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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI342_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 : n002.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 08:07:30 AM UTC 2026

% Result   : Theorem 0.37s 0.57s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ARI342_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n002.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Wed Jun  3 02:27:48 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.32/0.51  %----Proving TF0_ARI
% 0.37/0.57  --- Run --finite-model-find --decision=internal at 45...
% 0.37/0.57  % SZS status Theorem
% 0.37/0.57  % SZS output start Proof
% 0.37/0.57  (
% 0.37/0.57  (define @t1 () (- 13))
% 0.37/0.57  (define @t2 () (/ @t1 2))
% 0.37/0.57  (define @t3 () (@var "X" Real))
% 0.37/0.57  (define @t4 () (+ @t3 @t3))
% 0.37/0.57  (define @t5 () (@list @t3))
% 0.37/0.57  (define @t6 () (exists @t5 (< @t4 @t2)))
% 0.37/0.57  (define @t7 () (not @t6))
% 0.37/0.57  (define @t8 () (>= @t3 -13/4))
% 0.37/0.57  (define @t9 () (+ (* -1/1 13/4) -1/1))
% 0.37/0.57  (define @t10 () (not @t8))
% 0.37/0.57  (define @t11 () (forall @t5 (not @t10)))
% 0.37/0.57  (define @t12 () (not @t11))
% 0.37/0.57  (define @t13 () (* 2/1 @t3))
% 0.37/0.57  (define @t14 () (to_real @t1))
% 0.37/0.57  (define @t15 () (* @t14 1/2))
% 0.37/0.57  (define @t16 () (>= @t4 @t2))
% 0.37/0.57  (assume @p1 @t7)
% 0.37/0.57  (assume @p2 true)
% 0.37/0.57  (step @p3 :rule evaluate :args ((not true)))
% 0.37/0.57  (step @p4 :rule evaluate :args ((not false)))
% 0.37/0.57  (assume-push @p45 (forall @t5 @t8))
% 0.37/0.57  (step @p6 :rule evaluate :args ((>= @t9 -13/4)))
% 0.37/0.57  (step @p7 :rule instantiate :premises (@p45) :args ((@list @t9)))
% 0.37/0.57  (step @p8 false :rule eq_resolve :premises (@p7 @p6))
% 0.37/0.57  (step-pop @p46 :rule scope :premises (@p8))
% 0.37/0.57  (step @p9 :rule process_scope :premises (@p46) :args (false))
% 0.37/0.57  (step @p11 :rule false_intro :premises (@p9))
% 0.37/0.57  (step @p12 :rule bool-double-not-elim :args (@t8))
% 0.37/0.57  (step @p13 :rule cong :premises (@p12) :args (@t11))
% 0.37/0.57  (step @p14 :rule trans :premises (@p13 @p11))
% 0.37/0.57  (step @p15 :rule cong :premises (@p14) :args (@t12))
% 0.37/0.57  (step @p16 :rule trans :premises (@p15 @p4))
% 0.37/0.57  (step @p17 :rule exists-elim :args ((= (exists @t5 @t10) @t12)))
% 0.37/0.57  (step @p18 :rule trans :premises (@p17 @p16))
% 0.37/0.57  (step @p19 :rule arith_poly_norm :args ((= (* 13/4 (- @t13 -13/2)) (* 13/2 (- @t3 -13/4)))))
% 0.37/0.57  (step @p20 :rule arith_poly_norm_rel :premises (@p19) :args ((= (>= @t13 -13/2) @t8)))
% 0.37/0.57  (step @p21 :rule evaluate :args ((* -13/1 1/2)))
% 0.37/0.57  (step @p22 :rule refl :args (1/2))
% 0.37/0.57  (step @p23 :rule evaluate :args ((to_real -13)))
% 0.37/0.57  (step @p24 :rule evaluate :args (@t1))
% 0.37/0.57  (step @p25 :rule cong :premises (@p24) :args (@t14))
% 0.37/0.57  (step @p26 :rule trans :premises (@p25 @p23))
% 0.37/0.57  (step @p27 :rule nary_cong :premises (@p26 @p22) :args (@t15))
% 0.37/0.57  (step @p28 :rule trans :premises (@p27 @p21))
% 0.37/0.57  (step @p29 :rule evaluate :args (@t15))
% 0.37/0.57  (step @p30 :rule symm :premises (@p29))
% 0.37/0.57  (step @p31 :rule evaluate :args (@t2))
% 0.37/0.57  (step @p32 :rule trans :premises (@p31 @p30))
% 0.37/0.57  (step @p33 :rule trans :premises (@p32 @p28))
% 0.37/0.57  (step @p34 :rule arith_poly_norm :args ((= @t4 @t13)))
% 0.37/0.57  (step @p35 :rule cong :premises (@p34 @p33) :args (@t16))
% 0.37/0.57  (step @p36 :rule trans :premises (@p35 @p20))
% 0.37/0.57  (step @p37 :rule cong :premises (@p36) :args ((not @t16)))
% 0.37/0.57  (step @p38 :rule arith-elim-lt :args (@t4 @t2))
% 0.37/0.57  (step @p39 :rule trans :premises (@p38 @p37))
% 0.37/0.57  (step @p40 :rule cong :premises (@p39) :args (@t6))
% 0.37/0.57  (step @p41 :rule trans :premises (@p40 @p18))
% 0.37/0.57  (step @p42 :rule cong :premises (@p41) :args (@t7))
% 0.37/0.57  (step @p43 :rule trans :premises (@p42 @p3))
% 0.37/0.57  (step @p44 false :rule eq_resolve :premises (@p1 @p43))
% 0.37/0.57  )
% 0.37/0.57  % SZS output end Proof
% 0.37/0.57  % cvc5 exiting
%------------------------------------------------------------------------------