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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI627_1 : TPTP v9.2.1. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:08:00 AM UTC 2026

% Result   : Theorem 0.33s 0.57s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ARI627_1 : TPTP v9.2.1. Released v6.1.0.
% 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 : n020.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 02:30:41 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.33/0.51  %----Proving TF0_ARI
% 0.33/0.57  --- Run --finite-model-find --decision=internal at 45...
% 0.33/0.57  % SZS status Theorem
% 0.33/0.57  % SZS output start Proof
% 0.33/0.57  (
% 0.33/0.57  (define @t1 () (@var "X" Real))
% 0.33/0.57  (define @t2 () (= @t1 2/1))
% 0.33/0.57  (define @t3 () (not @t2))
% 0.33/0.57  (define @t4 () (/ 18446744073709551615 18446744073709551616))
% 0.33/0.57  (define @t5 () (+ @t4 @t4))
% 0.33/0.57  (define @t6 () (= @t1 @t5))
% 0.33/0.57  (define @t7 () (and @t6 @t3))
% 0.33/0.57  (define @t8 () (@list @t1))
% 0.33/0.57  (define @t9 () (exists @t8 @t7))
% 0.33/0.57  (define @t10 () (not @t9))
% 0.33/0.57  (define @t11 () (= 18446744073709551615/9223372036854775808 2/1))
% 0.33/0.57  (define @t12 () (= 18446744073709551615/9223372036854775808 18446744073709551615/9223372036854775808))
% 0.33/0.57  (define @t13 () (not @t12))
% 0.33/0.57  (define @t14 () (or @t13 @t11))
% 0.33/0.57  (define @t15 () (= @t1 18446744073709551615/9223372036854775808))
% 0.33/0.57  (define @t16 () (not @t15))
% 0.33/0.57  (define @t17 () (or @t16 @t16 @t2))
% 0.33/0.57  (define @t18 () (or @t16 @t2))
% 0.33/0.57  (define @t19 () (and @t15 @t3))
% 0.33/0.57  (define @t20 () (forall @t8 (not @t19)))
% 0.33/0.57  (define @t21 () (not @t20))
% 0.33/0.57  (assume @p1 @t10)
% 0.33/0.57  (assume @p2 true)
% 0.33/0.57  (step @p3 :rule evaluate :args ((not true)))
% 0.33/0.57  (step @p4 :rule evaluate :args ((not false)))
% 0.33/0.57  (step @p5 :rule evaluate :args ((or false false)))
% 0.33/0.57  (step @p6 :rule evaluate :args (@t11))
% 0.33/0.57  (step @p7 :rule evaluate :args (@t12))
% 0.33/0.57  (step @p8 :rule cong :premises (@p7) :args (@t13))
% 0.33/0.57  (step @p9 :rule trans :premises (@p8 @p3))
% 0.33/0.57  (step @p10 :rule nary_cong :premises (@p9 @p6) :args (@t14))
% 0.33/0.57  (step @p11 :rule trans :premises (@p10 @p5))
% 0.33/0.57  (step @p12 :rule quant-var-elim-eq :args ((= (forall @t8 @t17) @t14)))
% 0.33/0.57  (step @p13 :rule aci_norm :args ((= @t18 @t17)))
% 0.33/0.57  (step @p14 :rule cong :premises (@p13) :args ((forall @t8 @t18)))
% 0.33/0.57  (step @p15 :rule trans :premises (@p14 @p12))
% 0.33/0.57  (step @p16 :rule trans :premises (@p15 @p11))
% 0.33/0.57  (step @p17 :rule bool-double-not-elim :args (@t2))
% 0.33/0.57  (step @p18 :rule refl :args (@t16))
% 0.33/0.57  (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t16 (not @t3))))
% 0.33/0.57  (step @p20 :rule bool-and-de-morgan :args (@t15 @t3 true))
% 0.33/0.57  (step @p21 :rule trans :premises (@p20 @p19))
% 0.33/0.57  (step @p22 :rule cong :premises (@p21) :args (@t20))
% 0.33/0.57  (step @p23 :rule trans :premises (@p22 @p16))
% 0.33/0.57  (step @p24 :rule cong :premises (@p23) :args (@t21))
% 0.33/0.57  (step @p25 :rule trans :premises (@p24 @p4))
% 0.33/0.57  (step @p26 :rule exists-elim :args ((= (exists @t8 @t19) @t21)))
% 0.33/0.57  (step @p27 :rule trans :premises (@p26 @p25))
% 0.33/0.57  (step @p28 :rule refl :args (@t3))
% 0.33/0.57  (step @p29 :rule evaluate :args ((+ 18446744073709551615/18446744073709551616 18446744073709551615/18446744073709551616)))
% 0.33/0.57  (step @p30 :rule evaluate :args (@t4))
% 0.33/0.57  (step @p31 :rule nary_cong :premises (@p30 @p30) :args (@t5))
% 0.33/0.57  (step @p32 :rule trans :premises (@p31 @p29))
% 0.33/0.57  (step @p33 :rule refl :args (@t1))
% 0.33/0.57  (step @p34 :rule cong :premises (@p33 @p32) :args (@t6))
% 0.33/0.57  (step @p35 :rule nary_cong :premises (@p34 @p28) :args (@t7))
% 0.33/0.57  (step @p36 :rule cong :premises (@p35) :args (@t9))
% 0.33/0.57  (step @p37 :rule trans :premises (@p36 @p27))
% 0.33/0.57  (step @p38 :rule cong :premises (@p37) :args (@t10))
% 0.33/0.57  (step @p39 :rule trans :premises (@p38 @p3))
% 0.33/0.57  (step @p40 false :rule eq_resolve :premises (@p1 @p39))
% 0.33/0.57  )
% 0.33/0.57  % SZS output end Proof
% 0.33/0.57  % cvc5 exiting
%------------------------------------------------------------------------------