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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI593_1 : TPTP v9.2.1. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 08:07:56 AM UTC 2026

% Result   : Theorem 105.42s 105.68s
% Output   : Proof 105.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI593_1 : TPTP v9.2.1. Released v5.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n019.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 02:29:49 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_ARI
% 105.42/105.68  --- Run --finite-model-find --decision=internal at 45...
% 105.42/105.68  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60...
% 105.42/105.68  --- Run --no-e-matching --full-saturate-quant at 45...
% 105.42/105.68  --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45...
% 105.42/105.68  % SZS status Theorem
% 105.42/105.68  % SZS output start Proof
% 105.42/105.68  (
% 105.42/105.68  (declare-const tptp.p (-> Int Bool))
% 105.42/105.68  (define @t1 () (@var "X" Int))
% 105.42/105.68  (define @t2 () (tptp.p (* 3 @t1)))
% 105.42/105.68  (define @t3 () (@list @t1))
% 105.42/105.68  (define @t4 () (exists @t3 @t2))
% 105.42/105.68  (define @t5 () (tptp.p 6))
% 105.42/105.68  (define @t6 () (and (tptp.p 5) @t5 (tptp.p 7)))
% 105.42/105.68  (define @t7 () (=> @t6 @t4))
% 105.42/105.68  (define @t8 () (not @t7))
% 105.42/105.68  (define @t9 () (forall @t3 (not @t2)))
% 105.42/105.68  (define @t10 () (* 3 2))
% 105.42/105.68  (define @t11 () (tptp.p @t10))
% 105.42/105.68  (define @t12 () (not @t11))
% 105.42/105.68  (assume @p1 @t8)
% 105.42/105.68  (assume @p2 true)
% 105.42/105.68  (step @p3 :rule exists-elim :args ((= @t4 (not @t9))))
% 105.42/105.68  (step @p4 :rule refl :args (@t6))
% 105.42/105.68  (step @p5 :rule cong :premises (@p4 @p3) :args (@t7))
% 105.42/105.68  (step @p6 :rule cong :premises (@p5) :args (@t8))
% 105.42/105.68  (step @p7 :rule eq_resolve :premises (@p1 @p6))
% 105.42/105.68  (step @p8 :rule not_implies_elim1 :premises (@p7))
% 105.42/105.68  (step @p9 :rule and_elim :premises (@p8) :args (1))
% 105.42/105.68  (step @p10 :rule not_implies_elim2 :premises (@p7))
% 105.42/105.68  (step @p11 :rule not_not_elim :premises (@p10))
% 105.42/105.68  (step @p12 :rule evaluate :args (@t10))
% 105.42/105.68  (step @p13 :rule cong :premises (@p12) :args (@t11))
% 105.42/105.68  (step @p14 :rule cong :premises (@p13) :args (@t12))
% 105.42/105.68  (step @p15 :rule refl :args (@t9))
% 105.42/105.68  (step @p16 :rule cong :premises (@p15 @p14) :args ((=> @t9 @t12)))
% 105.42/105.68  (assume-push @p24 @t9)
% 105.42/105.68  (step @p18 :rule instantiate :premises (@p11) :args ((@list 2)))
% 105.42/105.68  (step-pop @p25 :rule scope :premises (@p18))
% 105.42/105.68  (step @p19 :rule process_scope :premises (@p25) :args (@t12))
% 105.42/105.68  (step @p21 :rule eq_resolve :premises (@p19 @p16))
% 105.42/105.68  (step @p22 :rule implies_elim :premises (@p21))
% 105.42/105.68  (step @p23 false :rule chain_m_resolution :premises (@p22 @p11 @p9) :args (false (@list false false) (@list @t9 @t5)))
% 105.42/105.68  )
% 105.42/105.68  % SZS output end Proof
% 105.42/105.68  % cvc5 exiting
%------------------------------------------------------------------------------