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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM895_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 : n024.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 08:40:56 AM UTC 2026

% Result   : Theorem 0.15s 0.37s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : NUM895_1 : TPTP v9.2.1. Released v5.0.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.26  % Computer : n024.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue Jun  2 07:31:15 EDT 2026
% 0.07/0.26  % CPUTime  : 
% 0.15/0.34  %----Proving TF0_ARI
% 0.15/0.37  --- Run --finite-model-find --decision=internal at 45...
% 0.15/0.37  % SZS status Theorem
% 0.15/0.37  % SZS output start Proof
% 0.15/0.37  (
% 0.15/0.37  (define @t1 () (@var "Y" Int))
% 0.15/0.37  (define @t2 () (@var "X" Int))
% 0.15/0.37  (define @t3 () (@var "Z" Int))
% 0.15/0.37  (define @t4 () (- @t3 @t2))
% 0.15/0.37  (define @t5 () (= @t4 @t1))
% 0.15/0.37  (define @t6 () (+ @t2 @t1))
% 0.15/0.37  (define @t7 () (= @t6 @t3))
% 0.15/0.37  (define @t8 () (=> @t7 @t5))
% 0.15/0.37  (define @t9 () (@list @t2 @t1 @t3))
% 0.15/0.37  (define @t10 () (forall @t9 @t8))
% 0.15/0.37  (define @t11 () (not @t10))
% 0.15/0.37  (define @t12 () (+ (* -1 @t1) @t3))
% 0.15/0.37  (define @t13 () (= @t2 @t12))
% 0.15/0.37  (define @t14 () (- @t2 @t12))
% 0.15/0.37  (define @t15 () (* -1 @t2))
% 0.15/0.37  (define @t16 () (+ @t15 @t3))
% 0.15/0.37  (define @t17 () (+ @t3 @t15))
% 0.15/0.37  (assume @p1 @t11)
% 0.15/0.37  (assume @p2 true)
% 0.15/0.37  (step @p3 :rule evaluate :args ((not true)))
% 0.15/0.37  (step @p4 :rule quant-unused-vars :args ((= (forall @t9 true) true)))
% 0.15/0.37  (step @p5 :rule bool-or-taut2 :args (false @t13 false false))
% 0.15/0.37  (step @p6 :rule bool-impl-elim :args (@t13 @t13))
% 0.15/0.37  (step @p7 :rule trans :premises (@p6 @p5))
% 0.15/0.37  (step @p8 :rule cong :premises (@p7) :args ((forall @t9 (=> @t13 @t13))))
% 0.15/0.37  (step @p9 :rule trans :premises (@p8 @p4))
% 0.15/0.37  (step @p10 :rule arith_poly_norm :args ((= (* 1 (- @t16 @t1)) (* -1 @t14))))
% 0.15/0.37  (step @p11 :rule arith_poly_norm_rel :premises (@p10) :args ((= (= @t16 @t1) @t13)))
% 0.15/0.37  (step @p12 :rule refl :args (@t1))
% 0.15/0.37  (step @p13 :rule arith_poly_norm :args ((= @t17 @t16)))
% 0.15/0.37  (step @p14 :rule arith_poly_norm :args ((= @t4 @t17)))
% 0.15/0.37  (step @p15 :rule trans :premises (@p14 @p13))
% 0.15/0.37  (step @p16 :rule cong :premises (@p15 @p12) :args (@t5))
% 0.15/0.37  (step @p17 :rule trans :premises (@p16 @p11))
% 0.15/0.37  (step @p18 :rule arith_poly_norm :args ((= (* 1 (- @t6 @t3)) (* 1 @t14))))
% 0.15/0.37  (step @p19 :rule arith_poly_norm_rel :premises (@p18) :args ((= @t7 @t13)))
% 0.15/0.37  (step @p20 :rule cong :premises (@p19 @p17) :args (@t8))
% 0.15/0.37  (step @p21 :rule cong :premises (@p20) :args (@t10))
% 0.15/0.37  (step @p22 :rule trans :premises (@p21 @p9))
% 0.15/0.37  (step @p23 :rule cong :premises (@p22) :args (@t11))
% 0.15/0.37  (step @p24 :rule trans :premises (@p23 @p3))
% 0.15/0.37  (step @p25 false :rule eq_resolve :premises (@p1 @p24))
% 0.15/0.37  )
% 0.15/0.37  % SZS output end Proof
% 0.15/0.37  % cvc5 exiting
%------------------------------------------------------------------------------