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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM878_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 : n016.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 08:40:54 AM UTC 2026

% Result   : Theorem 0.38s 0.56s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM878_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
% 0.19/0.35  % Computer : n016.cluster.edu
% 0.19/0.35  % Model    : x86_64 x86_64
% 0.19/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35  % Memory   : 8042.1875MB
% 0.19/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35  % CPULimit : 300
% 0.19/0.35  % WCLimit  : 300
% 0.19/0.35  % DateTime : Tue Jun  2 12:31:24 EDT 2026
% 0.19/0.35  % CPUTime  : 
% 0.27/0.50  %----Proving TF0_ARI
% 0.38/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.38/0.56  % SZS status Theorem
% 0.38/0.56  % SZS output start Proof
% 0.38/0.56  (
% 0.38/0.56  (define @t1 () (@var "X" Int))
% 0.38/0.56  (define @t2 () (* @t1 @t1))
% 0.38/0.56  (define @t3 () (= @t2 @t1))
% 0.38/0.56  (define @t4 () (@list @t1))
% 0.38/0.56  (define @t5 () (exists @t4 @t3))
% 0.38/0.56  (define @t6 () (not @t5))
% 0.38/0.56  (define @t7 () (* @t1 @t1))
% 0.38/0.56  (define @t8 () (= @t1 @t7))
% 0.38/0.56  (define @t9 () (forall @t4 (not @t8)))
% 0.38/0.56  (define @t10 () (* 0 0))
% 0.38/0.56  (define @t11 () (= 0 @t10))
% 0.38/0.56  (define @t12 () (not @t11))
% 0.38/0.56  (assume @p1 @t6)
% 0.38/0.56  (assume @p2 true)
% 0.38/0.56  (step @p3 :rule bool-double-not-elim :args (@t9))
% 0.38/0.56  (step @p4 :rule exists-elim :args ((= (exists @t4 @t8) (not @t9))))
% 0.38/0.56  (step @p5 :rule arith_poly_norm :args ((= (* 1 (- @t7 @t1)) (* -1 (- @t1 @t7)))))
% 0.38/0.56  (step @p6 :rule arith_poly_norm_rel :premises (@p5) :args ((= (= @t7 @t1) @t8)))
% 0.38/0.56  (step @p7 :rule refl :args (@t1))
% 0.38/0.56  (step @p8 :rule arith_poly_norm :args ((= @t2 @t7)))
% 0.38/0.56  (step @p9 :rule cong :premises (@p8 @p7) :args (@t3))
% 0.38/0.56  (step @p10 :rule trans :premises (@p9 @p6))
% 0.38/0.56  (step @p11 :rule cong :premises (@p10) :args (@t5))
% 0.38/0.56  (step @p12 :rule trans :premises (@p11 @p4))
% 0.38/0.56  (step @p13 :rule cong :premises (@p12) :args (@t6))
% 0.38/0.56  (step @p14 :rule trans :premises (@p13 @p3))
% 0.38/0.56  (step @p15 :rule eq_resolve :premises (@p1 @p14))
% 0.38/0.56  (step @p16 :rule bool-impl-false1 :args (@t9))
% 0.38/0.56  (step @p17 :rule evaluate :args ((not true)))
% 0.38/0.56  (step @p18 :rule evaluate :args ((= 0 0)))
% 0.38/0.56  (step @p19 :rule evaluate :args (@t10))
% 0.38/0.56  (step @p20 :rule refl :args (0))
% 0.38/0.56  (step @p21 :rule cong :premises (@p20 @p19) :args (@t11))
% 0.38/0.56  (step @p22 :rule trans :premises (@p21 @p18))
% 0.38/0.56  (step @p23 :rule cong :premises (@p22) :args (@t12))
% 0.38/0.56  (step @p24 :rule trans :premises (@p23 @p17))
% 0.38/0.56  (step @p25 :rule refl :args (@t9))
% 0.38/0.56  (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t9 @t12)))
% 0.38/0.56  (step @p27 :rule trans :premises (@p26 @p16))
% 0.38/0.56  (assume-push @p34 @t9)
% 0.38/0.56  (step @p29 :rule instantiate :premises (@p15) :args ((@list 0)))
% 0.38/0.56  (step-pop @p35 :rule scope :premises (@p29))
% 0.38/0.56  (step @p30 :rule process_scope :premises (@p35) :args (@t12))
% 0.38/0.56  (step @p32 :rule eq_resolve :premises (@p30 @p27))
% 0.38/0.56  (step @p33 false :rule chain_m_resolution :premises (@p32 @p15) :args (false (@list false) (@list @t9)))
% 0.38/0.56  )
% 0.38/0.56  % SZS output end Proof
% 0.38/0.56  % cvc5 exiting
%------------------------------------------------------------------------------