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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI367_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 : n014.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 08:07:33 AM UTC 2026

% Result   : Theorem 0.32s 0.56s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI367_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
% 0.16/0.35  % Computer : n014.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 : Wed Jun  3 02:28:13 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.32/0.50  %----Proving TF0_ARI
% 0.32/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.32/0.56  % SZS status Theorem
% 0.32/0.56  % SZS output start Proof
% 0.32/0.56  (
% 0.32/0.56  (define @t1 () (- 13))
% 0.32/0.56  (define @t2 () (/ @t1 4))
% 0.32/0.56  (define @t3 () (/ 13 4))
% 0.32/0.56  (define @t4 () (<= @t3 @t2))
% 0.32/0.56  (define @t5 () (not (not @t4)))
% 0.32/0.56  (define @t6 () (to_real @t1))
% 0.32/0.56  (define @t7 () (* @t6 1/4))
% 0.32/0.56  (assume @p1 @t5)
% 0.32/0.56  (assume @p2 true)
% 0.32/0.56  (step @p3 :rule evaluate :args ((<= 13/4 -13/4)))
% 0.32/0.56  (step @p4 :rule evaluate :args ((* -13/1 1/4)))
% 0.32/0.56  (step @p5 :rule refl :args (1/4))
% 0.32/0.56  (step @p6 :rule evaluate :args ((to_real -13)))
% 0.32/0.56  (step @p7 :rule evaluate :args (@t1))
% 0.32/0.56  (step @p8 :rule cong :premises (@p7) :args (@t6))
% 0.32/0.56  (step @p9 :rule trans :premises (@p8 @p6))
% 0.32/0.56  (step @p10 :rule nary_cong :premises (@p9 @p5) :args (@t7))
% 0.32/0.56  (step @p11 :rule trans :premises (@p10 @p4))
% 0.32/0.56  (step @p12 :rule evaluate :args (@t7))
% 0.32/0.56  (step @p13 :rule symm :premises (@p12))
% 0.32/0.56  (step @p14 :rule evaluate :args (@t2))
% 0.32/0.56  (step @p15 :rule trans :premises (@p14 @p13))
% 0.32/0.56  (step @p16 :rule trans :premises (@p15 @p11))
% 0.32/0.56  (step @p17 :rule evaluate :args (@t3))
% 0.32/0.56  (step @p18 :rule cong :premises (@p17 @p16) :args (@t4))
% 0.32/0.56  (step @p19 :rule trans :premises (@p18 @p3))
% 0.32/0.56  (step @p20 :rule evaluate :args (@t4))
% 0.32/0.56  (step @p21 :rule symm :premises (@p20))
% 0.32/0.56  (step @p22 :rule evaluate :args (@t5))
% 0.32/0.56  (step @p23 :rule trans :premises (@p22 @p21))
% 0.32/0.56  (step @p24 :rule trans :premises (@p23 @p19))
% 0.32/0.56  (step @p25 false :rule eq_resolve :premises (@p1 @p24))
% 0.32/0.56  )
% 0.32/0.56  % SZS output end Proof
% 0.32/0.56  % cvc5 exiting
%------------------------------------------------------------------------------