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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI511_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 08:07:47 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  : ARI511_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 21:28:30 EDT 2026
% 0.07/0.25  % CPUTime  : 
% 0.07/0.33  %----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 () (@var "Y" Real))
% 0.15/0.36  (define @t2 () (/ 5 19))
% 0.15/0.36  (define @t3 () (@list @t1))
% 0.15/0.36  (define @t4 () (exists @t3 (< @t2 @t1)))
% 0.15/0.36  (define @t5 () (not @t4))
% 0.15/0.36  (define @t6 () (* -1/1 @t1))
% 0.15/0.36  (define @t7 () (>= @t6 -5/19))
% 0.15/0.36  (define @t8 () (+ 5/19 1/1))
% 0.15/0.36  (define @t9 () (not @t7))
% 0.15/0.36  (define @t10 () (forall @t3 (not @t9)))
% 0.15/0.36  (define @t11 () (not @t10))
% 0.15/0.36  (define @t12 () (>= @t2 @t1))
% 0.15/0.36  (assume @p1 @t5)
% 0.15/0.36  (assume @p2 true)
% 0.15/0.36  (step @p3 :rule evaluate :args ((not true)))
% 0.15/0.36  (step @p4 :rule evaluate :args ((not false)))
% 0.15/0.36  (assume-push @p33 (forall @t3 @t7))
% 0.15/0.36  (step @p6 :rule evaluate :args ((>= (* -1/1 @t8) -5/19)))
% 0.15/0.36  (step @p7 :rule instantiate :premises (@p33) :args ((@list @t8)))
% 0.15/0.36  (step @p8 false :rule eq_resolve :premises (@p7 @p6))
% 0.15/0.36  (step-pop @p34 :rule scope :premises (@p8))
% 0.15/0.36  (step @p9 :rule process_scope :premises (@p34) :args (false))
% 0.15/0.36  (step @p11 :rule false_intro :premises (@p9))
% 0.15/0.36  (step @p12 :rule bool-double-not-elim :args (@t7))
% 0.15/0.36  (step @p13 :rule cong :premises (@p12) :args (@t10))
% 0.15/0.36  (step @p14 :rule trans :premises (@p13 @p11))
% 0.15/0.36  (step @p15 :rule cong :premises (@p14) :args (@t11))
% 0.15/0.36  (step @p16 :rule trans :premises (@p15 @p4))
% 0.15/0.36  (step @p17 :rule exists-elim :args ((= (exists @t3 @t9) @t11)))
% 0.15/0.36  (step @p18 :rule trans :premises (@p17 @p16))
% 0.15/0.36  (step @p19 :rule arith_poly_norm :args ((= (* 5/19 (- 5/19 @t1)) (* 5/19 (- @t6 -5/19)))))
% 0.15/0.36  (step @p20 :rule arith_poly_norm_rel :premises (@p19) :args ((= (>= 5/19 @t1) @t7)))
% 0.15/0.36  (step @p21 :rule refl :args (@t1))
% 0.15/0.36  (step @p22 :rule evaluate :args (@t2))
% 0.15/0.36  (step @p23 :rule cong :premises (@p22 @p21) :args (@t12))
% 0.15/0.36  (step @p24 :rule trans :premises (@p23 @p20))
% 0.15/0.36  (step @p25 :rule cong :premises (@p24) :args ((not @t12)))
% 0.15/0.36  (step @p26 :rule arith-elim-lt :args (@t2 @t1))
% 0.15/0.36  (step @p27 :rule trans :premises (@p26 @p25))
% 0.15/0.36  (step @p28 :rule cong :premises (@p27) :args (@t4))
% 0.15/0.36  (step @p29 :rule trans :premises (@p28 @p18))
% 0.15/0.36  (step @p30 :rule cong :premises (@p29) :args (@t5))
% 0.15/0.36  (step @p31 :rule trans :premises (@p30 @p3))
% 0.15/0.36  (step @p32 false :rule eq_resolve :premises (@p1 @p31))
% 0.15/0.36  )
% 0.15/0.36  % SZS output end Proof
% 0.15/0.36  % cvc5 exiting
%------------------------------------------------------------------------------