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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI303_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 : n024.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 08:07:28 AM UTC 2026

% Result   : Theorem 0.15s 0.36s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : ARI303_1 : TPTP v9.2.1. Released v5.0.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.25  % Computer : n024.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Tue Jun  2 21:27:15 EDT 2026
% 0.06/0.25  % CPUTime  : 
% 0.06/0.33  %----Proving TF0_ARI
% 0.15/0.36  --- Run --finite-model-find --decision=internal at 45...
% 0.15/0.36  % SZS status Theorem
% 0.15/0.36  % SZS output start Proof
% 0.15/0.36  (
% 0.15/0.36  (define @t1 () (/ 3 4))
% 0.15/0.36  (define @t2 () (- 4))
% 0.15/0.36  (define @t3 () (/ @t2 5))
% 0.15/0.36  (define @t4 () (- 15))
% 0.15/0.36  (define @t5 () (/ @t4 16))
% 0.15/0.36  (define @t6 () (* @t5 @t3))
% 0.15/0.36  (define @t7 () (= @t6 @t1))
% 0.15/0.36  (define @t8 () (@list (@var "X" Real)))
% 0.15/0.36  (define @t9 () (exists @t8 @t7))
% 0.15/0.36  (define @t10 () (not @t9))
% 0.15/0.36  (define @t11 () (not true))
% 0.15/0.36  (define @t12 () (forall @t8 @t11))
% 0.15/0.36  (define @t13 () (not @t12))
% 0.15/0.36  (define @t14 () (to_real @t2))
% 0.15/0.36  (define @t15 () (* @t14 1/5))
% 0.15/0.36  (define @t16 () (to_real @t4))
% 0.15/0.36  (define @t17 () (* @t16 1/16))
% 0.15/0.36  (assume @p1 @t10)
% 0.15/0.36  (assume @p2 true)
% 0.15/0.36  (step @p3 :rule evaluate :args (@t11))
% 0.15/0.36  (step @p4 :rule evaluate :args ((not false)))
% 0.15/0.36  (step @p5 :rule quant-unused-vars :args ((= (forall @t8 false) false)))
% 0.15/0.36  (step @p6 :rule cong :premises (@p3) :args (@t12))
% 0.15/0.36  (step @p7 :rule trans :premises (@p6 @p5))
% 0.15/0.36  (step @p8 :rule cong :premises (@p7) :args (@t13))
% 0.15/0.36  (step @p9 :rule trans :premises (@p8 @p4))
% 0.15/0.36  (step @p10 :rule exists-elim :args ((= (exists @t8 true) @t13)))
% 0.15/0.36  (step @p11 :rule trans :premises (@p10 @p9))
% 0.15/0.36  (step @p12 :rule evaluate :args ((= 3/4 3/4)))
% 0.15/0.36  (step @p13 :rule evaluate :args (@t1))
% 0.15/0.36  (step @p14 :rule evaluate :args ((* -15/16 -4/5)))
% 0.15/0.36  (step @p15 :rule evaluate :args ((* -4/1 1/5)))
% 0.15/0.36  (step @p16 :rule refl :args (1/5))
% 0.15/0.36  (step @p17 :rule evaluate :args ((to_real -4)))
% 0.15/0.36  (step @p18 :rule evaluate :args (@t2))
% 0.15/0.36  (step @p19 :rule cong :premises (@p18) :args (@t14))
% 0.15/0.36  (step @p20 :rule trans :premises (@p19 @p17))
% 0.15/0.36  (step @p21 :rule nary_cong :premises (@p20 @p16) :args (@t15))
% 0.15/0.36  (step @p22 :rule trans :premises (@p21 @p15))
% 0.15/0.36  (step @p23 :rule evaluate :args (@t15))
% 0.15/0.36  (step @p24 :rule symm :premises (@p23))
% 0.15/0.36  (step @p25 :rule evaluate :args (@t3))
% 0.15/0.36  (step @p26 :rule trans :premises (@p25 @p24))
% 0.15/0.36  (step @p27 :rule trans :premises (@p26 @p22))
% 0.15/0.36  (step @p28 :rule evaluate :args ((* -15/1 1/16)))
% 0.15/0.36  (step @p29 :rule refl :args (1/16))
% 0.15/0.36  (step @p30 :rule evaluate :args ((to_real -15)))
% 0.15/0.36  (step @p31 :rule evaluate :args (@t4))
% 0.15/0.36  (step @p32 :rule cong :premises (@p31) :args (@t16))
% 0.15/0.36  (step @p33 :rule trans :premises (@p32 @p30))
% 0.15/0.36  (step @p34 :rule nary_cong :premises (@p33 @p29) :args (@t17))
% 0.15/0.36  (step @p35 :rule trans :premises (@p34 @p28))
% 0.15/0.36  (step @p36 :rule evaluate :args (@t17))
% 0.15/0.36  (step @p37 :rule symm :premises (@p36))
% 0.15/0.36  (step @p38 :rule evaluate :args (@t5))
% 0.15/0.36  (step @p39 :rule trans :premises (@p38 @p37))
% 0.15/0.36  (step @p40 :rule trans :premises (@p39 @p35))
% 0.15/0.36  (step @p41 :rule nary_cong :premises (@p40 @p27) :args (@t6))
% 0.15/0.36  (step @p42 :rule trans :premises (@p41 @p14))
% 0.15/0.36  (step @p43 :rule cong :premises (@p42 @p13) :args (@t7))
% 0.15/0.36  (step @p44 :rule trans :premises (@p43 @p12))
% 0.15/0.36  (step @p45 :rule cong :premises (@p44) :args (@t9))
% 0.15/0.36  (step @p46 :rule trans :premises (@p45 @p11))
% 0.15/0.36  (step @p47 :rule cong :premises (@p46) :args (@t10))
% 0.15/0.36  (step @p48 :rule trans :premises (@p47 @p3))
% 0.15/0.36  (step @p49 false :rule eq_resolve :premises (@p1 @p48))
% 0.15/0.36  )
% 0.15/0.36  % SZS output end Proof
% 0.15/0.36  % cvc5 exiting
%------------------------------------------------------------------------------