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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI702_1 : TPTP v9.2.1. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 08:08:09 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
% 0.12/0.13  % Problem  : ARI702_1 : TPTP v9.2.1. Released v6.3.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n015.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Wed Jun  3 02:31:49 EDT 2026
% 0.17/0.35  % 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  (declare-const tptp.z Int)
% 0.32/0.56  (declare-const tptp.b Int)
% 0.32/0.56  (declare-const tptp.x Int)
% 0.32/0.56  (declare-const tptp.y Int)
% 0.32/0.56  (declare-const tptp.a Int)
% 0.32/0.56  (define @t1 () (* (* 2 tptp.x) tptp.y))
% 0.32/0.56  (define @t2 () (= @t1 tptp.a))
% 0.32/0.56  (define @t3 () (* tptp.a tptp.z))
% 0.32/0.56  (define @t4 () (= @t3 2))
% 0.32/0.56  (define @t5 () (* tptp.x tptp.y))
% 0.32/0.56  (define @t6 () (* @t5 tptp.z))
% 0.32/0.56  (define @t7 () (= @t6 1))
% 0.32/0.56  (define @t8 () (not @t7))
% 0.32/0.56  (define @t9 () (= 1 1))
% 0.32/0.56  (define @t10 () (* tptp.x tptp.y tptp.z))
% 0.32/0.56  (define @t11 () (* 2 @t10))
% 0.32/0.56  (define @t12 () (= @t10 1))
% 0.32/0.56  (define @t13 () (* tptp.x tptp.y))
% 0.32/0.56  (define @t14 () (* 2 @t13))
% 0.32/0.56  (define @t15 () (* @t14 tptp.z))
% 0.32/0.56  (define @t16 () (* tptp.a tptp.z))
% 0.32/0.56  (assume @p1 @t2)
% 0.32/0.56  (assume @p2 (= (* (* 2 tptp.y) tptp.z) tptp.b))
% 0.32/0.56  (assume @p3 @t4)
% 0.32/0.56  (assume @p4 @t8)
% 0.32/0.56  (assume @p5 true)
% 0.32/0.56  (step @p6 :rule evaluate :args ((not true)))
% 0.32/0.56  (step @p7 :rule evaluate :args (@t9))
% 0.32/0.56  (step @p8 :rule cong :premises (@p7) :args ((not @t9)))
% 0.32/0.56  (step @p9 :rule trans :premises (@p8 @p6))
% 0.32/0.56  (step @p10 :rule refl :args (1))
% 0.32/0.56  (step @p11 :rule arith_poly_norm :args ((= (* -1 (- @t11 2)) (* -2 (- @t10 1)))))
% 0.32/0.56  (step @p12 :rule arith_poly_norm_rel :premises (@p11) :args ((= (= @t11 2) @t12)))
% 0.32/0.56  (step @p13 :rule refl :args (2))
% 0.32/0.56  (step @p14 :rule arith_poly_norm :args ((= @t15 @t11)))
% 0.32/0.56  (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t15 2)))
% 0.32/0.56  (step @p16 :rule trans :premises (@p15 @p12))
% 0.32/0.56  (step @p17 :rule refl :args (tptp.z))
% 0.32/0.56  (step @p18 :rule arith_poly_norm :args ((= (* 1 (- @t14 tptp.a)) (* -1 (- tptp.a @t14)))))
% 0.32/0.56  (step @p19 :rule arith_poly_norm_rel :premises (@p18) :args ((= (= @t14 tptp.a) (= tptp.a @t14))))
% 0.32/0.56  (step @p20 :rule refl :args (tptp.a))
% 0.32/0.56  (step @p21 :rule arith_poly_norm :args ((= @t1 @t14)))
% 0.32/0.56  (step @p22 :rule cong :premises (@p21 @p20) :args (@t2))
% 0.32/0.56  (step @p23 :rule trans :premises (@p22 @p19))
% 0.32/0.56  (step @p24 :rule eq_resolve :premises (@p1 @p23))
% 0.32/0.56  (step @p25 :rule nary_cong :premises (@p24 @p17) :args (@t16))
% 0.32/0.56  (step @p26 :rule cong :premises (@p25 @p13) :args ((= @t16 2)))
% 0.32/0.56  (step @p27 :rule trans :premises (@p26 @p16))
% 0.32/0.56  (step @p28 :rule arith_poly_norm :args ((= @t3 @t16)))
% 0.32/0.56  (step @p29 :rule cong :premises (@p28 @p13) :args (@t4))
% 0.32/0.56  (step @p30 :rule eq_resolve :premises (@p3 @p29))
% 0.32/0.56  (step @p31 :rule eq_resolve :premises (@p30 @p27))
% 0.32/0.56  (step @p32 :rule cong :premises (@p31 @p10) :args (@t12))
% 0.32/0.56  (step @p33 :rule cong :premises (@p32) :args ((not @t12)))
% 0.32/0.56  (step @p34 :rule trans :premises (@p33 @p9))
% 0.32/0.56  (step @p35 :rule arith_poly_norm :args ((= (* @t13 tptp.z) @t10)))
% 0.32/0.56  (step @p36 :rule arith_poly_norm :args ((= @t5 @t13)))
% 0.32/0.56  (step @p37 :rule nary_cong :premises (@p36 @p17) :args (@t6))
% 0.32/0.56  (step @p38 :rule trans :premises (@p37 @p35))
% 0.32/0.56  (step @p39 :rule cong :premises (@p38 @p10) :args (@t7))
% 0.32/0.56  (step @p40 :rule cong :premises (@p39) :args (@t8))
% 0.32/0.56  (step @p41 :rule eq_resolve :premises (@p4 @p40))
% 0.32/0.56  (step @p42 false :rule eq_resolve :premises (@p41 @p34))
% 0.32/0.56  )
% 0.32/0.56  % SZS output end Proof
% 0.32/0.56  % cvc5 exiting
%------------------------------------------------------------------------------