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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI700_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 : n020.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 0.39s 0.56s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ARI700_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
% 0.16/0.35  % Computer : n020.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Wed Jun  3 02:31:56 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.33/0.51  %----Proving TF0_ARI
% 0.39/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.39/0.56  % SZS status Theorem
% 0.39/0.56  % SZS output start Proof
% 0.39/0.56  (
% 0.39/0.56  (declare-const tptp.x Int)
% 0.39/0.56  (declare-const tptp.b Int)
% 0.39/0.56  (declare-const tptp.y Int)
% 0.39/0.56  (declare-const tptp.a Int)
% 0.39/0.56  (define @t1 () (* (* 98164184 tptp.y) tptp.y))
% 0.39/0.56  (define @t2 () (= @t1 tptp.a))
% 0.39/0.56  (define @t3 () (* (* 6472 tptp.x) tptp.y))
% 0.39/0.56  (define @t4 () (= @t3 tptp.b))
% 0.39/0.56  (define @t5 () (* (* 123 tptp.b) tptp.b))
% 0.39/0.56  (define @t6 () (* 12270523 @t5))
% 0.39/0.56  (define @t7 () (* (* 123 tptp.x) tptp.x))
% 0.39/0.56  (define @t8 () (* @t7 tptp.a))
% 0.39/0.56  (define @t9 () (* 5235848 @t8))
% 0.39/0.56  (define @t10 () (= @t9 @t6))
% 0.39/0.56  (define @t11 () (not @t10))
% 0.39/0.56  (define @t12 () (* tptp.y tptp.y tptp.x tptp.x))
% 0.39/0.56  (define @t13 () (* 513972746468032 @t12))
% 0.39/0.56  (define @t14 () (* 41886784 @t12))
% 0.39/0.56  (define @t15 () (* 6472 (* tptp.y tptp.x)))
% 0.39/0.56  (define @t16 () (* @t15 @t15))
% 0.39/0.56  (define @t17 () (* 12270523 @t16))
% 0.39/0.56  (define @t18 () (* 98164184 @t12))
% 0.39/0.56  (define @t19 () (* 98164184 (* tptp.y tptp.y)))
% 0.39/0.56  (define @t20 () (* @t19 tptp.x tptp.x))
% 0.39/0.56  (define @t21 () (* 5235848 @t20))
% 0.39/0.56  (define @t22 () (= @t21 @t17))
% 0.39/0.56  (define @t23 () (* tptp.b tptp.b))
% 0.39/0.56  (define @t24 () (* 12270523 @t23))
% 0.39/0.56  (define @t25 () (* tptp.a tptp.x tptp.x))
% 0.39/0.56  (define @t26 () (* 5235848 @t25))
% 0.39/0.56  (define @t27 () (= @t26 @t24))
% 0.39/0.56  (define @t28 () (* 1509274329 @t23))
% 0.39/0.56  (define @t29 () (* 644009304 @t25))
% 0.39/0.56  (define @t30 () (* 123 @t23))
% 0.39/0.56  (define @t31 () (* 123 @t25))
% 0.39/0.56  (define @t32 () (* 123 (* tptp.x tptp.x)))
% 0.39/0.56  (assume @p1 @t2)
% 0.39/0.56  (assume @p2 @t4)
% 0.39/0.56  (assume @p3 @t11)
% 0.39/0.56  (assume @p4 true)
% 0.39/0.56  (step @p5 :rule evaluate :args ((not true)))
% 0.39/0.56  (step @p6 :rule eq-refl :args (@t13))
% 0.39/0.56  (step @p7 :rule arith_poly_norm :args ((= (* 12270523 @t14) @t13)))
% 0.39/0.56  (step @p8 :rule arith_poly_norm :args ((= @t16 @t14)))
% 0.39/0.56  (step @p9 :rule refl :args (12270523))
% 0.39/0.56  (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t17))
% 0.39/0.56  (step @p11 :rule trans :premises (@p10 @p7))
% 0.39/0.56  (step @p12 :rule arith_poly_norm :args ((= (* 5235848 @t18) @t13)))
% 0.39/0.56  (step @p13 :rule arith_poly_norm :args ((= @t20 @t18)))
% 0.39/0.56  (step @p14 :rule refl :args (5235848))
% 0.39/0.56  (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t21))
% 0.39/0.56  (step @p16 :rule trans :premises (@p15 @p12))
