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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI715_1 : TPTP v9.2.1. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 08:08:11 AM UTC 2026

% Result   : Theorem 0.30s 0.54s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI715_1 : TPTP v9.2.1. Released v6.3.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.34  % Computer : n006.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Wed Jun  3 02:32:19 EDT 2026
% 0.18/0.34  % CPUTime  : 
% 0.30/0.48  %----Proving TF0_ARI
% 0.30/0.54  --- Run --finite-model-find --decision=internal at 45...
% 0.30/0.54  % SZS status Theorem
% 0.30/0.54  % SZS output start Proof
% 0.30/0.54  (
% 0.30/0.54  (define @t1 () (/ 3 10))
% 0.30/0.54  (define @t2 () (@var "X" Real))
% 0.30/0.54  (define @t3 () (to_real (to_int @t2)))
% 0.30/0.54  (define @t4 () (+ @t3 @t1))
% 0.30/0.54  (define @t5 () (+ @t2 @t1))
% 0.30/0.54  (define @t6 () (to_int @t5))
% 0.30/0.54  (define @t7 () (to_real @t6))
% 0.30/0.54  (define @t8 () (= @t7 @t4))
% 0.30/0.54  (define @t9 () (not @t8))
% 0.30/0.54  (define @t10 () (@list @t2))
% 0.30/0.54  (define @t11 () (forall @t10 @t9))
% 0.30/0.54  (define @t12 () (not @t11))
% 0.30/0.54  (define @t13 () (+ 3/10 @t2))
% 0.30/0.54  (define @t14 () (to_int @t13))
% 0.30/0.54  (define @t15 () (to_real (+ (* -1 @t3) @t14)))
% 0.30/0.54  (define @t16 () (= @t15 3/10))
% 0.30/0.54  (define @t17 () (+ 3/10 @t3))
% 0.30/0.54  (define @t18 () (to_real @t14))
% 0.30/0.54  (assume @p1 @t12)
% 0.30/0.54  (assume @p2 true)
% 0.30/0.54  (step @p3 :rule evaluate :args ((not true)))
% 0.30/0.54  (step @p4 :rule quant-unused-vars :args ((= (forall @t10 true) true)))
% 0.30/0.54  (step @p5 :rule evaluate :args ((not false)))
% 0.30/0.54  ; WARNING: add trust step for TRUST
% 0.30/0.54  ; trust TRUST MACRO_THEORY_REWRITE_RCONS_SIMPLE
% 0.30/0.54  (step @p6 :rule trust :premises () :args ((= @t16 false)))
% 0.30/0.54  (step @p7 :rule arith_poly_norm :args ((= (* -3/10 (- @t18 @t17)) (* -3/10 (- @t15 3/10)))))
% 0.30/0.54  (step @p8 :rule arith_poly_norm_rel :premises (@p7) :args ((= (= @t18 @t17) @t16)))
% 0.30/0.54  (step @p9 :rule trans :premises (@p8 @p6))
% 0.30/0.54  (step @p10 :rule arith_poly_norm :args ((= (+ @t3 3/10) @t17)))
% 0.30/0.54  (step @p11 :rule evaluate :args (@t1))
% 0.30/0.54  (step @p12 :rule refl :args (@t3))
% 0.30/0.54  (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t4))
% 0.30/0.54  (step @p14 :rule trans :premises (@p13 @p10))
% 0.30/0.54  (step @p15 :rule arith_poly_norm :args ((= (+ @t2 3/10) @t13)))
% 0.30/0.54  (step @p16 :rule refl :args (@t2))
% 0.30/0.54  (step @p17 :rule nary_cong :premises (@p16 @p11) :args (@t5))
% 0.30/0.54  (step @p18 :rule trans :premises (@p17 @p15))
% 0.30/0.54  (step @p19 :rule cong :premises (@p18) :args (@t6))
% 0.30/0.54  (step @p20 :rule cong :premises (@p19) :args (@t7))
% 0.30/0.54  (step @p21 :rule cong :premises (@p20 @p14) :args (@t8))
% 0.30/0.54  (step @p22 :rule trans :premises (@p21 @p9))
% 0.30/0.54  (step @p23 :rule cong :premises (@p22) :args (@t9))
% 0.30/0.54  (step @p24 :rule trans :premises (@p23 @p5))
% 0.30/0.54  (step @p25 :rule cong :premises (@p24) :args (@t11))
% 0.30/0.54  (step @p26 :rule trans :premises (@p25 @p4))
% 0.30/0.54  (step @p27 :rule cong :premises (@p26) :args (@t12))
% 0.30/0.54  (step @p28 :rule trans :premises (@p27 @p3))
% 0.30/0.54  (step @p29 false :rule eq_resolve :premises (@p1 @p28))
% 0.30/0.54  )
% 0.30/0.54  % SZS output end Proof
% 0.30/0.54  % cvc5 exiting
%------------------------------------------------------------------------------