%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET184-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 20:39:21 EDT 2024

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   7 unt;   0 def)
%            Number of atoms       :   33 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   24 (  11   ~;  12   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

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

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

fof(f22,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,intersection(X,Y))
      | member(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f113,negated_conjecture,
    intersection(x,y) = x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f114,negated_conjecture,
    ~ subclass(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f117,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f144,plain,
    ! [Z,Y] :
      ( ! [X] : ~ member(Z,intersection(X,Y))
      | member(Z,Y) ),
    inference(miniscoping,[status(esa)],[f22]) ).

fof(f145,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f144]) ).

fof(f246,plain,
    intersection(x,y) = x,
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f247,plain,
    ~ subclass(x,y),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f254,plain,
    ! [X0] :
      ( ~ member(X0,x)
      | member(X0,y) ),
    inference(paramodulation,[status(thm)],[f246,f145]) ).

fof(f274,plain,
    ! [X0] :
      ( subclass(x,X0)
      | member(not_subclass_element(x,X0),y) ),
    inference(resolution,[status(thm)],[f117,f254]) ).

fof(f284,plain,
    ( spl0_0
  <=> subclass(x,y) ),
    introduced(split_symbol_definition) ).

fof(f285,plain,
    ( subclass(x,y)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f284]) ).

fof(f287,plain,
    ( subclass(x,y)
    | subclass(x,y) ),
    inference(resolution,[status(thm)],[f274,f118]) ).

fof(f288,plain,
    spl0_0,
    inference(split_clause,[status(thm)],[f287,f284]) ).

fof(f291,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f285,f247]) ).

fof(f292,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f291]) ).

fof(f293,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f288,f292]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET184-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Apr 29 21:53:02 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Drodi V3.6.0
% 0.12/0.34  % Refutation found
% 0.12/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.35  % Elapsed time: 0.019805 seconds
% 0.12/0.35  % CPU time: 0.032804 seconds
% 0.12/0.35  % Total memory used: 13.644 MB
% 0.12/0.35  % Net memory used: 13.633 MB
%------------------------------------------------------------------------------