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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI369_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 : n005.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 08:07:33 AM UTC 2026

% Result   : Theorem 0.32s 0.56s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ARI369_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 : n005.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 02:27:48 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.32/0.51  %----Proving TF0_ARI
% 0.32/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.32/0.56  % SZS status Theorem
% 0.32/0.56  % SZS output start Proof
% 0.32/0.56  (
% 0.32/0.56  (define @t1 () (@var "X" Real))
% 0.32/0.56  (define @t2 () (@list @t1))
% 0.32/0.56  (define @t3 () (exists @t2 (<= @t1 0/1)))
% 0.32/0.56  (define @t4 () (not @t3))
% 0.32/0.56  (define @t5 () (* -1/1 @t1))
% 0.32/0.56  (define @t6 () (>= @t5 0/1))
% 0.32/0.56  (define @t7 () (forall @t2 (not @t6)))
% 0.32/0.56  (define @t8 () (not @t7))
% 0.32/0.56  (assume @p1 @t4)
% 0.32/0.56  (assume @p2 true)
% 0.32/0.56  (step @p3 :rule evaluate :args ((not true)))
% 0.32/0.56  (step @p4 :rule evaluate :args ((not false)))
% 0.32/0.56  (assume-push @p25 @t7)
% 0.32/0.56  (step @p6 :rule evaluate :args ((not (>= (* -1/1 0/1) 0/1))))
% 0.32/0.56  (step @p7 :rule instantiate :premises (@p25) :args ((@list 0/1)))
% 0.32/0.56  (step @p8 false :rule eq_resolve :premises (@p7 @p6))
% 0.32/0.56  (step-pop @p26 :rule scope :premises (@p8))
% 0.32/0.56  (step @p9 :rule process_scope :premises (@p26) :args (false))
% 0.32/0.56  (step @p11 :rule false_intro :premises (@p9))
% 0.32/0.56  (step @p12 :rule cong :premises (@p11) :args (@t8))
% 0.32/0.56  (step @p13 :rule trans :premises (@p12 @p4))
% 0.32/0.56  (step @p14 :rule exists-elim :args ((= (exists @t2 @t6) @t8)))
% 0.32/0.56  (step @p15 :rule trans :premises (@p14 @p13))
% 0.32/0.56  (step @p16 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t1)) (* -1/1 (- @t5 0/1)))))
% 0.32/0.56  (step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= (>= 0/1 @t1) @t6)))
% 0.32/0.56  (step @p18 :rule arith-elim-leq :args (@t1 0/1))
% 0.32/0.56  (step @p19 :rule trans :premises (@p18 @p17))
% 0.32/0.56  (step @p20 :rule cong :premises (@p19) :args (@t3))
% 0.32/0.56  (step @p21 :rule trans :premises (@p20 @p15))
% 0.32/0.56  (step @p22 :rule cong :premises (@p21) :args (@t4))
% 0.32/0.56  (step @p23 :rule trans :premises (@p22 @p3))
% 0.32/0.56  (step @p24 false :rule eq_resolve :premises (@p1 @p23))
% 0.32/0.56  )
% 0.32/0.56  % SZS output end Proof
% 0.32/0.56  % cvc5 exiting
%------------------------------------------------------------------------------