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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI705_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 : n019.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 08:08:10 AM UTC 2026

% Result   : Theorem 0.29s 0.55s
% Output   : Proof 0.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI705_1 : TPTP v9.2.1. Released v6.3.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n019.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 : Wed Jun  3 02:31:49 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.29/0.49  %----Proving TF0_ARI
% 0.29/0.55  --- Run --finite-model-find --decision=internal at 45...
% 0.29/0.55  % SZS status Theorem
% 0.29/0.55  % SZS output start Proof
% 0.29/0.55  (
% 0.29/0.55  (declare-const tptp.c Int)
% 0.29/0.55  (declare-const tptp.b Int)
% 0.29/0.55  (declare-const tptp.d Int)
% 0.29/0.55  (declare-const tptp.a Int)
% 0.29/0.55  (define @t1 () (* tptp.d tptp.d))
% 0.29/0.55  (define @t2 () (+ @t1 tptp.a))
% 0.29/0.55  (define @t3 () (= @t1 @t2))
% 0.29/0.55  (define @t4 () (* tptp.d tptp.c))
% 0.29/0.55  (define @t5 () (* @t4 tptp.a))
% 0.29/0.55  (define @t6 () (* @t5 tptp.b))
% 0.29/0.55  (define @t7 () (* @t6 2))
% 0.29/0.55  (define @t8 () (= @t7 0))
% 0.29/0.55  (define @t9 () (not @t8))
% 0.29/0.55  (define @t10 () (= (* tptp.d 0 tptp.c tptp.b) 0))
% 0.29/0.55  (define @t11 () (* tptp.d tptp.d))
% 0.29/0.55  (define @t12 () (+ tptp.a @t11))
% 0.29/0.55  (define @t13 () (* tptp.d tptp.a tptp.c tptp.b))
% 0.29/0.55  (define @t14 () (= @t13 0))
% 0.29/0.55  (define @t15 () (* 2 @t13))
% 0.29/0.55  (define @t16 () (* tptp.d tptp.a tptp.c))
% 0.29/0.55  (define @t17 () (* tptp.d tptp.c))
% 0.29/0.55  (assume @p1 @t3)
% 0.29/0.55  (assume @p2 @t9)
% 0.29/0.55  (assume @p3 true)
% 0.29/0.55  (step @p4 :rule evaluate :args ((not true)))
% 0.29/0.55  (step @p5 :rule evaluate :args ((= 0 0)))
% 0.29/0.55  (step @p6 :rule refl :args (0))
% 0.29/0.55  (step @p7 :rule arith_poly_norm :args (@t10))
% 0.29/0.55  (step @p8 :rule cong :premises (@p7 @p6) :args (@t10))
% 0.29/0.55  (step @p9 :rule trans :premises (@p8 @p5))
% 0.29/0.55  (step @p10 :rule cong :premises (@p9) :args ((not @t10)))
% 0.29/0.55  (step @p11 :rule trans :premises (@p10 @p4))
% 0.29/0.55  (step @p12 :rule refl :args (tptp.b))
% 0.29/0.55  (step @p13 :rule refl :args (tptp.c))
% 0.29/0.55  (step @p14 :rule arith_poly_norm :args ((= (* 1 (- @t11 @t12)) (* -1 (- tptp.a 0)))))
% 0.29/0.55  (step @p15 :rule arith_poly_norm_rel :premises (@p14) :args ((= (= @t11 @t12) (= tptp.a 0))))
% 0.29/0.55  (step @p16 :rule arith_poly_norm :args ((= (+ @t11 tptp.a) @t12)))
% 0.29/0.55  (step @p17 :rule refl :args (tptp.a))
% 0.29/0.55  (step @p18 :rule arith_poly_norm :args ((= @t1 @t11)))
% 0.29/0.55  (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t2))
% 0.29/0.55  (step @p20 :rule trans :premises (@p19 @p16))
% 0.29/0.55  (step @p21 :rule cong :premises (@p18 @p20) :args (@t3))
% 0.29/0.55  (step @p22 :rule trans :premises (@p21 @p15))
% 0.29/0.55  (step @p23 :rule eq_resolve :premises (@p1 @p22))
% 0.29/0.55  (step @p24 :rule refl :args (tptp.d))
% 0.29/0.55  (step @p25 :rule nary_cong :premises (@p24 @p23 @p13 @p12) :args (@t13))
% 0.29/0.55  (step @p26 :rule cong :premises (@p25 @p6) :args (@t14))
% 0.29/0.55  (step @p27 :rule cong :premises (@p26) :args ((not @t14)))
% 0.29/0.55  (step @p28 :rule trans :premises (@p27 @p11))
% 0.29/0.55  (step @p29 :rule arith_poly_norm :args ((= (* 1 (- @t15 0)) (* 2 (- @t13 0)))))
% 0.29/0.55  (step @p30 :rule arith_poly_norm_rel :premises (@p29) :args ((= (= @t15 0) @t14)))
% 0.29/0.55  (step @p31 :rule arith_poly_norm :args ((= (* @t13 2) @t15)))
% 0.29/0.55  (step @p32 :rule refl :args (2))
% 0.29/0.55  (step @p33 :rule arith_poly_norm :args ((= (* @t16 tptp.b) @t13)))
% 0.29/0.55  (step @p34 :rule arith_poly_norm :args ((= (* @t17 tptp.a) @t16)))
% 0.29/0.55  (step @p35 :rule arith_poly_norm :args ((= @t4 @t17)))
% 0.29/0.55  (step @p36 :rule nary_cong :premises (@p35 @p17) :args (@t5))
% 0.29/0.55  (step @p37 :rule trans :premises (@p36 @p34))
% 0.29/0.55  (step @p38 :rule nary_cong :premises (@p37 @p12) :args (@t6))
% 0.29/0.55  (step @p39 :rule trans :premises (@p38 @p33))
% 0.29/0.55  (step @p40 :rule nary_cong :premises (@p39 @p32) :args (@t7))
% 0.29/0.55  (step @p41 :rule trans :premises (@p40 @p31))
% 0.29/0.55  (step @p42 :rule cong :premises (@p41 @p6) :args (@t8))
% 0.29/0.55  (step @p43 :rule trans :premises (@p42 @p30))
% 0.29/0.55  (step @p44 :rule cong :premises (@p43) :args (@t9))
% 0.29/0.55  (step @p45 :rule eq_resolve :premises (@p2 @p44))
% 0.29/0.55  (step @p46 false :rule eq_resolve :premises (@p45 @p28))
% 0.29/0.55  )
% 0.29/0.55  % SZS output end Proof
% 0.29/0.55  % cvc5 exiting
%------------------------------------------------------------------------------