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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI626_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 : n015.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 0.28s 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  : ARI626_1 : TPTP v9.2.1. Released v6.1.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n015.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 02:30:34 EDT 2026
% 0.17/0.34  % 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 "X" Int))
% 0.28/0.55  (define @t2 () (+ 18446744073709551616 18446744073709551616))
% 0.28/0.55  (define @t3 () (= @t1 @t2))
% 0.28/0.55  (define @t4 () (and @t3 (> @t1 0)))
% 0.28/0.55  (define @t5 () (@list @t1))
% 0.28/0.55  (define @t6 () (exists @t5 @t4))
% 0.28/0.55  (define @t7 () (not @t6))
% 0.28/0.55  (define @t8 () (>= 36893488147419103232 1))
% 0.28/0.55  (define @t9 () (not @t8))
% 0.28/0.55  (define @t10 () (= 36893488147419103232 36893488147419103232))
% 0.28/0.55  (define @t11 () (not @t10))
% 0.28/0.55  (define @t12 () (or @t11 @t9))
% 0.28/0.55  (define @t13 () (>= @t1 1))
% 0.28/0.55  (define @t14 () (not @t13))
% 0.28/0.55  (define @t15 () (= @t1 36893488147419103232))
% 0.28/0.55  (define @t16 () (not @t15))
% 0.28/0.55  (define @t17 () (or @t16 @t16 @t14))
% 0.28/0.55  (define @t18 () (or @t16 @t14))
% 0.28/0.55  (define @t19 () (and @t15 @t13))
% 0.28/0.55  (define @t20 () (forall @t5 (not @t19)))
% 0.28/0.55  (define @t21 () (not @t20))
% 0.28/0.55  (define @t22 () (+ 0 1))
% 0.28/0.55  (define @t23 () (>= @t1 @t22))
% 0.28/0.55  (assume @p1 @t7)
% 0.28/0.55  (assume @p2 true)
% 0.28/0.55  (step @p3 :rule evaluate :args ((not true)))
% 0.28/0.55  (step @p4 :rule evaluate :args ((not false)))
% 0.28/0.55  (step @p5 :rule evaluate :args ((or false false)))
% 0.28/0.55  (step @p6 :rule evaluate :args (@t8))
% 0.28/0.55  (step @p7 :rule cong :premises (@p6) :args (@t9))
% 0.28/0.55  (step @p8 :rule trans :premises (@p7 @p3))
% 0.28/0.55  (step @p9 :rule evaluate :args (@t10))
% 0.28/0.55  (step @p10 :rule cong :premises (@p9) :args (@t11))
% 0.28/0.55  (step @p11 :rule trans :premises (@p10 @p3))
% 0.28/0.55  (step @p12 :rule nary_cong :premises (@p11 @p8) :args (@t12))
% 0.28/0.55  (step @p13 :rule trans :premises (@p12 @p5))
% 0.28/0.55  (step @p14 :rule quant-var-elim-eq :args ((= (forall @t5 @t17) @t12)))
% 0.28/0.55  (step @p15 :rule aci_norm :args ((= @t18 @t17)))
% 0.28/0.55  (step @p16 :rule cong :premises (@p15) :args ((forall @t5 @t18)))
% 0.28/0.55  (step @p17 :rule trans :premises (@p16 @p14))
% 0.28/0.55  (step @p18 :rule trans :premises (@p17 @p13))
% 0.28/0.55  (step @p19 :rule bool-and-de-morgan :args (@t15 @t13 true))
% 0.28/0.55  (step @p20 :rule cong :premises (@p19) :args (@t20))
% 0.28/0.55  (step @p21 :rule trans :premises (@p20 @p18))
% 0.28/0.55  (step @p22 :rule cong :premises (@p21) :args (@t21))
% 0.28/0.55  (step @p23 :rule trans :premises (@p22 @p4))
% 0.28/0.55  (step @p24 :rule exists-elim :args ((= (exists @t5 @t19) @t21)))
% 0.28/0.55  (step @p25 :rule trans :premises (@p24 @p23))
% 0.28/0.55  (step @p26 :rule bool-double-not-elim :args (@t13))
% 0.28/0.55  (step @p27 :rule evaluate :args (@t22))
% 0.28/0.55  (step @p28 :rule refl :args (@t1))
% 0.28/0.55  (step @p29 :rule cong :premises (@p28 @p27) :args (@t23))
% 0.28/0.55  (step @p30 :rule cong :premises (@p29) :args ((not @t23)))
% 0.28/0.55  (step @p31 :rule arith-leq-norm :args (@t1 0))
% 0.28/0.55  (step @p32 :rule trans :premises (@p31 @p30))
% 0.28/0.55  (step @p33 :rule cong :premises (@p32) :args ((not (<= @t1 0))))
% 0.28/0.55  (step @p34 :rule trans :premises (@p33 @p26))
% 0.28/0.55  (step @p35 :rule arith-elim-leq :args (@t1 0))
% 0.28/0.55  (step @p36 :rule symm :premises (@p35))
% 0.28/0.55  (step @p37 :rule cong :premises (@p36) :args ((not (>= 0 @t1))))
% 0.28/0.55  (step @p38 :rule arith-elim-gt :args (@t1 0))
% 0.28/0.55  (step @p39 :rule trans :premises (@p38 @p37))
% 0.28/0.55  (step @p40 :rule trans :premises (@p39 @p34))
% 0.28/0.55  (step @p41 :rule evaluate :args (@t2))
% 0.28/0.55  (step @p42 :rule refl :args (@t1))
% 0.28/0.55  (step @p43 :rule cong :premises (@p42 @p41) :args (@t3))
% 0.28/0.55  (step @p44 :rule nary_cong :premises (@p43 @p40) :args (@t4))
% 0.28/0.55  (step @p45 :rule cong :premises (@p44) :args (@t6))
% 0.28/0.55  (step @p46 :rule trans :premises (@p45 @p25))
% 0.28/0.55  (step @p47 :rule cong :premises (@p46) :args (@t7))
% 0.28/0.55  (step @p48 :rule trans :premises (@p47 @p3))
% 0.28/0.55  (step @p49 false :rule eq_resolve :premises (@p1 @p48))
% 0.28/0.55  )
% 0.28/0.55  % SZS output end Proof
% 0.28/0.55  % cvc5 exiting
%------------------------------------------------------------------------------