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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI177_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 : n021.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 0.31s 0.54s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI177_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
% 0.16/0.34  % Computer : n021.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Wed Jun  3 02:27:20 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.48  %----Proving TF0_ARI
% 0.31/0.54  --- Run --finite-model-find --decision=internal at 45...
% 0.31/0.54  % SZS status Theorem
% 0.31/0.54  % SZS output start Proof
% 0.31/0.54  (
% 0.31/0.54  (define @t1 () (@var "V" Int))
% 0.31/0.54  (define @t2 () (@var "U" Int))
% 0.31/0.54  (define @t3 () (+ (* 4 @t2) (* 6 @t1)))
% 0.31/0.54  (define @t4 () (= @t3 21))
% 0.31/0.54  (define @t5 () (not @t4))
% 0.31/0.54  (define @t6 () (@list @t2 @t1))
% 0.31/0.54  (define @t7 () (forall @t6 @t5))
% 0.31/0.54  (define @t8 () (not @t7))
% 0.31/0.54  (define @t9 () (+ (* 2 @t2) (* 3 @t1)))
% 0.31/0.54  (define @t10 () (to_real @t9))
% 0.31/0.54  (define @t11 () (to_real 21))
% 0.31/0.54  (define @t12 () (to_real @t3))
% 0.31/0.54  (define @t13 () (- @t12 @t11))
% 0.31/0.54  (define @t14 () (= @t12 @t11))
% 0.31/0.54  (assume @p1 @t8)
% 0.31/0.54  (assume @p2 true)
% 0.31/0.54  (step @p3 :rule evaluate :args ((not true)))
% 0.31/0.54  (step @p4 :rule quant-unused-vars :args ((= (forall @t6 true) true)))
% 0.31/0.54  (step @p5 :rule evaluate :args ((not false)))
% 0.31/0.54  (step @p6 :rule evaluate :args ((= (to_real (to_int 21/2)) 21/2)))
% 0.31/0.54  (step @p7 :rule arith-int-eq-conflict :premises (@p6) :args (@t9 21/2))
% 0.31/0.54  (step @p8 :rule arith_poly_norm :args ((= (* -21/2 @t13) (* -21/1 (- @t10 21/2)))))
% 0.31/0.54  (step @p9 :rule arith_poly_norm_rel :premises (@p8) :args ((= @t14 (= @t10 21/2))))
% 0.31/0.54  (step @p10 :rule arith_poly_norm :args ((= (* -21/1 (to_real (- @t3 21))) (* -21/1 @t13))))
% 0.31/0.54  (step @p11 :rule arith_poly_norm_rel :premises (@p10) :args ((= @t4 @t14)))
% 0.31/0.54  (step @p12 :rule trans :premises (@p11 @p9 @p7))
% 0.31/0.54  (step @p13 :rule cong :premises (@p12) :args (@t5))
% 0.31/0.54  (step @p14 :rule trans :premises (@p13 @p5))
% 0.31/0.54  (step @p15 :rule cong :premises (@p14) :args (@t7))
% 0.31/0.54  (step @p16 :rule trans :premises (@p15 @p4))
% 0.31/0.54  (step @p17 :rule cong :premises (@p16) :args (@t8))
% 0.31/0.54  (step @p18 :rule trans :premises (@p17 @p3))
% 0.31/0.54  (step @p19 false :rule eq_resolve :premises (@p1 @p18))
% 0.31/0.54  )
% 0.31/0.54  % SZS output end Proof
% 0.31/0.54  % cvc5 exiting
%------------------------------------------------------------------------------