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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI688_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 : n021.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 08:08:08 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  : ARI688_1 : TPTP v9.2.1. Released v6.3.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n021.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Wed Jun  3 02:33:20 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.30/0.50  %----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  (declare-const tptp.b Int)
% 0.38/0.56  (declare-const tptp.x Int)
% 0.38/0.56  (declare-const tptp.a Int)
% 0.38/0.56  (define @t1 () (* 98164184 tptp.x))
% 0.38/0.56  (define @t2 () (* 6472 tptp.x))
% 0.38/0.56  (define @t3 () (* 287 tptp.a))
% 0.38/0.56  (define @t4 () (* 4353078 tptp.b))
% 0.38/0.56  (define @t5 () (- @t4 @t3))
% 0.38/0.56  (define @t6 () (- 1))
% 0.38/0.56  (define @t7 () (* @t6 @t5))
% 0.38/0.56  (define @t8 () (* 8 tptp.x))
% 0.38/0.56  (define @t9 () (+ @t8 @t7))
% 0.38/0.56  (define @t10 () (= @t9 0))
% 0.38/0.56  (define @t11 () (not @t10))
% 0.38/0.56  (define @t12 () (* 28173120816 tptp.x))
% 0.38/0.56  (define @t13 () (* -28173120808 tptp.x))
% 0.38/0.56  (define @t14 () (* 4353078 @t2))
% 0.38/0.56  (define @t15 () (* -287 @t1))
% 0.38/0.56  (define @t16 () (+ @t15 @t14))
% 0.38/0.56  (define @t17 () (= @t8 @t16))
% 0.38/0.56  (define @t18 () (* -287 tptp.a))
% 0.38/0.56  (define @t19 () (+ @t18 @t4))
% 0.38/0.56  (define @t20 () (= @t8 @t19))
% 0.38/0.56  (define @t21 () (* -4353078 tptp.b))
% 0.38/0.56  (define @t22 () (+ @t8 @t3 @t21))
% 0.38/0.56  (define @t23 () (+ @t3 @t21))
% 0.38/0.56  (define @t24 () (* -1 @t3))
% 0.38/0.56  (define @t25 () (+ @t4 @t24))
% 0.38/0.56  (assume @p1 (= @t1 tptp.a))
% 0.38/0.56  (assume @p2 (= @t2 tptp.b))
% 0.38/0.56  (assume @p3 @t11)
% 0.38/0.56  (assume @p4 true)
% 0.38/0.56  (step @p5 :rule evaluate :args ((not true)))
% 0.38/0.56  (step @p6 :rule eq-refl :args (@t8))
% 0.38/0.56  (step @p7 :rule arith_poly_norm :args ((= (+ @t13 @t12) @t8)))
% 0.38/0.56  (step @p8 :rule arith_poly_norm :args ((= @t14 @t12)))
% 0.38/0.56  (step @p9 :rule arith_poly_norm :args ((= @t15 @t13)))
% 0.38/0.56  (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t16))
% 0.38/0.56  (step @p11 :rule trans :premises (@p10 @p7))
% 0.38/0.56  (step @p12 :rule refl :args (@t8))
% 0.38/0.56  (step @p13 :rule cong :premises (@p12 @p11) :args (@t17))
% 0.38/0.56  (step @p14 :rule trans :premises (@p13 @p6))
% 0.38/0.56  (step @p15 :rule cong :premises (@p14) :args ((not @t17)))
% 0.38/0.56  (step @p16 :rule trans :premises (@p15 @p5))
% 0.38/0.56  (step @p17 :rule symm :premises (@p2))
% 0.38/0.56  (step @p18 :rule refl :args (4353078))
% 0.38/0.56  (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t4))
% 0.38/0.56  (step @p20 :rule symm :premises (@p1))
% 0.38/0.56  (step @p21 :rule refl :args (-287))
% 0.38/0.56  (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t18))
% 0.38/0.56  (step @p23 :rule nary_cong :premises (@p22 @p19) :args (@t19))
% 0.38/0.56  (step @p24 :rule cong :premises (@p12 @p23) :args (@t20))
% 0.38/0.56  (step @p25 :rule cong :premises (@p24) :args ((not @t20)))
% 0.38/0.56  (step @p26 :rule trans :premises (@p25 @p16))
% 0.38/0.56  (step @p27 :rule arith_poly_norm :args ((= (* 8 (- @t22 0)) (* 8 (- @t8 @t19)))))
% 0.38/0.56  (step @p28 :rule arith_poly_norm_rel :premises (@p27) :args ((= (= @t22 0) @t20)))
% 0.38/0.56  (step @p29 :rule refl :args (0))
% 0.38/0.56  (step @p30 :rule arith_poly_norm :args ((= (+ @t8 @t23) @t22)))
% 0.38/0.56  (step @p31 :rule arith_poly_norm :args ((= (* -1 @t19) @t23)))
% 0.38/0.56  (step @p32 :rule arith_poly_norm :args ((= (+ @t4 @t18) @t19)))
% 0.38/0.56  (step @p33 :rule arith_poly_norm :args ((= @t24 @t18)))
% 0.38/0.56  (step @p34 :rule refl :args (@t4))
% 0.38/0.56  (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t25))
% 0.38/0.56  (step @p36 :rule trans :premises (@p35 @p32))
% 0.38/0.56  (step @p37 :rule arith_poly_norm :args ((= @t5 @t25)))
% 0.38/0.56  (step @p38 :rule trans :premises (@p37 @p36))
% 0.38/0.56  (step @p39 :rule evaluate :args (@t6))
% 0.38/0.56  (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t7))
% 0.38/0.56  (step @p41 :rule trans :premises (@p40 @p31))
% 0.38/0.56  (step @p42 :rule nary_cong :premises (@p12 @p41) :args (@t9))
% 0.38/0.56  (step @p43 :rule trans :premises (@p42 @p30))
% 0.38/0.56  (step @p44 :rule cong :premises (@p43 @p29) :args (@t10))
% 0.38/0.56  (step @p45 :rule trans :premises (@p44 @p28))
% 0.38/0.56  (step @p46 :rule cong :premises (@p45) :args (@t11))
% 0.38/0.56  (step @p47 :rule eq_resolve :premises (@p3 @p46))
% 0.38/0.56  (step @p48 false :rule eq_resolve :premises (@p47 @p26))
% 0.38/0.56  )
% 0.38/0.56  % SZS output end Proof
% 0.38/0.56  % cvc5 exiting
%------------------------------------------------------------------------------