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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI448_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 : n001.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 08:07:42 AM UTC 2026

% Result   : Theorem 0.39s 0.56s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI448_1 : TPTP v9.2.1. Released v5.0.0.
% 0.13/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.35  % Computer : n001.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 02:29:20 EDT 2026
% 0.19/0.35  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_ARI
% 0.39/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.39/0.56  % SZS status Theorem
% 0.39/0.56  % SZS output start Proof
% 0.39/0.56  (
% 0.39/0.56  (define @t1 () (/ 29 4))
% 0.39/0.56  (define @t2 () (@var "X" Real))
% 0.39/0.56  (define @t3 () (= @t2 @t1))
% 0.39/0.56  (define @t4 () (* @t2 4/1))
% 0.39/0.56  (define @t5 () (= @t4 29/1))
% 0.39/0.56  (define @t6 () (=> @t5 @t3))
% 0.39/0.56  (define @t7 () (@list @t2))
% 0.39/0.56  (define @t8 () (forall @t7 @t6))
% 0.39/0.56  (define @t9 () (not @t8))
% 0.39/0.56  (define @t10 () (= @t2 29/4))
% 0.39/0.56  (define @t11 () (* 4/1 @t2))
% 0.39/0.56  (assume @p1 @t9)
% 0.39/0.56  (assume @p2 true)
% 0.39/0.56  (step @p3 :rule evaluate :args ((not true)))
% 0.39/0.56  (step @p4 :rule quant-unused-vars :args ((= (forall @t7 true) true)))
% 0.39/0.56  (step @p5 :rule bool-or-taut2 :args (false @t10 false false))
% 0.39/0.56  (step @p6 :rule bool-impl-elim :args (@t10 @t10))
% 0.39/0.56  (step @p7 :rule trans :premises (@p6 @p5))
% 0.39/0.56  (step @p8 :rule cong :premises (@p7) :args ((forall @t7 (=> @t10 @t10))))
% 0.39/0.56  (step @p9 :rule trans :premises (@p8 @p4))
% 0.39/0.56  (step @p10 :rule evaluate :args (@t1))
% 0.39/0.56  (step @p11 :rule refl :args (@t2))
% 0.39/0.56  (step @p12 :rule cong :premises (@p11 @p10) :args (@t3))
% 0.39/0.56  (step @p13 :rule arith_poly_norm :args ((= (* -29/4 (- @t11 29/1)) (* -29/1 (- @t2 29/4)))))
% 0.39/0.56  (step @p14 :rule arith_poly_norm_rel :premises (@p13) :args ((= (= @t11 29/1) @t10)))
% 0.39/0.56  (step @p15 :rule refl :args (29/1))
% 0.39/0.56  (step @p16 :rule arith_poly_norm :args ((= @t4 @t11)))
% 0.39/0.56  (step @p17 :rule cong :premises (@p16 @p15) :args (@t5))
% 0.39/0.56  (step @p18 :rule trans :premises (@p17 @p14))
% 0.39/0.56  (step @p19 :rule cong :premises (@p18 @p12) :args (@t6))
% 0.39/0.56  (step @p20 :rule cong :premises (@p19) :args (@t8))
% 0.39/0.56  (step @p21 :rule trans :premises (@p20 @p9))
% 0.39/0.56  (step @p22 :rule cong :premises (@p21) :args (@t9))
% 0.39/0.56  (step @p23 :rule trans :premises (@p22 @p3))
% 0.39/0.56  (step @p24 false :rule eq_resolve :premises (@p1 @p23))
% 0.39/0.56  )
% 0.39/0.56  % SZS output end Proof
% 0.39/0.56  % cvc5 exiting
%------------------------------------------------------------------------------