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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI360_1 : TPTP v9.2.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 08:07:32 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
% 0.12/0.13  % Problem  : ARI360_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n018.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Wed Jun  3 02:27:50 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.31/0.51  %----Proving TF0_ARI
% 0.31/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.31/0.56  % SZS status Theorem
% 0.31/0.56  % SZS output start Proof
% 0.31/0.56  (
% 0.31/0.56  (define @t1 () (/ 13 4))
% 0.31/0.56  (define @t2 () (/ 39 5))
% 0.31/0.56  (define @t3 () (<= @t2 @t1))
% 0.31/0.56  (define @t4 () (not (not @t3)))
% 0.31/0.56  (assume @p1 @t4)
% 0.31/0.56  (assume @p2 true)
% 0.31/0.56  (step @p3 :rule evaluate :args ((<= 39/5 13/4)))
% 0.31/0.56  (step @p4 :rule evaluate :args (@t1))
% 0.31/0.56  (step @p5 :rule evaluate :args (@t2))
% 0.31/0.56  (step @p6 :rule cong :premises (@p5 @p4) :args (@t3))
% 0.31/0.56  (step @p7 :rule trans :premises (@p6 @p3))
% 0.31/0.56  (step @p8 :rule evaluate :args (@t3))
% 0.31/0.56  (step @p9 :rule symm :premises (@p8))
% 0.31/0.56  (step @p10 :rule evaluate :args (@t4))
% 0.31/0.56  (step @p11 :rule trans :premises (@p10 @p9))
% 0.31/0.56  (step @p12 :rule trans :premises (@p11 @p7))
% 0.31/0.56  (step @p13 false :rule eq_resolve :premises (@p1 @p12))
% 0.31/0.56  )
% 0.31/0.56  % SZS output end Proof
% 0.31/0.56  % cvc5 exiting
%------------------------------------------------------------------------------