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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI545_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 : n018.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 08:07:50 AM UTC 2026

% Result   : Theorem 0.33s 0.56s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : ARI545_1 : TPTP v9.2.1. Released v5.0.0.
% 0.13/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n018.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 02:29:20 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.33/0.51  %----Proving TF0_ARI
% 0.33/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.33/0.56  % SZS status Theorem
% 0.33/0.56  % SZS output start Proof
% 0.33/0.56  (
% 0.33/0.56  (define @t1 () (- 13))
% 0.33/0.56  (define @t2 () (@var "X" Int))
% 0.33/0.56  (define @t3 () (+ @t2 @t2))
% 0.33/0.56  (define @t4 () (@list @t2))
% 0.33/0.56  (define @t5 () (exists @t4 (< @t3 @t1)))
% 0.33/0.56  (define @t6 () (not @t5))
% 0.33/0.56  (define @t7 () (>= @t2 -6))
% 0.33/0.56  (define @t8 () (+ (* -1 6) -1))
% 0.33/0.56  (define @t9 () (not @t7))
% 0.33/0.56  (define @t10 () (forall @t4 (not @t9)))
% 0.33/0.56  (define @t11 () (not @t10))
% 0.33/0.56  (define @t12 () (to_int -13/2))
% 0.33/0.56  (define @t13 () (to_real @t2))
% 0.33/0.56  (define @t14 () (* 2 @t2))
% 0.33/0.56  (define @t15 () (>= @t3 @t1))
% 0.33/0.56  (assume @p1 @t6)
% 0.33/0.56  (assume @p2 true)
% 0.33/0.56  (step @p3 :rule evaluate :args ((not true)))
% 0.33/0.56  (step @p4 :rule evaluate :args ((not false)))
% 0.33/0.56  (assume-push @p38 (forall @t4 @t7))
% 0.33/0.56  (step @p6 :rule evaluate :args ((>= @t8 -6)))
% 0.33/0.56  (step @p7 :rule instantiate :premises (@p38) :args ((@list @t8)))
% 0.33/0.56  (step @p8 false :rule eq_resolve :premises (@p7 @p6))
% 0.33/0.56  (step-pop @p39 :rule scope :premises (@p8))
% 0.33/0.56  (step @p9 :rule process_scope :premises (@p39) :args (false))
% 0.33/0.56  (step @p11 :rule false_intro :premises (@p9))
% 0.33/0.56  (step @p12 :rule bool-double-not-elim :args (@t7))
% 0.33/0.56  (step @p13 :rule cong :premises (@p12) :args (@t10))
% 0.33/0.56  (step @p14 :rule trans :premises (@p13 @p11))
% 0.33/0.56  (step @p15 :rule cong :premises (@p14) :args (@t11))
% 0.33/0.56  (step @p16 :rule trans :premises (@p15 @p4))
% 0.33/0.56  (step @p17 :rule exists-elim :args ((= (exists @t4 @t9) @t11)))
% 0.33/0.56  (step @p18 :rule trans :premises (@p17 @p16))
% 0.33/0.56  (step @p19 :rule evaluate :args ((+ @t12 1)))
% 0.33/0.56  (step @p20 :rule symm :premises (@p19))
% 0.33/0.56  (step @p21 :rule evaluate :args ((= (to_real @t12) -13/2)))
% 0.33/0.56  (step @p22 :rule arith-int-geq-tighten :premises (@p21 @p20) :args (@t2 -13/2 -6))
% 0.33/0.56  (step @p23 :rule arith_poly_norm :args ((= (* 13/2 (to_real (- @t14 -13))) (* 13/1 (- @t13 -13/2)))))
% 0.33/0.56  (step @p24 :rule arith_poly_norm_rel :premises (@p23) :args ((= (>= @t14 -13) (>= @t13 -13/2))))
% 0.33/0.56  (step @p25 :rule trans :premises (@p24 @p22))
% 0.33/0.56  (step @p26 :rule evaluate :args (@t1))
% 0.33/0.56  (step @p27 :rule arith_poly_norm :args ((= @t3 @t14)))
% 0.33/0.56  (step @p28 :rule cong :premises (@p27 @p26) :args (@t15))
% 0.33/0.56  (step @p29 :rule trans :premises (@p28 @p25))
% 0.33/0.56  (step @p30 :rule cong :premises (@p29) :args ((not @t15)))
% 0.33/0.56  (step @p31 :rule arith-elim-lt :args (@t3 @t1))
% 0.33/0.56  (step @p32 :rule trans :premises (@p31 @p30))
% 0.33/0.56  (step @p33 :rule cong :premises (@p32) :args (@t5))
% 0.33/0.56  (step @p34 :rule trans :premises (@p33 @p18))
% 0.33/0.56  (step @p35 :rule cong :premises (@p34) :args (@t6))
% 0.33/0.56  (step @p36 :rule trans :premises (@p35 @p3))
% 0.33/0.56  (step @p37 false :rule eq_resolve :premises (@p1 @p36))
% 0.33/0.56  )
% 0.33/0.56  % SZS output end Proof
% 0.33/0.56  % cvc5 exiting
%------------------------------------------------------------------------------