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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI174_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 : n027.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 08:07:14 AM UTC 2026

% Result   : Theorem 0.33s 0.57s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ARI174_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
% 0.19/0.35  % Computer : n027.cluster.edu
% 0.19/0.35  % Model    : x86_64 x86_64
% 0.19/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35  % Memory   : 8042.1875MB
% 0.19/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35  % CPULimit : 300
% 0.19/0.35  % WCLimit  : 300
% 0.19/0.35  % DateTime : Wed Jun  3 02:26:21 EDT 2026
% 0.19/0.36  % CPUTime  : 
% 0.33/0.51  %----Proving TF0_ARI
% 0.33/0.57  --- Run --finite-model-find --decision=internal at 45...
% 0.33/0.57  % SZS status Theorem
% 0.33/0.57  % SZS output start Proof
% 0.33/0.57  (
% 0.33/0.57  (define @t1 () (@var "V" Int))
% 0.33/0.57  (define @t2 () (@var "U" Int))
% 0.33/0.57  (define @t3 () (* 3 @t2))
% 0.33/0.57  (define @t4 () (+ @t3 (* 5 @t1)))
% 0.33/0.57  (define @t5 () (= @t4 24))
% 0.33/0.57  (define @t6 () (@list @t2 @t1))
% 0.33/0.57  (define @t7 () (exists @t6 @t5))
% 0.33/0.57  (define @t8 () (not @t7))
% 0.33/0.57  (define @t9 () (+ 24 (* -5 @t1)))
% 0.33/0.57  (define @t10 () (= @t3 @t9))
% 0.33/0.57  (define @t11 () (forall @t6 (not @t10)))
% 0.33/0.57  (define @t12 () (* -5 0))
% 0.33/0.57  (define @t13 () (+ 24 @t12))
% 0.33/0.57  (define @t14 () (* -1 -8))
% 0.33/0.57  (define @t15 () (* 3 @t14))
% 0.33/0.57  (define @t16 () (= @t15 @t13))
% 0.33/0.57  (define @t17 () (not @t16))
% 0.33/0.57  (assume @p1 @t8)
% 0.33/0.57  (assume @p2 true)
% 0.33/0.57  (step @p3 :rule bool-double-not-elim :args (@t11))
% 0.33/0.57  (step @p4 :rule exists-elim :args ((= (exists @t6 @t10) (not @t11))))
% 0.33/0.57  (step @p5 :rule arith_poly_norm :args ((= (* -24 (- @t4 24)) (* -24 (- @t3 @t9)))))
% 0.33/0.57  (step @p6 :rule arith_poly_norm_rel :premises (@p5) :args ((= @t5 @t10)))
% 0.33/0.57  (step @p7 :rule cong :premises (@p6) :args (@t7))
% 0.33/0.57  (step @p8 :rule trans :premises (@p7 @p4))
% 0.33/0.57  (step @p9 :rule cong :premises (@p8) :args (@t8))
% 0.33/0.57  (step @p10 :rule trans :premises (@p9 @p3))
% 0.33/0.57  (step @p11 :rule eq_resolve :premises (@p1 @p10))
% 0.33/0.57  (step @p12 :rule bool-impl-false1 :args (@t11))
% 0.33/0.57  (step @p13 :rule evaluate :args ((not true)))
% 0.33/0.57  (step @p14 :rule evaluate :args ((= 24 24)))
% 0.33/0.57  (step @p15 :rule evaluate :args ((+ 24 0)))
% 0.33/0.57  (step @p16 :rule evaluate :args (@t12))
% 0.33/0.57  (step @p17 :rule refl :args (24))
% 0.33/0.57  (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t13))
% 0.33/0.57  (step @p19 :rule trans :premises (@p18 @p15))
% 0.33/0.57  (step @p20 :rule evaluate :args ((* 3 8)))
% 0.33/0.57  (step @p21 :rule evaluate :args (@t14))
% 0.33/0.57  (step @p22 :rule refl :args (3))
% 0.33/0.57  (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t15))
% 0.33/0.57  (step @p24 :rule trans :premises (@p23 @p20))
% 0.33/0.57  (step @p25 :rule cong :premises (@p24 @p19) :args (@t16))
% 0.33/0.57  (step @p26 :rule trans :premises (@p25 @p14))
% 0.33/0.57  (step @p27 :rule cong :premises (@p26) :args (@t17))
% 0.33/0.57  (step @p28 :rule trans :premises (@p27 @p13))
% 0.33/0.57  (step @p29 :rule refl :args (@t11))
% 0.33/0.57  (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t11 @t17)))
% 0.33/0.57  (step @p31 :rule trans :premises (@p30 @p12))
% 0.33/0.57  (assume-push @p38 @t11)
% 0.33/0.57  (step @p33 :rule instantiate :premises (@p11) :args ((@list @t14 0)))
% 0.33/0.57  (step-pop @p39 :rule scope :premises (@p33))
% 0.33/0.57  (step @p34 :rule process_scope :premises (@p39) :args (@t17))
% 0.33/0.57  (step @p36 :rule eq_resolve :premises (@p34 @p31))
% 0.33/0.57  (step @p37 false :rule chain_m_resolution :premises (@p36 @p11) :args (false (@list false) (@list @t11)))
% 0.33/0.57  )
% 0.33/0.57  % SZS output end Proof
% 0.33/0.57  % cvc5 exiting
%------------------------------------------------------------------------------