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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI435_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 : n029.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 08:07:41 AM UTC 2026

% Result   : Theorem 0.28s 0.56s
% Output   : Proof 0.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI435_1 : TPTP v9.2.1. Released v5.0.0.
% 0.13/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n029.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 02:28:32 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.28/0.51  %----Proving TF0_ARI
% 0.28/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.28/0.56  % SZS status Theorem
% 0.28/0.56  % SZS output start Proof
% 0.28/0.56  (
% 0.28/0.56  (define @t1 () (@var "X" Real))
% 0.28/0.56  (define @t2 () (- 32))
% 0.28/0.56  (define @t3 () (/ @t2 25))
% 0.28/0.56  (define @t4 () (- @t3 1/1))
% 0.28/0.56  (define @t5 () (= @t4 @t1))
% 0.28/0.56  (define @t6 () (@list @t1))
% 0.28/0.56  (define @t7 () (exists @t6 @t5))
% 0.28/0.56  (define @t8 () (not @t7))
% 0.28/0.56  (define @t9 () (= -57/25 -57/25))
% 0.28/0.56  (define @t10 () (not @t9))
% 0.28/0.56  (define @t11 () (= @t1 -57/25))
% 0.28/0.56  (define @t12 () (not @t11))
% 0.28/0.56  (define @t13 () (or @t12 @t12))
% 0.28/0.56  (define @t14 () (forall @t6 @t12))
% 0.28/0.56  (define @t15 () (not @t14))
% 0.28/0.56  (define @t16 () (* -1/1 1/1))
% 0.28/0.56  (define @t17 () (to_real @t2))
% 0.28/0.56  (define @t18 () (* @t17 1/25))
% 0.28/0.56  (define @t19 () (+ @t3 @t16))
% 0.28/0.56  (assume @p1 @t8)
% 0.28/0.56  (assume @p2 true)
% 0.28/0.56  (step @p3 :rule evaluate :args ((not true)))
% 0.28/0.56  (step @p4 :rule evaluate :args ((not false)))
% 0.28/0.56  (step @p5 :rule evaluate :args (@t9))
% 0.28/0.56  (step @p6 :rule cong :premises (@p5) :args (@t10))
% 0.28/0.56  (step @p7 :rule trans :premises (@p6 @p3))
% 0.28/0.56  (step @p8 :rule quant-var-elim-eq :args ((= (forall @t6 @t13) @t10)))
% 0.28/0.56  (step @p9 :rule aci_norm :args ((= @t12 @t13)))
% 0.28/0.56  (step @p10 :rule cong :premises (@p9) :args (@t14))
% 0.28/0.56  (step @p11 :rule trans :premises (@p10 @p8))
% 0.28/0.56  (step @p12 :rule trans :premises (@p11 @p7))
% 0.28/0.56  (step @p13 :rule cong :premises (@p12) :args (@t15))
% 0.28/0.56  (step @p14 :rule trans :premises (@p13 @p4))
% 0.28/0.56  (step @p15 :rule exists-elim :args ((= (exists @t6 @t11) @t15)))
% 0.28/0.56  (step @p16 :rule trans :premises (@p15 @p14))
% 0.28/0.56  (step @p17 :rule arith_poly_norm :args ((= (* 57/25 (- -57/25 @t1)) (* -57/25 (- @t1 -57/25)))))
% 0.28/0.56  (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= (= -57/25 @t1) @t11)))
% 0.28/0.56  (step @p19 :rule refl :args (@t1))
% 0.28/0.56  (step @p20 :rule evaluate :args ((+ -32/25 -1/1)))
% 0.28/0.56  (step @p21 :rule evaluate :args (@t16))
% 0.28/0.56  (step @p22 :rule evaluate :args ((* -32/1 1/25)))
% 0.28/0.56  (step @p23 :rule refl :args (1/25))
% 0.28/0.56  (step @p24 :rule evaluate :args ((to_real -32)))
% 0.28/0.56  (step @p25 :rule evaluate :args (@t2))
% 0.28/0.56  (step @p26 :rule cong :premises (@p25) :args (@t17))
% 0.28/0.56  (step @p27 :rule trans :premises (@p26 @p24))
% 0.28/0.56  (step @p28 :rule nary_cong :premises (@p27 @p23) :args (@t18))
% 0.28/0.56  (step @p29 :rule trans :premises (@p28 @p22))
% 0.28/0.56  (step @p30 :rule evaluate :args (@t18))
% 0.28/0.56  (step @p31 :rule symm :premises (@p30))
% 0.28/0.56  (step @p32 :rule evaluate :args (@t3))
% 0.28/0.56  (step @p33 :rule trans :premises (@p32 @p31))
% 0.28/0.56  (step @p34 :rule trans :premises (@p33 @p29))
% 0.28/0.56  (step @p35 :rule nary_cong :premises (@p34 @p21) :args (@t19))
% 0.28/0.56  (step @p36 :rule trans :premises (@p35 @p20))
% 0.28/0.56  (step @p37 :rule evaluate :args (@t19))
% 0.28/0.56  (step @p38 :rule symm :premises (@p37))
% 0.28/0.56  (step @p39 :rule evaluate :args (@t4))
% 0.28/0.56  (step @p40 :rule trans :premises (@p39 @p38))
% 0.28/0.56  (step @p41 :rule trans :premises (@p40 @p36))
% 0.28/0.56  (step @p42 :rule cong :premises (@p41 @p19) :args (@t5))
% 0.28/0.56  (step @p43 :rule trans :premises (@p42 @p18))
% 0.28/0.56  (step @p44 :rule cong :premises (@p43) :args (@t7))
% 0.28/0.56  (step @p45 :rule trans :premises (@p44 @p16))
% 0.28/0.56  (step @p46 :rule cong :premises (@p45) :args (@t8))
% 0.28/0.56  (step @p47 :rule trans :premises (@p46 @p3))
% 0.28/0.56  (step @p48 false :rule eq_resolve :premises (@p1 @p47))
% 0.28/0.56  )
% 0.28/0.56  % SZS output end Proof
% 0.28/0.56  % cvc5 exiting
%------------------------------------------------------------------------------