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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN080+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 : n005.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 09:08:02 AM UTC 2026

% Result   : Theorem 0.31s 0.56s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN080+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
% 0.16/0.35  % Computer : n005.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 23:20:18 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.31/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.31/0.56  % SZS status Theorem
% 0.31/0.56  % SZS output start Proof
% 0.31/0.56  (
% 0.31/0.56  (declare-sort $$unsorted 0)
% 0.31/0.56  (declare-const tptp.f (-> $$unsorted $$unsorted))
% 0.31/0.56  (declare-const tptp.g (-> $$unsorted $$unsorted))
% 0.31/0.56  (define @t1 () (@var "Y" $$unsorted))
% 0.31/0.56  (define @t2 () (tptp.g @t1))
% 0.31/0.56  (define @t3 () (@var "X" $$unsorted))
% 0.31/0.56  (define @t4 () (tptp.f @t3))
% 0.31/0.56  (define @t5 () (@list @t3 @t1))
% 0.31/0.56  (define @t6 () (forall @t5 (= (tptp.f @t4) (tptp.f @t2))))
% 0.31/0.56  (define @t7 () (@quantifiers_skolemize @t6 1))
% 0.31/0.56  (define @t8 () (@quantifiers_skolemize @t6 0))
% 0.31/0.56  (define @t9 () (tptp.g @t7))
% 0.31/0.56  (define @t10 () (tptp.f @t8))
% 0.31/0.56  (define @t11 () (= @t10 @t9))
% 0.31/0.56  (define @t12 () (tptp.f @t10))
% 0.31/0.56  (define @t13 () (= @t12 (tptp.f @t9)))
% 0.31/0.56  (assume @p1 (forall @t5 (= @t4 @t2)))
% 0.31/0.56  (assume @p2 (not @t6))
% 0.31/0.56  (assume @p3 true)
% 0.31/0.56  (step @p4 :rule skolemize :premises (@p2))
% 0.31/0.56  (step @p5 :rule instantiate :premises (@p1) :args ((@list @t8 @t7)))
% 0.31/0.56  (assume-push @p13 @t11)
% 0.31/0.56  (step @p7 :rule cong :premises (@p5) :args (@t12))
% 0.31/0.56  (step-pop @p14 :rule scope :premises (@p7))
% 0.31/0.56  (step @p8 :rule process_scope :premises (@p14) :args (@t13))
% 0.31/0.56  (step @p10 :rule implies_elim :premises (@p8))
% 0.31/0.56  (step @p11 :rule reordering :premises (@p10) :args ((or @t13 (not @t11))))
% 0.31/0.56  (step @p12 false :rule chain_m_resolution :premises (@p11 @p5 @p4) :args (false (@list false true) (@list @t11 @t13)))
% 0.31/0.56  )
% 0.31/0.56  % SZS output end Proof
% 0.31/0.56  % cvc5 exiting
%------------------------------------------------------------------------------