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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI363_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 : n025.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 08:07:32 AM UTC 2026

% Result   : Theorem 0.28s 0.55s
% Output   : Proof 0.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI363_1 : TPTP v9.2.1. Released v5.0.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n025.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Wed Jun  3 02:27:46 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.28/0.49  %----Proving TF0_ARI
% 0.28/0.55  --- Run --finite-model-find --decision=internal at 45...
% 0.28/0.55  % SZS status Theorem
% 0.28/0.55  % SZS output start Proof
% 0.28/0.55  (
% 0.28/0.55  (define @t1 () (@var "Y" Real))
% 0.28/0.55  (define @t2 () (@var "X" Real))
% 0.28/0.55  (define @t3 () (@list @t2 @t1))
% 0.28/0.55  (define @t4 () (exists @t3 (<= @t2 @t1)))
% 0.28/0.55  (define @t5 () (not @t4))
% 0.28/0.55  (define @t6 () (not true))
% 0.28/0.55  (define @t7 () (@list @t1))
% 0.28/0.55  (define @t8 () (+ (* -1/1 @t2) @t1))
% 0.28/0.55  (define @t9 () (>= @t8 0/1))
% 0.28/0.55  (define @t10 () (not @t9))
% 0.28/0.55  (define @t11 () (forall (@list @t2) @t10))
% 0.28/0.55  (define @t12 () (+ (* -1/1 @t1) @t1))
% 0.28/0.55  (define @t13 () (>= @t12 0/1))
% 0.28/0.55  (define @t14 () (forall @t7 @t11))
% 0.28/0.55  (define @t15 () (forall (@list @t1 @t2) @t10))
% 0.28/0.55  (define @t16 () (forall @t3 @t10))
% 0.28/0.55  (define @t17 () (not @t16))
% 0.28/0.55  (assume @p1 @t5)
% 0.28/0.55  (assume @p2 true)
% 0.28/0.55  (step @p3 :rule evaluate :args (@t6))
% 0.28/0.55  (step @p4 :rule evaluate :args ((not false)))
% 0.28/0.55  (step @p5 :rule quant-unused-vars :args ((= (forall @t7 false) false)))
% 0.28/0.55  (assume-push @p39 @t11)
% 0.28/0.55  (step @p7 :rule evaluate :args (@t6))
% 0.28/0.55  (step @p8 :rule evaluate :args ((>= 0/1 0/1)))
% 0.28/0.55  (step @p9 :rule refl :args (0/1))
% 0.28/0.55  (step @p10 :rule arith_poly_norm :args ((= @t12 0/1)))
% 0.28/0.55  (step @p11 :rule cong :premises (@p10 @p9) :args (@t13))
% 0.28/0.55  (step @p12 :rule trans :premises (@p11 @p8))
% 0.28/0.55  (step @p13 :rule cong :premises (@p12) :args ((not @t13)))
% 0.28/0.55  (step @p14 :rule trans :premises (@p13 @p7))
% 0.28/0.55  (step @p15 :rule instantiate :premises (@p39) :args ((@list @t1)))
% 0.28/0.55  (step @p16 false :rule eq_resolve :premises (@p15 @p14))
% 0.28/0.55  (step-pop @p40 :rule scope :premises (@p16))
% 0.28/0.55  (step @p17 :rule process_scope :premises (@p40) :args (false))
% 0.28/0.55  (step @p19 :rule false_intro :premises (@p17))
% 0.28/0.55  (step @p20 :rule cong :premises (@p19) :args (@t14))
% 0.28/0.55  (step @p21 :rule quant-merge-prenex :args ((= @t14 @t15)))
% 0.28/0.55  (step @p22 :rule symm :premises (@p21))
% 0.28/0.55  (step @p23 :rule quant_var_reordering :args ((= @t16 @t15)))
% 0.28/0.55  (step @p24 :rule trans :premises (@p23 @p22 @p20))
% 0.28/0.55  (step @p25 :rule trans :premises (@p24 @p5))
% 0.28/0.55  (step @p26 :rule cong :premises (@p25) :args (@t17))
% 0.28/0.55  (step @p27 :rule trans :premises (@p26 @p4))
% 0.28/0.55  (step @p28 :rule exists-elim :args ((= (exists @t3 @t9) @t17)))
% 0.28/0.55  (step @p29 :rule trans :premises (@p28 @p27))
% 0.28/0.55  (step @p30 :rule arith_poly_norm :args ((= (* -1/1 (- @t1 @t2)) (* -1/1 (- @t8 0/1)))))
% 0.28/0.55  (step @p31 :rule arith_poly_norm_rel :premises (@p30) :args ((= (>= @t1 @t2) @t9)))
% 0.28/0.55  (step @p32 :rule arith-elim-leq :args (@t2 @t1))
% 0.28/0.55  (step @p33 :rule trans :premises (@p32 @p31))
% 0.28/0.55  (step @p34 :rule cong :premises (@p33) :args (@t4))
% 0.28/0.55  (step @p35 :rule trans :premises (@p34 @p29))
% 0.28/0.55  (step @p36 :rule cong :premises (@p35) :args (@t5))
% 0.28/0.55  (step @p37 :rule trans :premises (@p36 @p3))
% 0.28/0.55  (step @p38 false :rule eq_resolve :premises (@p1 @p37))
% 0.28/0.55  )
% 0.28/0.55  % SZS output end Proof
% 0.28/0.55  % cvc5 exiting
%------------------------------------------------------------------------------