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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI707_1 : TPTP v9.2.1. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n027.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 0.32s 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  : ARI707_1 : TPTP v9.2.1. Released v6.3.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.35  % Computer : n027.cluster.edu
% 0.20/0.35  % Model    : x86_64 x86_64
% 0.20/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.35  % Memory   : 8042.1875MB
% 0.20/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.35  % CPULimit : 300
% 0.20/0.35  % WCLimit  : 300
% 0.20/0.35  % DateTime : Wed Jun  3 02:32:36 EDT 2026
% 0.20/0.35  % CPUTime  : 
% 0.32/0.51  %----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.c Int)
% 0.32/0.56  (declare-const tptp.d Int)
% 0.32/0.56  (define @t1 () (* (* 2 tptp.d) tptp.d))
% 0.32/0.56  (define @t2 () (* tptp.d tptp.d))
% 0.32/0.56  (define @t3 () (+ @t2 tptp.c))
% 0.32/0.56  (define @t4 () (= @t3 @t1))
% 0.32/0.56  (define @t5 () (* tptp.c tptp.c))
% 0.32/0.56  (define @t6 () (* tptp.c tptp.d))
% 0.32/0.56  (define @t7 () (* @t6 tptp.d))
% 0.32/0.56  (define @t8 () (= @t7 @t5))
% 0.32/0.56  (define @t9 () (not @t8))
% 0.32/0.56  (define @t10 () (* tptp.d tptp.d tptp.d tptp.d))
% 0.32/0.56  (define @t11 () (* tptp.d tptp.d))
% 0.32/0.56  (define @t12 () (* @t11 @t11))
% 0.32/0.56  (define @t13 () (* tptp.d tptp.d @t11))
% 0.32/0.56  (define @t14 () (= @t13 @t12))
% 0.32/0.56  (define @t15 () (* 2 @t11))
% 0.32/0.56  (define @t16 () (+ tptp.c @t11))
% 0.32/0.56  (define @t17 () (* tptp.c tptp.c))
% 0.32/0.56  (define @t18 () (* tptp.d tptp.d tptp.c))
% 0.32/0.56  (define @t19 () (= @t18 @t17))
% 0.32/0.56  (define @t20 () (* tptp.d tptp.c))
% 0.32/0.56  (assume @p1 @t4)
% 0.32/0.56  (assume @p2 @t9)
% 0.32/0.56  (assume @p3 true)
% 0.32/0.56  (step @p4 :rule evaluate :args ((not true)))
% 0.32/0.56  (step @p5 :rule eq-refl :args (@t10))
% 0.32/0.56  (step @p6 :rule arith_poly_norm :args ((= @t12 @t10)))
% 0.32/0.56  (step @p7 :rule arith_poly_norm :args ((= @t13 @t10)))
% 0.32/0.56  (step @p8 :rule cong :premises (@p7 @p6) :args (@t14))
% 0.32/0.56  (step @p9 :rule trans :premises (@p8 @p5))
% 0.32/0.56  (step @p10 :rule cong :premises (@p9) :args ((not @t14)))
% 0.32/0.56  (step @p11 :rule trans :premises (@p10 @p4))
% 0.32/0.56  (step @p12 :rule arith_poly_norm :args ((= (* 1 (- @t16 @t15)) (* 1 (- tptp.c @t11)))))
% 0.32/0.56  (step @p13 :rule arith_poly_norm_rel :premises (@p12) :args ((= (= @t16 @t15) (= tptp.c @t11))))
% 0.32/0.56  (step @p14 :rule arith_poly_norm :args ((= @t1 @t15)))
% 0.32/0.56  (step @p15 :rule arith_poly_norm :args ((= (+ @t11 tptp.c) @t16)))
% 0.32/0.56  (step @p16 :rule refl :args (tptp.c))
% 0.32/0.56  (step @p17 :rule arith_poly_norm :args ((= @t2 @t11)))
% 0.32/0.56  (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t3))
% 0.32/0.56  (step @p19 :rule trans :premises (@p18 @p15))
% 0.32/0.56  (step @p20 :rule cong :premises (@p19 @p14) :args (@t4))
% 0.32/0.56  (step @p21 :rule trans :premises (@p20 @p13))
% 0.32/0.56  (step @p22 :rule eq_resolve :premises (@p1 @p21))
% 0.32/0.56  (step @p23 :rule nary_cong :premises (@p22 @p22) :args (@t17))
% 0.32/0.56  (step @p24 :rule refl :args (tptp.d))
% 0.32/0.56  (step @p25 :rule nary_cong :premises (@p24 @p24 @p22) :args (@t18))
% 0.32/0.56  (step @p26 :rule cong :premises (@p25 @p23) :args (@t19))
% 0.32/0.56  (step @p27 :rule cong :premises (@p26) :args ((not @t19)))
% 0.32/0.56  (step @p28 :rule trans :premises (@p27 @p11))
% 0.32/0.56  (step @p29 :rule arith_poly_norm :args ((= @t5 @t17)))
% 0.32/0.56  (step @p30 :rule arith_poly_norm :args ((= (* @t20 tptp.d) @t18)))
% 0.32/0.56  (step @p31 :rule arith_poly_norm :args ((= @t6 @t20)))
% 0.32/0.56  (step @p32 :rule nary_cong :premises (@p31 @p24) :args (@t7))
% 0.32/0.56  (step @p33 :rule trans :premises (@p32 @p30))
% 0.32/0.56  (step @p34 :rule cong :premises (@p33 @p29) :args (@t8))
% 0.32/0.56  (step @p35 :rule cong :premises (@p34) :args (@t9))
% 0.32/0.56  (step @p36 :rule eq_resolve :premises (@p2 @p35))
% 0.32/0.56  (step @p37 false :rule eq_resolve :premises (@p36 @p28))
% 0.32/0.56  )
% 0.32/0.56  % SZS output end Proof
% 0.32/0.56  % cvc5 exiting
%------------------------------------------------------------------------------