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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM907_1 : TPTP v9.2.1. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 08:40:57 AM UTC 2026

% Result   : Theorem 0.31s 0.54s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM907_1 : TPTP v9.2.1. Bugfixed v5.4.0.
% 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 : n010.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
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 12:31:25 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.48  %----Proving TF0_ARI
% 0.31/0.54  --- Run --finite-model-find --decision=internal at 45...
% 0.31/0.54  % SZS status Theorem
% 0.31/0.54  % SZS output start Proof
% 0.31/0.54  (
% 0.31/0.54  (define @t1 () (@var "Y" Real))
% 0.31/0.54  (define @t2 () (@var "X" Real))
% 0.31/0.54  (define @t3 () (@var "Z" Real))
% 0.31/0.54  (define @t4 () (- @t3 @t2))
% 0.31/0.54  (define @t5 () (= @t4 @t1))
% 0.31/0.54  (define @t6 () (- @t3 @t1))
% 0.31/0.54  (define @t7 () (= @t6 @t2))
% 0.31/0.54  (define @t8 () (and @t7 @t5))
% 0.31/0.54  (define @t9 () (+ @t2 @t1))
% 0.31/0.54  (define @t10 () (= @t9 @t3))
% 0.31/0.54  (define @t11 () (= @t10 @t8))
% 0.31/0.54  (define @t12 () (@list @t2 @t1 @t3))
% 0.31/0.54  (define @t13 () (forall @t12 @t11))
% 0.31/0.54  (define @t14 () (not @t13))
% 0.31/0.54  (define @t15 () (* -1/1 @t1))
% 0.31/0.54  (define @t16 () (+ @t15 @t3))
% 0.31/0.54  (define @t17 () (= @t2 @t16))
% 0.31/0.54  (define @t18 () (- @t2 @t16))
% 0.31/0.54  (define @t19 () (* -1/1 @t18))
% 0.31/0.54  (define @t20 () (* -1/1 @t2))
% 0.31/0.54  (define @t21 () (+ @t20 @t3))
% 0.31/0.54  (define @t22 () (+ @t3 @t20))
% 0.31/0.54  (define @t23 () (+ @t3 @t15))
% 0.31/0.54  (assume @p1 @t14)
% 0.31/0.54  (assume @p2 true)
% 0.31/0.54  (step @p3 :rule evaluate :args ((not true)))
% 0.31/0.54  (step @p4 :rule quant-unused-vars :args ((= (forall @t12 true) true)))
% 0.31/0.54  (step @p5 :rule eq-refl :args (@t17))
% 0.31/0.54  (step @p6 :rule aci_norm :args ((= (and @t17 @t17) @t17)))
% 0.31/0.54  (step @p7 :rule arith_poly_norm :args ((= (* 1/1 (- @t21 @t1)) @t19)))
% 0.31/0.54  (step @p8 :rule arith_poly_norm_rel :premises (@p7) :args ((= (= @t21 @t1) @t17)))
% 0.31/0.54  (step @p9 :rule refl :args (@t1))
% 0.31/0.54  (step @p10 :rule arith_poly_norm :args ((= @t22 @t21)))
% 0.31/0.54  (step @p11 :rule arith_poly_norm :args ((= @t4 @t22)))
% 0.31/0.54  (step @p12 :rule trans :premises (@p11 @p10))
% 0.31/0.54  (step @p13 :rule cong :premises (@p12 @p9) :args (@t5))
% 0.31/0.54  (step @p14 :rule trans :premises (@p13 @p8))
% 0.31/0.54  (step @p15 :rule arith_poly_norm :args ((= (* 1/1 (- @t16 @t2)) @t19)))
% 0.31/0.54  (step @p16 :rule arith_poly_norm_rel :premises (@p15) :args ((= (= @t16 @t2) @t17)))
% 0.31/0.54  (step @p17 :rule refl :args (@t2))
% 0.31/0.54  (step @p18 :rule arith_poly_norm :args ((= @t23 @t16)))
% 0.31/0.54  (step @p19 :rule arith_poly_norm :args ((= @t6 @t23)))
% 0.31/0.54  (step @p20 :rule trans :premises (@p19 @p18))
% 0.31/0.54  (step @p21 :rule cong :premises (@p20 @p17) :args (@t7))
% 0.31/0.54  (step @p22 :rule trans :premises (@p21 @p16))
% 0.31/0.54  (step @p23 :rule nary_cong :premises (@p22 @p14) :args (@t8))
% 0.31/0.54  (step @p24 :rule trans :premises (@p23 @p6))
% 0.31/0.54  (step @p25 :rule arith_poly_norm :args ((= (* 1/1 (- @t9 @t3)) (* 1/1 @t18))))
% 0.31/0.54  (step @p26 :rule arith_poly_norm_rel :premises (@p25) :args ((= @t10 @t17)))
% 0.31/0.54  (step @p27 :rule cong :premises (@p26 @p24) :args (@t11))
% 0.31/0.54  (step @p28 :rule trans :premises (@p27 @p5))
% 0.31/0.54  (step @p29 :rule cong :premises (@p28) :args (@t13))
% 0.31/0.54  (step @p30 :rule trans :premises (@p29 @p4))
% 0.31/0.54  (step @p31 :rule cong :premises (@p30) :args (@t14))
% 0.31/0.54  (step @p32 :rule trans :premises (@p31 @p3))
% 0.31/0.54  (step @p33 false :rule eq_resolve :premises (@p1 @p32))
% 0.31/0.54  )
% 0.31/0.54  % SZS output end Proof
% 0.31/0.54  % cvc5 exiting
%------------------------------------------------------------------------------