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Z3---4.15.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : NUM634+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n012.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 : Sat Jun 21 05:21:41 AM UTC 2025

% Result   : Theorem 0.17s 0.37s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    5 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :    6 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   5   ~;   0   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(sz00_type,type,
    sz00: $i ).

tff(xK_type,type,
    xK: $i ).

tff(1,plain,
    ( ~ ( ( xK != sz00 ) )
  <=> ( xK = sz00 ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(2,axiom,
    ~ ( ( xK != sz00 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3520) ).

tff(3,plain,
    xK = sz00,
    inference(modus_ponens,[status(thm)],[2,1]) ).

tff(4,axiom,
    xK != sz00,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).

tff(5,plain,
    $false,
    inference(unit_resolution,[status(thm)],[4,3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : NUM634+3 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.10  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n012.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri Jun 20 01:36:55 EDT 2025
% 0.10/0.32  % CPUTime    : 
% 0.17/0.37  % SZS status Theorem
% 0.17/0.37  % SZS output start Proof
% See solution above
% 0.17/0.37  % E exiting
%------------------------------------------------------------------------------