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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI431_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 : n014.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 0.56s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI431_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 : n014.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
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Wed Jun  3 02:28:43 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.32/0.50  %----Proving TF0_ARI
% 0.32/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.32/0.56  % SZS status Theorem
% 0.32/0.56  % SZS output start Proof
% 0.32/0.56  (
% 0.32/0.56  (define @t1 () (/ 321 20))
% 0.32/0.56  (define @t2 () (@var "X" Real))
% 0.32/0.56  (define @t3 () (= @t2 @t1))
% 0.32/0.56  (define @t4 () (/ 241 20))
% 0.32/0.56  (define @t5 () (- @t2 @t4))
% 0.32/0.56  (define @t6 () (= @t5 4/1))
% 0.32/0.56  (define @t7 () (=> @t6 @t3))
% 0.32/0.56  (define @t8 () (@list @t2))
% 0.32/0.56  (define @t9 () (forall @t8 @t7))
% 0.32/0.56  (define @t10 () (not @t9))
% 0.32/0.56  (define @t11 () (= @t2 321/20))
% 0.32/0.56  (define @t12 () (+ -241/20 @t2))
% 0.32/0.56  (define @t13 () (* -1/1 @t4))
% 0.32/0.56  (define @t14 () (+ @t2 @t13))
% 0.32/0.56  (assume @p1 @t10)
% 0.32/0.56  (assume @p2 true)
% 0.32/0.56  (step @p3 :rule evaluate :args ((not true)))
% 0.32/0.56  (step @p4 :rule quant-unused-vars :args ((= (forall @t8 true) true)))
% 0.32/0.56  (step @p5 :rule bool-or-taut2 :args (false @t11 false false))
% 0.32/0.56  (step @p6 :rule bool-impl-elim :args (@t11 @t11))
% 0.32/0.56  (step @p7 :rule trans :premises (@p6 @p5))
% 0.32/0.56  (step @p8 :rule cong :premises (@p7) :args ((forall @t8 (=> @t11 @t11))))
% 0.32/0.56  (step @p9 :rule trans :premises (@p8 @p4))
% 0.32/0.56  (step @p10 :rule evaluate :args (@t1))
% 0.32/0.56  (step @p11 :rule refl :args (@t2))
% 0.32/0.56  (step @p12 :rule cong :premises (@p11 @p10) :args (@t3))
% 0.32/0.56  (step @p13 :rule arith_poly_norm :args ((= (* -321/20 (- @t12 4/1)) (* -321/20 (- @t2 321/20)))))
% 0.32/0.56  (step @p14 :rule arith_poly_norm_rel :premises (@p13) :args ((= (= @t12 4/1) @t11)))
% 0.32/0.56  (step @p15 :rule refl :args (4/1))
% 0.32/0.56  (step @p16 :rule arith_poly_norm :args ((= (+ @t2 -241/20) @t12)))
% 0.32/0.56  (step @p17 :rule evaluate :args ((* -1/1 241/20)))
% 0.32/0.56  (step @p18 :rule evaluate :args (@t4))
% 0.32/0.56  (step @p19 :rule refl :args (-1/1))
% 0.32/0.56  (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t13))
% 0.32/0.56  (step @p21 :rule trans :premises (@p20 @p17))
% 0.32/0.56  (step @p22 :rule nary_cong :premises (@p11 @p21) :args (@t14))
% 0.32/0.56  (step @p23 :rule trans :premises (@p22 @p16))
% 0.32/0.56  (step @p24 :rule arith_poly_norm :args ((= @t5 @t14)))
% 0.32/0.56  (step @p25 :rule trans :premises (@p24 @p23))
% 0.32/0.56  (step @p26 :rule cong :premises (@p25 @p15) :args (@t6))
% 0.32/0.56  (step @p27 :rule trans :premises (@p26 @p14))
% 0.32/0.56  (step @p28 :rule cong :premises (@p27 @p12) :args (@t7))
% 0.32/0.56  (step @p29 :rule cong :premises (@p28) :args (@t9))
% 0.32/0.56  (step @p30 :rule trans :premises (@p29 @p9))
% 0.32/0.56  (step @p31 :rule cong :premises (@p30) :args (@t10))
% 0.32/0.56  (step @p32 :rule trans :premises (@p31 @p3))
% 0.32/0.56  (step @p33 false :rule eq_resolve :premises (@p1 @p32))
% 0.32/0.56  )
% 0.32/0.56  % SZS output end Proof
% 0.32/0.56  % cvc5 exiting
%------------------------------------------------------------------------------