%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET027-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 : Tue Apr 30 20:38:46 EDT 2024

% Result   : Unsatisfiable 0.17s 0.36s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   24 (   9 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (  15   ~;  17   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y,U] :
      ( ~ subclass(X,Y)
      | ~ member(U,X)
      | member(U,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y] :
      ( member(not_subclass_element(X,Y),X)
      | subclass(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y] :
      ( ~ member(not_subclass_element(X,Y),Y)
      | subclass(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f97,negated_conjecture,
    subclass(x,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f98,negated_conjecture,
    subclass(y,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f99,negated_conjecture,
    ~ subclass(x,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f100,plain,
    ! [Y,U] :
      ( ! [X] :
          ( ~ subclass(X,Y)
          | ~ member(U,X) )
      | member(U,Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f101,plain,
    ! [X0,X1,X2] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f100]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f214,plain,
    subclass(x,y),
    inference(cnf_transformation,[status(esa)],[f97]) ).

fof(f215,plain,
    subclass(y,z),
    inference(cnf_transformation,[status(esa)],[f98]) ).

fof(f216,plain,
    ~ subclass(x,z),
    inference(cnf_transformation,[status(esa)],[f99]) ).

fof(f220,plain,
    ! [X0] :
      ( ~ member(X0,y)
      | member(X0,z) ),
    inference(resolution,[status(thm)],[f101,f215]) ).

fof(f221,plain,
    ! [X0] :
      ( ~ member(X0,x)
      | member(X0,y) ),
    inference(resolution,[status(thm)],[f101,f214]) ).

fof(f241,plain,
    ! [X0] :
      ( subclass(x,X0)
      | member(not_subclass_element(x,X0),y) ),
    inference(resolution,[status(thm)],[f102,f221]) ).

fof(f244,plain,
    ! [X0] :
      ( subclass(x,X0)
      | member(not_subclass_element(x,X0),z) ),
    inference(resolution,[status(thm)],[f241,f220]) ).

fof(f274,plain,
    ( spl0_6
  <=> subclass(x,z) ),
    introduced(split_symbol_definition) ).

fof(f275,plain,
    ( subclass(x,z)
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f274]) ).

fof(f277,plain,
    ( subclass(x,z)
    | subclass(x,z) ),
    inference(resolution,[status(thm)],[f244,f103]) ).

fof(f278,plain,
    spl0_6,
    inference(split_clause,[status(thm)],[f277,f274]) ).

fof(f280,plain,
    ( $false
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f275,f216]) ).

fof(f281,plain,
    ~ spl0_6,
    inference(contradiction_clause,[status(thm)],[f280]) ).

fof(f282,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f278,f281]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem  : SET027-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n031.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Apr 29 22:18:43 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.17/0.35  % Drodi V3.6.0
% 0.17/0.36  % Refutation found
% 0.17/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.38  % Elapsed time: 0.020531 seconds
% 0.17/0.38  % CPU time: 0.029875 seconds
% 0.17/0.38  % Total memory used: 13.509 MB
% 0.17/0.38  % Net memory used: 13.498 MB
%------------------------------------------------------------------------------