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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI206_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 08:07:17 AM UTC 2026

% Result   : Theorem 0.16s 0.36s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : ARI206_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
% 0.07/0.25  % Computer : n024.cluster.edu
% 0.07/0.25  % Model    : x86_64 x86_64
% 0.07/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25  % Memory   : 8042.1875MB
% 0.07/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25  % CPULimit : 300
% 0.07/0.25  % WCLimit  : 300
% 0.07/0.25  % DateTime : Tue Jun  2 21:26:15 EDT 2026
% 0.07/0.25  % CPUTime  : 
% 0.16/0.33  %----Proving TF0_ARI
% 0.16/0.36  --- Run --finite-model-find --decision=internal at 45...
% 0.16/0.36  % SZS status Theorem
% 0.16/0.36  % SZS output start Proof
% 0.16/0.36  (
% 0.16/0.36  (define @t1 () (/ 19 25))
% 0.16/0.36  (define @t2 () (@var "X" Real))
% 0.16/0.36  (define @t3 () (<= @t2 @t1))
% 0.16/0.36  (define @t4 () (@list @t2))
% 0.16/0.36  (define @t5 () (exists @t4 @t3))
% 0.16/0.36  (define @t6 () (not @t5))
% 0.16/0.36  (define @t7 () (* -1/1 @t2))
% 0.16/0.36  (define @t8 () (>= @t7 -19/25))
% 0.16/0.36  (define @t9 () (forall @t4 (not @t8)))
% 0.16/0.36  (define @t10 () (not @t9))
% 0.16/0.36  (assume @p1 @t6)
% 0.16/0.36  (assume @p2 true)
% 0.16/0.36  (step @p3 :rule evaluate :args ((not true)))
% 0.16/0.36  (step @p4 :rule evaluate :args ((not false)))
% 0.16/0.36  (assume-push @p29 @t9)
% 0.16/0.36  (step @p6 :rule evaluate :args ((not (>= (* -1/1 19/25) -19/25))))
% 0.16/0.36  (step @p7 :rule instantiate :premises (@p29) :args ((@list 19/25)))
% 0.16/0.36  (step @p8 false :rule eq_resolve :premises (@p7 @p6))
% 0.16/0.36  (step-pop @p30 :rule scope :premises (@p8))
% 0.16/0.36  (step @p9 :rule process_scope :premises (@p30) :args (false))
% 0.16/0.36  (step @p11 :rule false_intro :premises (@p9))
% 0.16/0.36  (step @p12 :rule cong :premises (@p11) :args (@t10))
% 0.16/0.36  (step @p13 :rule trans :premises (@p12 @p4))
% 0.16/0.36  (step @p14 :rule exists-elim :args ((= (exists @t4 @t8) @t10)))
% 0.16/0.36  (step @p15 :rule trans :premises (@p14 @p13))
% 0.16/0.36  (step @p16 :rule arith_poly_norm :args ((= (* 19/25 (- 19/25 @t2)) (* 19/25 (- @t7 -19/25)))))
% 0.16/0.36  (step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= (>= 19/25 @t2) @t8)))
% 0.16/0.36  (step @p18 :rule arith-elim-leq :args (@t2 19/25))
% 0.16/0.36  (step @p19 :rule trans :premises (@p18 @p17))
% 0.16/0.36  (step @p20 :rule evaluate :args (@t1))
% 0.16/0.36  (step @p21 :rule refl :args (@t2))
% 0.16/0.36  (step @p22 :rule cong :premises (@p21 @p20) :args (@t3))
% 0.16/0.36  (step @p23 :rule trans :premises (@p22 @p19))
% 0.16/0.36  (step @p24 :rule cong :premises (@p23) :args (@t5))
% 0.16/0.36  (step @p25 :rule trans :premises (@p24 @p15))
% 0.16/0.36  (step @p26 :rule cong :premises (@p25) :args (@t6))
% 0.16/0.36  (step @p27 :rule trans :premises (@p26 @p3))
% 0.16/0.36  (step @p28 false :rule eq_resolve :premises (@p1 @p27))
% 0.16/0.36  )
% 0.16/0.36  % SZS output end Proof
% 0.16/0.36  % cvc5 exiting
%------------------------------------------------------------------------------