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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI417_1 : TPTP v9.2.1. Released v5.0.0.
% 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 08:07:38 AM UTC 2026

% Result   : Theorem 0.33s 0.56s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI417_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n020.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Wed Jun  3 02:28:41 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.33/0.50  %----Proving TF0_ARI
% 0.33/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.33/0.56  % SZS status Theorem
% 0.33/0.56  % SZS output start Proof
% 0.33/0.56  (
% 0.33/0.56  (define @t1 () (@var "Y" Real))
% 0.33/0.56  (define @t2 () (- 7))
% 0.33/0.56  (define @t3 () (/ @t2 2))
% 0.33/0.56  (define @t4 () (/ 41 20))
% 0.33/0.56  (define @t5 () (+ @t4 @t3))
% 0.33/0.56  (define @t6 () (= @t5 @t1))
% 0.33/0.56  (define @t7 () (@list @t1))
% 0.33/0.56  (define @t8 () (exists @t7 @t6))
% 0.33/0.56  (define @t9 () (not @t8))
% 0.33/0.56  (define @t10 () (= -29/20 -29/20))
% 0.33/0.56  (define @t11 () (not @t10))
% 0.33/0.56  (define @t12 () (= @t1 -29/20))
% 0.33/0.56  (define @t13 () (not @t12))
% 0.33/0.56  (define @t14 () (or @t13 @t13))
% 0.33/0.56  (define @t15 () (forall @t7 @t13))
% 0.33/0.56  (define @t16 () (not @t15))
% 0.33/0.56  (define @t17 () (to_real @t2))
% 0.33/0.56  (define @t18 () (* @t17 1/2))
% 0.33/0.56  (assume @p1 @t9)
% 0.33/0.56  (assume @p2 true)
% 0.33/0.56  (step @p3 :rule evaluate :args ((not true)))
% 0.33/0.56  (step @p4 :rule evaluate :args ((not false)))
% 0.33/0.56  (step @p5 :rule evaluate :args (@t10))
% 0.33/0.56  (step @p6 :rule cong :premises (@p5) :args (@t11))
% 0.33/0.56  (step @p7 :rule trans :premises (@p6 @p3))
% 0.33/0.56  (step @p8 :rule quant-var-elim-eq :args ((= (forall @t7 @t14) @t11)))
% 0.33/0.56  (step @p9 :rule aci_norm :args ((= @t13 @t14)))
% 0.33/0.56  (step @p10 :rule cong :premises (@p9) :args (@t15))
% 0.33/0.56  (step @p11 :rule trans :premises (@p10 @p8))
% 0.33/0.56  (step @p12 :rule trans :premises (@p11 @p7))
% 0.33/0.56  (step @p13 :rule cong :premises (@p12) :args (@t16))
% 0.33/0.56  (step @p14 :rule trans :premises (@p13 @p4))
% 0.33/0.56  (step @p15 :rule exists-elim :args ((= (exists @t7 @t12) @t16)))
% 0.33/0.56  (step @p16 :rule trans :premises (@p15 @p14))
% 0.33/0.56  (step @p17 :rule arith_poly_norm :args ((= (* 29/20 (- -29/20 @t1)) (* -29/20 (- @t1 -29/20)))))
% 0.33/0.56  (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= (= -29/20 @t1) @t12)))
% 0.33/0.56  (step @p19 :rule refl :args (@t1))
% 0.33/0.56  (step @p20 :rule evaluate :args ((+ 41/20 -7/2)))
% 0.33/0.56  (step @p21 :rule evaluate :args ((* -7/1 1/2)))
% 0.33/0.56  (step @p22 :rule refl :args (1/2))
% 0.33/0.56  (step @p23 :rule evaluate :args ((to_real -7)))
% 0.33/0.56  (step @p24 :rule evaluate :args (@t2))
% 0.33/0.56  (step @p25 :rule cong :premises (@p24) :args (@t17))
% 0.33/0.56  (step @p26 :rule trans :premises (@p25 @p23))
% 0.33/0.56  (step @p27 :rule nary_cong :premises (@p26 @p22) :args (@t18))
% 0.33/0.56  (step @p28 :rule trans :premises (@p27 @p21))
% 0.33/0.56  (step @p29 :rule evaluate :args (@t18))
% 0.33/0.56  (step @p30 :rule symm :premises (@p29))
% 0.33/0.56  (step @p31 :rule evaluate :args (@t3))
% 0.33/0.56  (step @p32 :rule trans :premises (@p31 @p30))
% 0.33/0.56  (step @p33 :rule trans :premises (@p32 @p28))
% 0.33/0.56  (step @p34 :rule evaluate :args (@t4))
% 0.33/0.56  (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t5))
% 0.33/0.56  (step @p36 :rule trans :premises (@p35 @p20))
% 0.33/0.56  (step @p37 :rule cong :premises (@p36 @p19) :args (@t6))
% 0.33/0.56  (step @p38 :rule trans :premises (@p37 @p18))
% 0.33/0.56  (step @p39 :rule cong :premises (@p38) :args (@t8))
% 0.33/0.56  (step @p40 :rule trans :premises (@p39 @p16))
% 0.33/0.56  (step @p41 :rule cong :premises (@p40) :args (@t9))
% 0.33/0.56  (step @p42 :rule trans :premises (@p41 @p3))
% 0.33/0.56  (step @p43 false :rule eq_resolve :premises (@p1 @p42))
% 0.33/0.56  )
% 0.33/0.56  % SZS output end Proof
% 0.33/0.56  % cvc5 exiting
%------------------------------------------------------------------------------