%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET183-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 0.21s 0.43s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   45 (   6 unt;   0 def)
%            Number of atoms       :   97 (   4 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   95 (  43   ~;  48   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

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

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(f7,axiom,
    ! [X,Y] :
      ( ~ subclass(X,Y)
      | ~ subclass(Y,X)
      | X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,intersection(X,Y))
      | member(Z,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,X)
      | ~ member(Z,Y)
      | member(Z,intersection(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f114,negated_conjecture,
    intersection(x,y) != x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f115,plain,
    ! [Y,U] :
      ( ! [X] :
          ( ~ subclass(X,Y)
          | ~ member(U,X) )
      | member(U,Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f115]) ).

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(f122,plain,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ subclass(X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f142,plain,
    ! [Z,X] :
      ( ! [Y] : ~ member(Z,intersection(X,Y))
      | member(Z,X) ),
    inference(miniscoping,[status(esa)],[f21]) ).

fof(f143,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f142]) ).

fof(f146,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,X1)
      | ~ member(X0,X2)
      | member(X0,intersection(X1,X2)) ),
    inference(cnf_transformation,[status(esa)],[f23]) ).

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

fof(f247,plain,
    intersection(x,y) != x,
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f255,plain,
    ( spl0_0
  <=> subclass(intersection(x,y),x) ),
    introduced(split_symbol_definition) ).

fof(f257,plain,
    ( ~ subclass(intersection(x,y),x)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f255]) ).

fof(f258,plain,
    ( spl0_1
  <=> subclass(x,intersection(x,y)) ),
    introduced(split_symbol_definition) ).

fof(f260,plain,
    ( ~ subclass(x,intersection(x,y))
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f258]) ).

fof(f261,plain,
    ( ~ subclass(intersection(x,y),x)
    | ~ subclass(x,intersection(x,y)) ),
    inference(resolution,[status(thm)],[f122,f247]) ).

fof(f262,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f261,f255,f258]) ).

fof(f265,plain,
    ( ~ member(not_subclass_element(intersection(x,y),x),x)
    | spl0_0 ),
    inference(resolution,[status(thm)],[f118,f257]) ).

fof(f268,plain,
    ! [X0] :
      ( ~ member(not_subclass_element(intersection(x,y),x),intersection(x,X0))
      | spl0_0 ),
    inference(resolution,[status(thm)],[f265,f143]) ).

fof(f280,plain,
    ( ~ member(not_subclass_element(x,intersection(x,y)),intersection(x,y))
    | spl0_1 ),
    inference(resolution,[status(thm)],[f260,f118]) ).

fof(f281,plain,
    ( spl0_4
  <=> member(not_subclass_element(x,intersection(x,y)),x) ),
    introduced(split_symbol_definition) ).

fof(f282,plain,
    ( member(not_subclass_element(x,intersection(x,y)),x)
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f281]) ).

fof(f283,plain,
    ( ~ member(not_subclass_element(x,intersection(x,y)),x)
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f281]) ).

fof(f284,plain,
    ( spl0_5
  <=> member(not_subclass_element(x,intersection(x,y)),y) ),
    introduced(split_symbol_definition) ).

fof(f286,plain,
    ( ~ member(not_subclass_element(x,intersection(x,y)),y)
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f284]) ).

fof(f287,plain,
    ( ~ member(not_subclass_element(x,intersection(x,y)),x)
    | ~ member(not_subclass_element(x,intersection(x,y)),y)
    | spl0_1 ),
    inference(resolution,[status(thm)],[f280,f146]) ).

fof(f288,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f287,f281,f284,f258]) ).

fof(f292,plain,
    ! [X0] :
      ( ~ subclass(X0,y)
      | ~ member(not_subclass_element(x,intersection(x,y)),X0)
      | spl0_5 ),
    inference(resolution,[status(thm)],[f286,f116]) ).

fof(f295,plain,
    ( subclass(intersection(x,y),x)
    | spl0_0 ),
    inference(resolution,[status(thm)],[f268,f117]) ).

fof(f296,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f295,f257]) ).

fof(f297,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f296]) ).

fof(f299,plain,
    ( subclass(x,intersection(x,y))
    | spl0_4 ),
    inference(resolution,[status(thm)],[f283,f117]) ).

fof(f300,plain,
    ( $false
    | spl0_1
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f299,f260]) ).

fof(f301,plain,
    ( spl0_1
    | spl0_4 ),
    inference(contradiction_clause,[status(thm)],[f300]) ).

fof(f318,plain,
    ( ~ subclass(x,y)
    | spl0_5
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f292,f282]) ).

fof(f319,plain,
    ( $false
    | spl0_5
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f318,f246]) ).

fof(f320,plain,
    ( spl0_5
    | ~ spl0_4 ),
    inference(contradiction_clause,[status(thm)],[f319]) ).

fof(f321,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f262,f288,f297,f301,f320]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET183-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Apr 29 21:22:41 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.6.0
% 0.21/0.43  % Refutation found
% 0.21/0.43  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.43  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.44  % Elapsed time: 0.088432 seconds
% 0.21/0.44  % CPU time: 0.567898 seconds
% 0.21/0.44  % Total memory used: 68.366 MB
% 0.21/0.44  % Net memory used: 68.026 MB
%------------------------------------------------------------------------------