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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI235_1 : TPTP v9.2.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 08:07:20 AM UTC 2026

% Result   : Theorem 0.31s 0.56s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ARI235_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n004.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 02:26:53 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.31/0.50  %----Proving TF0_ARI
% 0.31/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.31/0.56  % SZS status Theorem
% 0.31/0.56  % SZS output start Proof
% 0.31/0.56  (
% 0.31/0.56  (define @t1 () (@var "Y" Real))
% 0.31/0.56  (define @t2 () (@var "X" Real))
% 0.31/0.56  (define @t3 () (>= @t2 @t1))
% 0.31/0.56  (define @t4 () (@list @t2 @t1))
% 0.31/0.56  (define @t5 () (exists @t4 @t3))
% 0.31/0.56  (define @t6 () (not @t5))
% 0.31/0.56  (define @t7 () (not true))
% 0.31/0.56  (define @t8 () (@list @t1))
% 0.31/0.56  (define @t9 () (* -1/1 @t1))
% 0.31/0.56  (define @t10 () (+ @t2 @t9))
% 0.31/0.56  (define @t11 () (>= @t10 0/1))
% 0.31/0.56  (define @t12 () (not @t11))
% 0.31/0.56  (define @t13 () (forall (@list @t2) @t12))
% 0.31/0.56  (define @t14 () (* -1/1 @t9))
% 0.31/0.56  (define @t15 () (+ @t14 @t9))
% 0.31/0.56  (define @t16 () (>= @t15 0/1))
% 0.31/0.56  (define @t17 () (forall @t8 @t13))
% 0.31/0.56  (define @t18 () (forall (@list @t1 @t2) @t12))
% 0.31/0.56  (define @t19 () (forall @t4 @t12))
% 0.31/0.56  (define @t20 () (not @t19))
% 0.31/0.56  (assume @p1 @t6)
% 0.31/0.56  (assume @p2 true)
% 0.31/0.56  (step @p3 :rule evaluate :args (@t7))
% 0.31/0.56  (step @p4 :rule evaluate :args ((not false)))
% 0.31/0.56  (step @p5 :rule quant-unused-vars :args ((= (forall @t8 false) false)))
% 0.31/0.56  (assume-push @p37 @t13)
% 0.31/0.56  (step @p7 :rule evaluate :args (@t7))
% 0.31/0.56  (step @p8 :rule evaluate :args ((>= 0/1 0/1)))
% 0.31/0.56  (step @p9 :rule refl :args (0/1))
% 0.31/0.56  (step @p10 :rule arith_poly_norm :args ((= @t15 0/1)))
% 0.31/0.56  (step @p11 :rule cong :premises (@p10 @p9) :args (@t16))
% 0.31/0.56  (step @p12 :rule trans :premises (@p11 @p8))
% 0.31/0.56  (step @p13 :rule cong :premises (@p12) :args ((not @t16)))
% 0.31/0.56  (step @p14 :rule trans :premises (@p13 @p7))
% 0.31/0.56  (step @p15 :rule instantiate :premises (@p37) :args ((@list @t14)))
% 0.31/0.56  (step @p16 false :rule eq_resolve :premises (@p15 @p14))
% 0.31/0.56  (step-pop @p38 :rule scope :premises (@p16))
% 0.31/0.56  (step @p17 :rule process_scope :premises (@p38) :args (false))
% 0.31/0.56  (step @p19 :rule false_intro :premises (@p17))
% 0.31/0.56  (step @p20 :rule cong :premises (@p19) :args (@t17))
% 0.31/0.56  (step @p21 :rule quant-merge-prenex :args ((= @t17 @t18)))
% 0.31/0.56  (step @p22 :rule symm :premises (@p21))
% 0.31/0.56  (step @p23 :rule quant_var_reordering :args ((= @t19 @t18)))
% 0.31/0.56  (step @p24 :rule trans :premises (@p23 @p22 @p20))
% 0.31/0.56  (step @p25 :rule trans :premises (@p24 @p5))
% 0.31/0.56  (step @p26 :rule cong :premises (@p25) :args (@t20))
% 0.31/0.56  (step @p27 :rule trans :premises (@p26 @p4))
% 0.31/0.56  (step @p28 :rule exists-elim :args ((= (exists @t4 @t11) @t20)))
% 0.31/0.56  (step @p29 :rule trans :premises (@p28 @p27))
% 0.31/0.56  (step @p30 :rule arith_poly_norm :args ((= (* 1/1 (- @t2 @t1)) (* 1/1 (- @t10 0/1)))))
% 0.31/0.56  (step @p31 :rule arith_poly_norm_rel :premises (@p30) :args ((= @t3 @t11)))
% 0.31/0.56  (step @p32 :rule cong :premises (@p31) :args (@t5))
% 0.31/0.56  (step @p33 :rule trans :premises (@p32 @p29))
% 0.31/0.56  (step @p34 :rule cong :premises (@p33) :args (@t6))
% 0.31/0.56  (step @p35 :rule trans :premises (@p34 @p3))
% 0.31/0.56  (step @p36 false :rule eq_resolve :premises (@p1 @p35))
% 0.31/0.56  )
% 0.31/0.56  % SZS output end Proof
% 0.31/0.56  % cvc5 exiting
%------------------------------------------------------------------------------