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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN083+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 : n026.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 0.37s 0.56s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN083+1 : TPTP v9.2.1. Released v2.0.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n026.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
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Tue Jun  2 23:20:40 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.37/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.37/0.56  % SZS status Theorem
% 0.37/0.56  % SZS output start Proof
% 0.37/0.56  (
% 0.37/0.56  (declare-sort $$unsorted 0)
% 0.37/0.56  (declare-const tptp.f (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.56  (define @t1 () (@var "Z" $$unsorted))
% 0.37/0.56  (define @t2 () (@var "Y" $$unsorted))
% 0.37/0.56  (define @t3 () (@var "X" $$unsorted))
% 0.37/0.56  (define @t4 () (tptp.f (tptp.f @t3 @t2) @t1))
% 0.37/0.56  (define @t5 () (@var "W" $$unsorted))
% 0.37/0.56  (define @t6 () (forall (@list @t3 @t2 @t1 @t5) (= (tptp.f @t3 (tptp.f @t2 (tptp.f @t1 @t5))) (tptp.f @t4 @t5))))
% 0.37/0.56  (define @t7 () (@quantifiers_skolemize @t6 3))
% 0.37/0.56  (define @t8 () (@quantifiers_skolemize @t6 2))
% 0.37/0.56  (define @t9 () (@quantifiers_skolemize @t6 1))
% 0.37/0.56  (define @t10 () (@quantifiers_skolemize @t6 0))
% 0.37/0.56  (assume @p1 (forall (@list @t3 @t2 @t1) (= (tptp.f @t3 (tptp.f @t2 @t1)) @t4)))
% 0.37/0.56  (assume @p2 (not @t6))
% 0.37/0.56  (assume @p3 true)
% 0.37/0.56  (step @p4 :rule evaluate :args ((= false true)))
% 0.37/0.56  (step @p5 :rule instantiate :premises (@p1) :args ((@list (tptp.f @t10 @t9) @t8 @t7)))
% 0.37/0.56  (step @p6 :rule instantiate :premises (@p1) :args ((@list @t10 @t9 (tptp.f @t8 @t7))))
% 0.37/0.56  (step @p7 :rule trans :premises (@p6 @p5))
% 0.37/0.56  (step @p8 :rule true_intro :premises (@p7))
% 0.37/0.56  (step @p9 :rule skolemize :premises (@p2))
% 0.37/0.56  (step @p10 :rule false_intro :premises (@p9))
% 0.37/0.56  (step @p11 :rule symm :premises (@p10))
% 0.37/0.56  (step @p12 :rule trans :premises (@p11 @p8))
% 0.37/0.56  (step @p13 false :rule eq_resolve :premises (@p12 @p4))
% 0.37/0.56  )
% 0.37/0.56  % SZS output end Proof
% 0.37/0.56  % cvc5 exiting
%------------------------------------------------------------------------------