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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LAT039-2 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 08:29:40 AM UTC 2026

% Result   : Unsatisfiable 0.30s 0.54s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT039-2 : TPTP v9.2.1. Released v2.4.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n017.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 05:43:16 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.30/0.54  % SZS status Unsatisfiable
% 0.30/0.54  % SZS output start Proof
% 0.30/0.55  (
% 0.30/0.55  (declare-sort $$unsorted 0)
% 0.30/0.55  (declare-const tptp.zz $$unsorted)
% 0.30/0.55  (declare-const tptp.xx $$unsorted)
% 0.30/0.55  (declare-const tptp.yy $$unsorted)
% 0.30/0.55  (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (define @t1 () (@var "X" $$unsorted))
% 0.30/0.55  (define @t2 () (@list @t1))
% 0.30/0.55  (define @t3 () (@var "Y" $$unsorted))
% 0.30/0.55  (define @t4 () (tptp.join @t1 @t3))
% 0.30/0.55  (define @t5 () (@list @t1 @t3))
% 0.30/0.55  (define @t6 () (tptp.meet @t1 @t3))
% 0.30/0.55  (define @t7 () (@var "Z" $$unsorted))
% 0.30/0.55  (define @t8 () (tptp.meet @t3 @t7))
% 0.30/0.55  (define @t9 () (@list @t1 @t3 @t7))
% 0.30/0.55  (define @t10 () (tptp.join @t3 @t7))
% 0.30/0.55  (define @t11 () (forall @t9 (= (tptp.join @t1 @t8) (tptp.meet @t4 (tptp.join @t1 @t7)))))
% 0.30/0.55  (define @t12 () (tptp.join tptp.xx tptp.yy))
% 0.30/0.55  (define @t13 () (= (tptp.join tptp.xx (tptp.meet tptp.yy tptp.zz)) (tptp.meet @t12 (tptp.join tptp.xx tptp.zz))))
% 0.30/0.55  (assume @p1 (forall @t2 (= (tptp.meet @t1 @t1) @t1)))
% 0.30/0.55  (assume @p2 (forall @t2 (= (tptp.join @t1 @t1) @t1)))
% 0.30/0.55  (assume @p3 (forall @t5 (= (tptp.meet @t1 @t4) @t1)))
% 0.30/0.55  (assume @p4 (forall @t5 (= (tptp.join @t1 @t6) @t1)))
% 0.30/0.55  (assume @p5 (forall @t5 (= @t6 (tptp.meet @t3 @t1))))
% 0.30/0.55  (assume @p6 (forall @t5 (= @t4 (tptp.join @t3 @t1))))
% 0.30/0.55  (assume @p7 (forall @t9 (= (tptp.meet @t6 @t7) (tptp.meet @t1 @t8))))
% 0.30/0.55  (assume @p8 (forall @t9 (= (tptp.join @t4 @t7) (tptp.join @t1 @t10))))
% 0.30/0.55  (assume @p9 @t11)
% 0.30/0.55  (assume @p10 (forall @t9 (= (tptp.meet @t1 @t10) (tptp.join @t6 (tptp.meet @t1 @t7)))))
% 0.30/0.55  (assume @p11 (= @t12 tptp.yy))
% 0.30/0.55  (assume @p12 (not @t13))
% 0.30/0.55  (assume-push @p20 @t11)
% 0.30/0.55  (step @p14 :rule instantiate :premises (@p9) :args ((@list tptp.xx tptp.yy tptp.zz)))
% 0.30/0.55  (step-pop @p21 :rule scope :premises (@p14))
% 0.30/0.55  (step @p15 :rule process_scope :premises (@p21) :args (@t13))
% 0.30/0.55  (step @p17 :rule implies_elim :premises (@p15))
% 0.30/0.55  (step @p18 :rule reordering :premises (@p17) :args ((or @t13 (not @t11))))
% 0.30/0.55  (step @p19 false :rule chain_m_resolution :premises (@p18 @p12 @p9) :args (false (@list true false) (@list @t13 @t11)))
% 0.30/0.55  )
% 0.30/0.55  % SZS output end Proof
% 0.30/0.55  % cvc5 exiting
%------------------------------------------------------------------------------