0.35  (step @p15 :rule not_implies_elim1 :premises (@p12))
% 0.15/0.35  (step @p16 :rule instantiate :premises (@p15) :args ((@list @t18)))
% 0.15/0.35  (step @p17 :rule skolemize :premises (@p16))
% 0.15/0.35  (step @p18 :rule bool-double-not-elim :args (@t20))
% 0.15/0.35  (step @p19 :rule refl :args (@t22))
% 0.15/0.35  (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t22 (not @t21))))
% 0.15/0.35  (step @p21 :rule cnf_or_neg :args (@t22 1))
% 0.15/0.35  (step @p22 :rule eq_resolve :premises (@p21 @p20))
% 0.15/0.35  (step @p23 :rule reordering :premises (@p22) :args ((or @t20 @t22)))
% 0.15/0.35  (step @p24 :rule chain_m_resolution :premises (@p23 @p17) :args (@t20 (@list true) (@list @t22)))
% 0.15/0.35  (assume-push @p31 @t15)
% 0.15/0.35  (step @p26 :rule instantiate :premises (@p14) :args ((@list @t19)))
% 0.15/0.35  (step-pop @p32 :rule scope :premises (@p26))
% 0.15/0.35  (step @p27 :rule process_scope :premises (@p32) :args (@t21))
% 0.15/0.35  (step @p29 :rule implies_elim :premises (@p27))
% 0.15/0.35  (step @p30 false :rule chain_m_resolution :premises (@p29 @p24 @p14) :args (false (@list false false) (@list @t20 @t15)))
% 0.15/0.35  )
% 0.15/0.35  % SZS output end Proof
% 0.15/0.35  % cvc5 exiting
%------------------------------------------------------------------------------