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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI188_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 : n029.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 08:07:15 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
% 0.12/0.13  % Problem  : ARI188_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
% 0.18/0.35  % Computer : n029.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Wed Jun  3 02:26:32 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.32/0.51  %----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 () (tptp.p 5))
% 105.42/105.68  (define @t2 () (@var "U" Int))
% 105.42/105.68  (define @t3 () (+ @t2 3))
% 105.42/105.68  (define @t4 () (tptp.p @t3))
% 105.42/105.68  (define @t5 () (@list @t2))
% 105.42/105.68  (define @t6 () (forall @t5 @t4))
% 105.42/105.68  (define @t7 () (=> @t6 @t1))
% 105.42/105.68  (define @t8 () (not @t7))
% 105.42/105.68  (define @t9 () (+ 3 @t2))
% 105.42/105.68  (define @t10 () (+ 3 2))
% 105.42/105.68  (define @t11 () (tptp.p @t10))
% 105.42/105.68  (define @t12 () (forall @t5 (tptp.p @t9)))
% 105.42/105.68  (assume @p1 @t8)
% 105.42/105.68  (assume @p2 true)
% 105.42/105.68  (step @p3 :rule refl :args (@t1))
% 105.42/105.68  (step @p4 :rule arith_poly_norm :args ((= @t3 @t9)))
% 105.42/105.68  (step @p5 :rule cong :premises (@p4) :args (@t4))
% 105.42/105.68  (step @p6 :rule cong :premises (@p5) :args (@t6))
% 105.42/105.68  (step @p7 :rule cong :premises (@p6 @p3) :args (@t7))
% 105.42/105.68  (step @p8 :rule cong :premises (@p7) :args (@t8))
% 105.42/105.68  (step @p9 :rule eq_resolve :premises (@p1 @p8))
% 105.42/105.68  (step @p10 :rule not_implies_elim1 :premises (@p9))
% 105.42/105.68  (step @p11 :rule not_implies_elim2 :premises (@p9))
% 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 refl :args (@t12))
% 105.42/105.68  (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t12 @t11)))
% 105.42/105.68  (assume-push @p24 @t12)
% 105.42/105.68  (step @p17 :rule instantiate :premises (@p10) :args ((@list 2)))
% 105.42/105.68  (step-pop @p25 :rule scope :premises (@p17))
% 105.42/105.68  (step @p18 :rule process_scope :premises (@p25) :args (@t11))
% 105.42/105.68  (step @p20 :rule eq_resolve :premises (@p18 @p15))
% 105.42/105.68  (step @p21 :rule implies_elim :premises (@p20))
% 105.42/105.68  (step @p22 :rule reordering :premises (@p21) :args ((or @t1 (not @t12))))
% 105.42/105.68  (step @p23 false :rule chain_m_resolution :premises (@p22 @p11 @p10) :args (false (@list true false) (@list @t1 @t12)))
% 105.42/105.68  )
% 105.42/105.68  % SZS output end Proof
% 105.42/105.68  % cvc5 exiting
%------------------------------------------------------------------------------