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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN410+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 : n027.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 0.35s 0.56s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN410+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
% 0.16/0.35  % Computer : n027.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Tue Jun  2 23:27:06 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.35/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.35/0.56  % SZS status Theorem
% 0.35/0.56  % SZS output start Proof
% 0.35/0.56  (
% 0.35/0.56  (declare-sort $$unsorted 0)
% 0.35/0.56  (declare-const tptp.f (-> $$unsorted $$unsorted Bool))
% 0.35/0.56  (define @t1 () (@var "V" $$unsorted))
% 0.35/0.56  (define @t2 () (@var "U" $$unsorted))
% 0.35/0.56  (define @t3 () (tptp.f @t2 @t1))
% 0.35/0.56  (define @t4 () (@list @t2 @t1))
% 0.35/0.56  (define @t5 () (exists @t4 @t3))
% 0.35/0.56  (define @t6 () (@var "Y" $$unsorted))
% 0.35/0.56  (define @t7 () (@var "X" $$unsorted))
% 0.35/0.56  (define @t8 () (forall (@list @t7 @t6) (tptp.f @t7 @t6)))
% 0.35/0.56  (define @t9 () (=> @t8 @t5))
% 0.35/0.56  (define @t10 () (not @t9))
% 0.35/0.56  (define @t11 () (forall @t4 (not @t3)))
% 0.35/0.56  (define @t12 () (@const 0 $$unsorted))
% 0.35/0.56  (define @t13 () (@list @t12 @t12))
% 0.35/0.56  (define @t14 () (tptp.f @t12 @t12))
% 0.35/0.56  (assume @p1 @t10)
% 0.35/0.56  (assume @p2 true)
% 0.35/0.56  (step @p3 :rule exists-elim :args ((= @t5 (not @t11))))
% 0.35/0.56  (step @p4 :rule refl :args (@t8))
% 0.35/0.56  (step @p5 :rule cong :premises (@p4 @p3) :args (@t9))
% 0.35/0.56  (step @p6 :rule cong :premises (@p5) :args (@t10))
% 0.35/0.56  (step @p7 :rule eq_resolve :premises (@p1 @p6))
% 0.35/0.56  (step @p8 :rule not_implies_elim2 :premises (@p7))
% 0.35/0.56  (step @p9 :rule not_not_elim :premises (@p8))
% 0.35/0.56  (step @p10 :rule not_implies_elim1 :premises (@p7))
% 0.35/0.56  (step @p11 :rule instantiate :premises (@p10) :args (@t13))
% 0.35/0.56  (assume-push @p18 @t11)
% 0.35/0.56  (step @p13 :rule instantiate :premises (@p9) :args (@t13))
% 0.35/0.56  (step-pop @p19 :rule scope :premises (@p13))
% 0.35/0.56  (step @p14 :rule process_scope :premises (@p19) :args ((not @t14)))
% 0.35/0.56  (step @p16 :rule implies_elim :premises (@p14))
% 0.35/0.56  (step @p17 false :rule chain_m_resolution :premises (@p16 @p11 @p9) :args (false (@list false false) (@list @t14 @t11)))
% 0.35/0.56  )
% 0.35/0.56  % SZS output end Proof
% 0.35/0.56  % cvc5 exiting
%------------------------------------------------------------------------------