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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI555_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 : n016.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 0.31s 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  : ARI555_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 : n016.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 02:29:54 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 () (- 9))
% 0.31/0.56  (define @t2 () (/ @t1 50))
% 0.31/0.56  (define @t3 () (- 1))
% 0.31/0.56  (define @t4 () (/ @t3 4))
% 0.31/0.56  (define @t5 () (- 18))
% 0.31/0.56  (define @t6 () (/ @t5 25))
% 0.31/0.56  (define @t7 () (* @t6 @t4))
% 0.31/0.56  (define @t8 () (- @t7))
% 0.31/0.56  (define @t9 () (>= @t8 @t2))
% 0.31/0.56  (define @t10 () (not @t9))
% 0.31/0.56  (define @t11 () (to_real @t1))
% 0.31/0.56  (define @t12 () (* @t11 1/50))
% 0.31/0.56  (define @t13 () (to_real @t3))
% 0.31/0.56  (define @t14 () (* @t13 1/4))
% 0.31/0.56  (define @t15 () (to_real @t5))
% 0.31/0.56  (define @t16 () (* @t15 1/25))
% 0.31/0.56  (define @t17 () (* -1/1 @t7))
% 0.31/0.56  (assume @p1 @t10)
% 0.31/0.56  (assume @p2 true)
% 0.31/0.56  (step @p3 :rule evaluate :args ((not true)))
% 0.31/0.56  (step @p4 :rule evaluate :args ((>= -9/50 -9/50)))
% 0.31/0.56  (step @p5 :rule evaluate :args ((* -9/1 1/50)))
% 0.31/0.56  (step @p6 :rule refl :args (1/50))
% 0.31/0.56  (step @p7 :rule evaluate :args ((to_real -9)))
% 0.31/0.56  (step @p8 :rule evaluate :args (@t1))
% 0.31/0.56  (step @p9 :rule cong :premises (@p8) :args (@t11))
% 0.31/0.56  (step @p10 :rule trans :premises (@p9 @p7))
% 0.31/0.56  (step @p11 :rule nary_cong :premises (@p10 @p6) :args (@t12))
% 0.31/0.56  (step @p12 :rule trans :premises (@p11 @p5))
% 0.31/0.56  (step @p13 :rule evaluate :args (@t12))
% 0.31/0.56  (step @p14 :rule symm :premises (@p13))
% 0.31/0.56  (step @p15 :rule evaluate :args (@t2))
% 0.31/0.56  (step @p16 :rule trans :premises (@p15 @p14))
% 0.31/0.56  (step @p17 :rule trans :premises (@p16 @p12))
% 0.31/0.56  (step @p18 :rule evaluate :args ((* -1/1 9/50)))
% 0.31/0.56  (step @p19 :rule evaluate :args ((* -18/25 -1/4)))
% 0.31/0.56  (step @p20 :rule evaluate :args ((* -1/1 1/4)))
% 0.31/0.56  (step @p21 :rule refl :args (1/4))
% 0.31/0.56  (step @p22 :rule evaluate :args ((to_real -1)))
% 0.31/0.56  (step @p23 :rule evaluate :args (@t3))
% 0.31/0.56  (step @p24 :rule cong :premises (@p23) :args (@t13))
% 0.31/0.56  (step @p25 :rule trans :premises (@p24 @p22))
% 0.31/0.56  (step @p26 :rule nary_cong :premises (@p25 @p21) :args (@t14))
% 0.31/0.56  (step @p27 :rule trans :premises (@p26 @p20))
% 0.31/0.56  (step @p28 :rule evaluate :args (@t14))
% 0.31/0.56  (step @p29 :rule symm :premises (@p28))
% 0.31/0.56  (step @p30 :rule evaluate :args (@t4))
% 0.31/0.56  (step @p31 :rule trans :premises (@p30 @p29))
% 0.31/0.56  (step @p32 :rule trans :premises (@p31 @p27))
% 0.31/0.56  (step @p33 :rule evaluate :args ((* -18/1 1/25)))
% 0.31/0.56  (step @p34 :rule refl :args (1/25))
% 0.31/0.56  (step @p35 :rule evaluate :args ((to_real -18)))
% 0.31/0.56  (step @p36 :rule evaluate :args (@t5))
% 0.31/0.56  (step @p37 :rule cong :premises (@p36) :args (@t15))
% 0.31/0.56  (step @p38 :rule trans :premises (@p37 @p35))
% 0.31/0.56  (step @p39 :rule nary_cong :premises (@p38 @p34) :args (@t16))
% 0.31/0.56  (step @p40 :rule trans :premises (@p39 @p33))
% 0.31/0.56  (step @p41 :rule evaluate :args (@t16))
% 0.31/0.56  (step @p42 :rule symm :premises (@p41))
% 0.31/0.56  (step @p43 :rule evaluate :args (@t6))
% 0.31/0.56  (step @p44 :rule trans :premises (@p43 @p42))
% 0.31/0.56  (step @p45 :rule trans :premises (@p44 @p40))
% 0.31/0.56  (step @p46 :rule nary_cong :premises (@p45 @p32) :args (@t7))
% 0.31/0.56  (step @p47 :rule trans :premises (@p46 @p19))
% 0.31/0.56  (step @p48 :rule refl :args (-1/1))
% 0.31/0.56  (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t17))
% 0.31/0.56  (step @p50 :rule trans :premises (@p49 @p18))
% 0.31/0.56  (step @p51 :rule evaluate :args (@t17))
% 0.31/0.56  (step @p52 :rule symm :premises (@p51))
% 0.31/0.56  (step @p53 :rule evaluate :args (@t8))
% 0.31/0.56  (step @p54 :rule trans :premises (@p53 @p52))
% 0.31/0.56  (step @p55 :rule trans :premises (@p54 @p50))
% 0.31/0.56  (step @p56 :rule cong :premises (@p55 @p17) :args (@t9))
% 0.31/0.57  (step @p57 :rule trans :premises (@p56 @p4))
% 0.31/0.57  (step @p58 :rule cong :premises (@p57) :args (@t10))
% 0.31/0.57  (step @p59 :rule trans :premises (@p58 @p3))
% 0.31/0.57  (step @p60 false :rule eq_resolve :premises (@p1 @p59))
% 0.31/0.57  )
% 0.31/0.57  % SZS output end Proof
% 0.31/0.57  % cvc5 exiting
%------------------------------------------------------------------------------