% 0.39/0.56  (step @p17 :rule cong :premises (@p16 @p11) :args (@t22))
% 0.39/0.56  (step @p18 :rule trans :premises (@p17 @p6))
% 0.39/0.56  (step @p19 :rule cong :premises (@p18) :args ((not @t22)))
% 0.39/0.56  (step @p20 :rule trans :premises (@p19 @p5))
% 0.39/0.56  (step @p21 :rule arith_poly_norm :args ((= (* 1 (- @t15 tptp.b)) (* -1 (- tptp.b @t15)))))
% 0.39/0.56  (step @p22 :rule arith_poly_norm_rel :premises (@p21) :args ((= (= @t15 tptp.b) (= tptp.b @t15))))
% 0.39/0.56  (step @p23 :rule refl :args (tptp.b))
% 0.39/0.56  (step @p24 :rule arith_poly_norm :args ((= @t3 @t15)))
% 0.39/0.56  (step @p25 :rule cong :premises (@p24 @p23) :args (@t4))
% 0.39/0.56  (step @p26 :rule trans :premises (@p25 @p22))
% 0.39/0.56  (step @p27 :rule eq_resolve :premises (@p2 @p26))
% 0.39/0.56  (step @p28 :rule nary_cong :premises (@p27 @p27) :args (@t23))
% 0.39/0.56  (step @p29 :rule nary_cong :premises (@p9 @p28) :args (@t24))
% 0.39/0.56  (step @p30 :rule refl :args (tptp.x))
% 0.39/0.56  (step @p31 :rule arith_poly_norm :args ((= (* 1 (- @t19 tptp.a)) (* -1 (- tptp.a @t19)))))
% 0.39/0.56  (step @p32 :rule arith_poly_norm_rel :premises (@p31) :args ((= (= @t19 tptp.a) (= tptp.a @t19))))
% 0.39/0.56  (step @p33 :rule refl :args (tptp.a))
% 0.39/0.56  (step @p34 :rule arith_poly_norm :args ((= @t1 @t19)))
% 0.39/0.56  (step @p35 :rule cong :premises (@p34 @p33) :args (@t2))
% 0.39/0.56  (step @p36 :rule trans :premises (@p35 @p32))
% 0.39/0.56  (step @p37 :rule eq_resolve :premises (@p1 @p36))
% 0.39/0.56  (step @p38 :rule nary_cong :premises (@p37 @p30 @p30) :args (@t25))
% 0.39/0.56  (step @p39 :rule nary_cong :premises (@p14 @p38) :args (@t26))
% 0.39/0.56  (step @p40 :rule cong :premises (@p39 @p29) :args (@t27))
% 0.39/0.56  (step @p41 :rule cong :premises (@p40) :args ((not @t27)))
% 0.39/0.56  (step @p42 :rule trans :premises (@p41 @p20))
% 0.39/0.56  (step @p43 :rule arith_poly_norm :args ((= (* 5235848 (- @t29 @t28)) (* 644009304 (- @t26 @t24)))))
% 0.39/0.56  (step @p44 :rule arith_poly_norm_rel :premises (@p43) :args ((= (= @t29 @t28) @t27)))
% 0.39/0.56  (step @p45 :rule arith_poly_norm :args ((= (* 12270523 @t30) @t28)))
% 0.39/0.56  (step @p46 :rule arith_poly_norm :args ((= @t5 @t30)))
% 0.39/0.56  (step @p47 :rule nary_cong :premises (@p9 @p46) :args (@t6))
% 0.39/0.56  (step @p48 :rule trans :premises (@p47 @p45))
% 0.39/0.56  (step @p49 :rule arith_poly_norm :args ((= (* 5235848 @t31) @t29)))
% 0.39/0.56  (step @p50 :rule arith_poly_norm :args ((= (* @t32 tptp.a) @t31)))
% 0.39/0.56  (step @p51 :rule arith_poly_norm :args ((= @t7 @t32)))
% 0.39/0.56  (step @p52 :rule nary_cong :premises (@p51 @p33) :args (@t8))
% 0.39/0.56  (step @p53 :rule trans :premises (@p52 @p50))
% 0.39/0.56  (step @p54 :rule nary_cong :premises (@p14 @p53) :args (@t9))
% 0.39/0.56  (step @p55 :rule trans :premises (@p54 @p49))
% 0.39/0.56  (step @p56 :rule cong :premises (@p55 @p48) :args (@t10))
% 0.39/0.56  (step @p57 :rule trans :premises (@p56 @p44))
% 0.39/0.56  (step @p58 :rule cong :premises (@p57) :args (@t11))
% 0.39/0.56  (step @p59 :rule eq_resolve :premises (@p3 @p58))
% 0.39/0.56  (step @p60 false :rule eq_resolve :premises (@p59 @p42))
% 0.39/0.56  )
% 0.39/0.56  % SZS output end Proof
% 0.39/0.57  % cvc5 exiting
%------------------------------------------------------------------------------