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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI202_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 : n011.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 0.37s 0.59s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI202_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n011.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Wed Jun  3 02:26:05 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.28/0.53  %----Proving TF0_ARI
% 0.37/0.59  --- Run --finite-model-find --decision=internal at 45...
% 0.37/0.59  % SZS status Theorem
% 0.37/0.59  % SZS output start Proof
% 0.37/0.59  (
% 0.37/0.59  (define @t1 () (@var "X" Real))
% 0.37/0.59  (define @t2 () (- 13))
% 0.37/0.59  (define @t3 () (/ @t2 4))
% 0.37/0.59  (define @t4 () (@list @t1))
% 0.37/0.59  (define @t5 () (exists @t4 (< @t3 @t1)))
% 0.37/0.59  (define @t6 () (not @t5))
% 0.37/0.59  (define @t7 () (* -1/1 @t1))
% 0.37/0.59  (define @t8 () (>= @t7 13/4))
% 0.37/0.59  (define @t9 () (+ -13/4 1/1))
% 0.37/0.59  (define @t10 () (not @t8))
% 0.37/0.59  (define @t11 () (forall @t4 (not @t10)))
% 0.37/0.59  (define @t12 () (not @t11))
% 0.37/0.59  (define @t13 () (to_real @t2))
% 0.37/0.59  (define @t14 () (* @t13 1/4))
% 0.37/0.59  (define @t15 () (>= @t3 @t1))
% 0.37/0.59  (assume @p1 @t6)
% 0.37/0.59  (assume @p2 true)
% 0.37/0.59  (step @p3 :rule evaluate :args ((not true)))
% 0.37/0.59  (step @p4 :rule evaluate :args ((not false)))
% 0.37/0.59  (assume-push @p45 (forall @t4 @t8))
% 0.37/0.59  (step @p6 :rule evaluate :args ((>= (* -1/1 @t9) 13/4)))
% 0.37/0.59  (step @p7 :rule instantiate :premises (@p45) :args ((@list @t9)))
% 0.37/0.59  (step @p8 false :rule eq_resolve :premises (@p7 @p6))
% 0.37/0.59  (step-pop @p46 :rule scope :premises (@p8))
% 0.37/0.59  (step @p9 :rule process_scope :premises (@p46) :args (false))
% 0.37/0.59  (step @p11 :rule false_intro :premises (@p9))
% 0.37/0.59  (step @p12 :rule bool-double-not-elim :args (@t8))
% 0.37/0.59  (step @p13 :rule cong :premises (@p12) :args (@t11))
% 0.37/0.59  (step @p14 :rule trans :premises (@p13 @p11))
% 0.37/0.59  (step @p15 :rule cong :premises (@p14) :args (@t12))
% 0.37/0.59  (step @p16 :rule trans :premises (@p15 @p4))
% 0.37/0.59  (step @p17 :rule exists-elim :args ((= (exists @t4 @t10) @t12)))
% 0.37/0.59  (step @p18 :rule trans :premises (@p17 @p16))
% 0.37/0.59  (step @p19 :rule arith_poly_norm :args ((= (* -13/4 (- -13/4 @t1)) (* -13/4 (- @t7 13/4)))))
% 0.37/0.59  (step @p20 :rule arith_poly_norm_rel :premises (@p19) :args ((= (>= -13/4 @t1) @t8)))
% 0.37/0.59  (step @p21 :rule refl :args (@t1))
% 0.37/0.59  (step @p22 :rule evaluate :args ((* -13/1 1/4)))
% 0.37/0.59  (step @p23 :rule refl :args (1/4))
% 0.37/0.59  (step @p24 :rule evaluate :args ((to_real -13)))
% 0.37/0.59  (step @p25 :rule evaluate :args (@t2))
% 0.37/0.59  (step @p26 :rule cong :premises (@p25) :args (@t13))
% 0.37/0.59  (step @p27 :rule trans :premises (@p26 @p24))
% 0.37/0.59  (step @p28 :rule nary_cong :premises (@p27 @p23) :args (@t14))
% 0.37/0.59  (step @p29 :rule trans :premises (@p28 @p22))
% 0.37/0.59  (step @p30 :rule evaluate :args (@t14))
% 0.37/0.59  (step @p31 :rule symm :premises (@p30))
% 0.37/0.59  (step @p32 :rule evaluate :args (@t3))
% 0.37/0.59  (step @p33 :rule trans :premises (@p32 @p31))
% 0.37/0.59  (step @p34 :rule trans :premises (@p33 @p29))
% 0.37/0.59  (step @p35 :rule cong :premises (@p34 @p21) :args (@t15))
% 0.37/0.59  (step @p36 :rule trans :premises (@p35 @p20))
% 0.37/0.59  (step @p37 :rule cong :premises (@p36) :args ((not @t15)))
% 0.37/0.59  (step @p38 :rule arith-elim-lt :args (@t3 @t1))
% 0.37/0.59  (step @p39 :rule trans :premises (@p38 @p37))
% 0.37/0.59  (step @p40 :rule cong :premises (@p39) :args (@t5))
% 0.37/0.59  (step @p41 :rule trans :premises (@p40 @p18))
% 0.37/0.59  (step @p42 :rule cong :premises (@p41) :args (@t6))
% 0.37/0.59  (step @p43 :rule trans :premises (@p42 @p3))
% 0.37/0.59  (step @p44 false :rule eq_resolve :premises (@p1 @p43))
% 0.37/0.59  )
% 0.37/0.59  % SZS output end Proof
% 0.37/0.59  % cvc5 exiting
%------------------------------------------------------------------------------