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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI430_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 : n015.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 08:07:40 AM UTC 2026

% Result   : Theorem 0.32s 0.54s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI430_1 : TPTP v9.2.1. Released v5.0.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.34  % Computer : n015.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Wed Jun  3 02:28:34 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.32/0.48  %----Proving TF0_ARI
% 0.32/0.54  --- Run --finite-model-find --decision=internal at 45...
% 0.32/0.54  % SZS status Theorem
% 0.32/0.54  % SZS output start Proof
% 0.32/0.54  (
% 0.32/0.54  (define @t1 () (/ 57 4))
% 0.32/0.54  (define @t2 () (@var "X" Real))
% 0.32/0.54  (define @t3 () (= @t2 @t1))
% 0.32/0.54  (define @t4 () (/ 951 100))
% 0.32/0.54  (define @t5 () (/ 594 25))
% 0.32/0.54  (define @t6 () (- @t5 @t4))
% 0.32/0.54  (define @t7 () (= @t6 @t2))
% 0.32/0.54  (define @t8 () (=> @t7 @t3))
% 0.32/0.54  (define @t9 () (@list @t2))
% 0.32/0.54  (define @t10 () (forall @t9 @t8))
% 0.32/0.54  (define @t11 () (not @t10))
% 0.32/0.54  (define @t12 () (= @t2 57/4))
% 0.32/0.54  (define @t13 () (* -1/1 @t4))
% 0.32/0.54  (define @t14 () (+ @t5 @t13))
% 0.32/0.54  (assume @p1 @t11)
% 0.32/0.54  (assume @p2 true)
% 0.32/0.54  (step @p3 :rule evaluate :args ((not true)))
% 0.32/0.54  (step @p4 :rule quant-unused-vars :args ((= (forall @t9 true) true)))
% 0.32/0.54  (step @p5 :rule bool-or-taut2 :args (false @t12 false false))
% 0.32/0.54  (step @p6 :rule bool-impl-elim :args (@t12 @t12))
% 0.32/0.54  (step @p7 :rule trans :premises (@p6 @p5))
% 0.32/0.54  (step @p8 :rule cong :premises (@p7) :args ((forall @t9 (=> @t12 @t12))))
% 0.32/0.54  (step @p9 :rule trans :premises (@p8 @p4))
% 0.32/0.54  (step @p10 :rule evaluate :args (@t1))
% 0.32/0.54  (step @p11 :rule refl :args (@t2))
% 0.32/0.54  (step @p12 :rule cong :premises (@p11 @p10) :args (@t3))
% 0.32/0.54  (step @p13 :rule arith_poly_norm :args ((= (* -57/4 (- 57/4 @t2)) (* 57/4 (- @t2 57/4)))))
% 0.32/0.54  (step @p14 :rule arith_poly_norm_rel :premises (@p13) :args ((= (= 57/4 @t2) @t12)))
% 0.32/0.54  (step @p15 :rule evaluate :args ((+ 594/25 -951/100)))
% 0.32/0.54  (step @p16 :rule evaluate :args ((* -1/1 951/100)))
% 0.32/0.54  (step @p17 :rule evaluate :args (@t4))
% 0.32/0.54  (step @p18 :rule refl :args (-1/1))
% 0.32/0.54  (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t13))
% 0.32/0.54  (step @p20 :rule trans :premises (@p19 @p16))
% 0.32/0.54  (step @p21 :rule evaluate :args (@t5))
% 0.32/0.54  (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t14))
% 0.32/0.54  (step @p23 :rule trans :premises (@p22 @p15))
% 0.32/0.54  (step @p24 :rule evaluate :args (@t14))
% 0.32/0.54  (step @p25 :rule symm :premises (@p24))
% 0.32/0.54  (step @p26 :rule evaluate :args (@t6))
% 0.32/0.54  (step @p27 :rule trans :premises (@p26 @p25))
% 0.32/0.54  (step @p28 :rule trans :premises (@p27 @p23))
% 0.32/0.54  (step @p29 :rule cong :premises (@p28 @p11) :args (@t7))
% 0.32/0.54  (step @p30 :rule trans :premises (@p29 @p14))
% 0.32/0.54  (step @p31 :rule cong :premises (@p30 @p12) :args (@t8))
% 0.32/0.54  (step @p32 :rule cong :premises (@p31) :args (@t10))
% 0.32/0.54  (step @p33 :rule trans :premises (@p32 @p9))
% 0.32/0.54  (step @p34 :rule cong :premises (@p33) :args (@t11))
% 0.32/0.54  (step @p35 :rule trans :premises (@p34 @p3))
% 0.32/0.54  (step @p36 false :rule eq_resolve :premises (@p1 @p35))
% 0.32/0.54  )
% 0.32/0.54  % SZS output end Proof
% 0.32/0.54  % cvc5 exiting
%------------------------------------------------------------------------------