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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI552_1 : TPTP v9.2.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 08:07:51 AM UTC 2026

% Result   : Theorem 0.37s 0.57s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ARI552_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.15  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.36  % Computer : n003.cluster.edu
% 0.17/0.36  % Model    : x86_64 x86_64
% 0.17/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36  % Memory   : 8042.1875MB
% 0.17/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit : 300
% 0.17/0.36  % WCLimit  : 300
% 0.17/0.36  % DateTime : Wed Jun  3 02:29:14 EDT 2026
% 0.17/0.36  % CPUTime  : 
% 0.33/0.51  %----Proving TF0_ARI
% 0.37/0.57  --- Run --finite-model-find --decision=internal at 45...
% 0.37/0.57  % SZS status Theorem
% 0.37/0.57  % SZS output start Proof
% 0.37/0.57  (
% 0.37/0.57  (define @t1 () (- 53))
% 0.37/0.57  (define @t2 () (/ @t1 12))
% 0.37/0.57  (define @t3 () (- 0/1 @t2))
% 0.37/0.57  (define @t4 () (- 35))
% 0.37/0.57  (define @t5 () (/ @t4 4))
% 0.37/0.57  (define @t6 () (< @t5 @t3))
% 0.37/0.57  (define @t7 () (not @t6))
% 0.37/0.57  (define @t8 () (to_real @t1))
% 0.37/0.57  (define @t9 () (* @t8 1/12))
% 0.37/0.57  (define @t10 () (* -1/1 @t2))
% 0.37/0.57  (define @t11 () (+ 0/1 @t10))
% 0.37/0.57  (define @t12 () (to_real @t4))
% 0.37/0.57  (define @t13 () (* @t12 1/4))
% 0.37/0.57  (define @t14 () (>= @t5 @t3))
% 0.37/0.57  (define @t15 () (not @t14))
% 0.37/0.57  (assume @p1 @t7)
% 0.37/0.57  (assume @p2 true)
% 0.37/0.57  (step @p3 :rule evaluate :args ((not true)))
% 0.37/0.57  (step @p4 :rule evaluate :args ((not false)))
% 0.37/0.57  (step @p5 :rule evaluate :args ((>= -35/4 53/12)))
% 0.37/0.57  (step @p6 :rule evaluate :args ((+ 0/1 53/12)))
% 0.37/0.57  (step @p7 :rule evaluate :args ((* -1/1 -53/12)))
% 0.37/0.57  (step @p8 :rule evaluate :args ((* -53/1 1/12)))
% 0.37/0.57  (step @p9 :rule refl :args (1/12))
% 0.37/0.57  (step @p10 :rule evaluate :args ((to_real -53)))
% 0.37/0.57  (step @p11 :rule evaluate :args (@t1))
% 0.37/0.57  (step @p12 :rule cong :premises (@p11) :args (@t8))
% 0.37/0.57  (step @p13 :rule trans :premises (@p12 @p10))
% 0.37/0.57  (step @p14 :rule nary_cong :premises (@p13 @p9) :args (@t9))
% 0.37/0.57  (step @p15 :rule trans :premises (@p14 @p8))
% 0.37/0.57  (step @p16 :rule evaluate :args (@t9))
% 0.37/0.57  (step @p17 :rule symm :premises (@p16))
% 0.37/0.57  (step @p18 :rule evaluate :args (@t2))
% 0.37/0.57  (step @p19 :rule trans :premises (@p18 @p17))
% 0.37/0.57  (step @p20 :rule trans :premises (@p19 @p15))
% 0.37/0.57  (step @p21 :rule refl :args (-1/1))
% 0.37/0.57  (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t10))
% 0.37/0.57  (step @p23 :rule trans :premises (@p22 @p7))
% 0.37/0.57  (step @p24 :rule refl :args (0/1))
% 0.37/0.57  (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t11))
% 0.37/0.57  (step @p26 :rule trans :premises (@p25 @p6))
% 0.37/0.57  (step @p27 :rule evaluate :args (@t11))
% 0.37/0.57  (step @p28 :rule symm :premises (@p27))
% 0.37/0.57  (step @p29 :rule evaluate :args (@t3))
% 0.37/0.57  (step @p30 :rule trans :premises (@p29 @p28))
% 0.37/0.57  (step @p31 :rule trans :premises (@p30 @p26))
% 0.37/0.57  (step @p32 :rule evaluate :args ((* -35/1 1/4)))
% 0.37/0.57  (step @p33 :rule refl :args (1/4))
% 0.37/0.57  (step @p34 :rule evaluate :args ((to_real -35)))
% 0.37/0.57  (step @p35 :rule evaluate :args (@t4))
% 0.37/0.57  (step @p36 :rule cong :premises (@p35) :args (@t12))
% 0.37/0.57  (step @p37 :rule trans :premises (@p36 @p34))
% 0.37/0.57  (step @p38 :rule nary_cong :premises (@p37 @p33) :args (@t13))
% 0.37/0.57  (step @p39 :rule trans :premises (@p38 @p32))
% 0.37/0.57  (step @p40 :rule evaluate :args (@t13))
% 0.37/0.57  (step @p41 :rule symm :premises (@p40))
% 0.37/0.57  (step @p42 :rule evaluate :args (@t5))
% 0.37/0.57  (step @p43 :rule trans :premises (@p42 @p41))
% 0.37/0.57  (step @p44 :rule trans :premises (@p43 @p39))
% 0.37/0.57  (step @p45 :rule cong :premises (@p44 @p31) :args (@t14))
% 0.37/0.57  (step @p46 :rule trans :premises (@p45 @p5))
% 0.37/0.57  (step @p47 :rule cong :premises (@p46) :args (@t15))
% 0.37/0.57  (step @p48 :rule trans :premises (@p47 @p4))
% 0.37/0.57  (step @p49 :rule evaluate :args (@t15))
% 0.37/0.57  (step @p50 :rule symm :premises (@p49))
% 0.37/0.57  (step @p51 :rule evaluate :args (@t6))
% 0.37/0.57  (step @p52 :rule trans :premises (@p51 @p50))
% 0.37/0.57  (step @p53 :rule trans :premises (@p52 @p48))
% 0.37/0.57  (step @p54 :rule cong :premises (@p53) :args (@t7))
% 0.37/0.57  (step @p55 :rule trans :premises (@p54 @p3))
% 0.37/0.57  (step @p56 false :rule eq_resolve :premises (@p1 @p55))
% 0.37/0.57  )
% 0.37/0.57  % SZS output end Proof
% 0.37/0.57  % cvc5 exiting
%------------------------------------------------------------------------------