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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI344_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 : n018.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 08:07:30 AM UTC 2026

% Result   : Theorem 0.36s 0.56s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ARI344_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
% 0.17/0.35  % Computer : n018.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Wed Jun  3 02:27:35 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.33/0.50  %----Proving TF0_ARI
% 0.36/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.36/0.56  % SZS status Theorem
% 0.36/0.56  % SZS output start Proof
% 0.36/0.56  (
% 0.36/0.56  (define @t1 () (/ 273 25))
% 0.36/0.56  (define @t2 () (@var "Y" Real))
% 0.36/0.56  (define @t3 () (/ 34 5))
% 0.36/0.56  (define @t4 () (* @t3 @t2))
% 0.36/0.56  (define @t5 () (@var "X" Real))
% 0.36/0.56  (define @t6 () (/ 16 5))
% 0.36/0.56  (define @t7 () (* @t6 @t5))
% 0.36/0.56  (define @t8 () (+ @t7 @t4))
% 0.36/0.56  (define @t9 () (= @t8 @t1))
% 0.36/0.56  (define @t10 () (@list @t5 @t2))
% 0.36/0.56  (define @t11 () (exists @t10 @t9))
% 0.36/0.56  (define @t12 () (not @t11))
% 0.36/0.56  (define @t13 () (@list @t2))
% 0.36/0.56  (define @t14 () (+ 273/80 (* -17/8 @t2)))
% 0.36/0.56  (define @t15 () (not (= @t14 @t14)))
% 0.36/0.56  (define @t16 () (= @t5 @t14))
% 0.36/0.56  (define @t17 () (not @t16))
% 0.36/0.56  (define @t18 () (or @t17 @t17))
% 0.36/0.56  (define @t19 () (@list @t5))
% 0.36/0.56  (define @t20 () (forall @t19 @t17))
% 0.36/0.56  (define @t21 () (forall @t13 @t20))
% 0.36/0.56  (define @t22 () (forall (@list @t2 @t5) @t17))
% 0.36/0.56  (define @t23 () (forall @t10 @t17))
% 0.36/0.56  (define @t24 () (not @t23))
% 0.36/0.56  (define @t25 () (+ (* 16/5 @t5) (* 34/5 @t2)))
% 0.36/0.56  (assume @p1 @t12)
% 0.36/0.56  (assume @p2 true)
% 0.36/0.56  (step @p3 :rule evaluate :args ((not true)))
% 0.36/0.56  (step @p4 :rule evaluate :args ((not false)))
% 0.36/0.56  (step @p5 :rule quant-unused-vars :args ((= (forall @t13 false) false)))
% 0.36/0.56  (step @p6 :rule eq-refl :args (@t14))
% 0.36/0.56  (step @p7 :rule cong :premises (@p6) :args (@t15))
% 0.36/0.56  (step @p8 :rule trans :premises (@p7 @p3))
% 0.36/0.56  (step @p9 :rule cong :premises (@p8) :args ((forall @t13 @t15)))
% 0.36/0.56  (step @p10 :rule trans :premises (@p9 @p5))
% 0.36/0.56  (step @p11 :rule quant-var-elim-eq :args ((= (forall @t19 @t18) @t15)))
% 0.36/0.56  (step @p12 :rule aci_norm :args ((= @t17 @t18)))
% 0.36/0.56  (step @p13 :rule cong :premises (@p12) :args (@t20))
% 0.36/0.56  (step @p14 :rule trans :premises (@p13 @p11))
% 0.36/0.56  (step @p15 :rule cong :premises (@p14) :args (@t21))
% 0.36/0.56  (step @p16 :rule quant-merge-prenex :args ((= @t21 @t22)))
% 0.36/0.56  (step @p17 :rule symm :premises (@p16))
% 0.36/0.56  (step @p18 :rule quant_var_reordering :args ((= @t23 @t22)))
% 0.36/0.56  (step @p19 :rule trans :premises (@p18 @p17 @p15))
% 0.36/0.56  (step @p20 :rule trans :premises (@p19 @p10))
% 0.36/0.56  (step @p21 :rule cong :premises (@p20) :args (@t24))
% 0.36/0.56  (step @p22 :rule trans :premises (@p21 @p4))
% 0.36/0.56  (step @p23 :rule exists-elim :args ((= (exists @t10 @t16) @t24)))
% 0.36/0.56  (step @p24 :rule trans :premises (@p23 @p22))
% 0.36/0.56  (step @p25 :rule arith_poly_norm :args ((= (* -273/80 (- @t25 273/25)) (* -273/25 (- @t5 @t14)))))
% 0.36/0.56  (step @p26 :rule arith_poly_norm_rel :premises (@p25) :args ((= (= @t25 273/25) @t16)))
% 0.36/0.56  (step @p27 :rule evaluate :args (@t1))
% 0.36/0.56  (step @p28 :rule refl :args (@t2))
% 0.36/0.56  (step @p29 :rule evaluate :args (@t3))
% 0.36/0.56  (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t4))
% 0.36/0.56  (step @p31 :rule refl :args (@t5))
% 0.36/0.56  (step @p32 :rule evaluate :args (@t6))
% 0.36/0.56  (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t7))
% 0.36/0.56  (step @p34 :rule nary_cong :premises (@p33 @p30) :args (@t8))
% 0.36/0.56  (step @p35 :rule cong :premises (@p34 @p27) :args (@t9))
% 0.36/0.56  (step @p36 :rule trans :premises (@p35 @p26))
% 0.36/0.56  (step @p37 :rule cong :premises (@p36) :args (@t11))
% 0.36/0.56  (step @p38 :rule trans :premises (@p37 @p24))
% 0.36/0.56  (step @p39 :rule cong :premises (@p38) :args (@t12))
% 0.36/0.56  (step @p40 :rule trans :premises (@p39 @p3))
% 0.36/0.56  (step @p41 false :rule eq_resolve :premises (@p1 @p40))
% 0.36/0.56  )
% 0.36/0.56  % SZS output end Proof
% 0.36/0.56  % cvc5 exiting
%------------------------------------------------------------------------------