%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET027-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n026.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 May 31 12:33:39 EDT 2023

% Result   : Unsatisfiable 0.06s 0.27s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   41 (  20   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   31 (;  31   !;   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(f92,negated_conjecture,
    subclass(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f93,negated_conjecture,
    subclass(y,z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f94,negated_conjecture,
    ~ subclass(x,z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f95,plain,
    ! [Y,U] :
      ( ! [X] :
          ( ~ subclass(X,Y)
          | ~ member(U,X) )
      | member(U,Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f96,plain,
    ! [X0,X1,X2] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f95]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f200,plain,
    subclass(x,y),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f201,plain,
    subclass(y,z),
    inference(cnf_transformation,[status(esa)],[f93]) ).

fof(f202,plain,
    ~ subclass(x,z),
    inference(cnf_transformation,[status(esa)],[f94]) ).

fof(f226,plain,
    ! [X0,X1,X2] :
      ( subclass(X0,X1)
      | ~ subclass(X2,X1)
      | ~ member(not_subclass_element(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f98,f96]) ).

fof(f259,plain,
    ! [X0,X1,X2,X3] :
      ( subclass(X0,X1)
      | ~ subclass(X2,X1)
      | ~ subclass(X3,X2)
      | ~ member(not_subclass_element(X0,X1),X3) ),
    inference(resolution,[status(thm)],[f226,f96]) ).

fof(f300,plain,
    ! [X0,X1,X2] :
      ( subclass(X0,X1)
      | ~ subclass(X2,X1)
      | ~ subclass(X0,X2)
      | subclass(X0,X1) ),
    inference(resolution,[status(thm)],[f259,f97]) ).

fof(f301,plain,
    ! [X0,X1,X2] :
      ( subclass(X0,X1)
      | ~ subclass(X2,X1)
      | ~ subclass(X0,X2) ),
    inference(duplicate_literals_removal,[status(esa)],[f300]) ).

fof(f310,plain,
    ! [X0] :
      ( subclass(X0,z)
      | ~ subclass(X0,y) ),
    inference(resolution,[status(thm)],[f301,f201]) ).

fof(f314,plain,
    subclass(x,z),
    inference(resolution,[status(thm)],[f310,f200]) ).

fof(f315,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f314,f202]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SET027-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25  % Computer : n026.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Tue May 30 10:29:28 EDT 2023
% 0.06/0.25  % CPUTime  : 
% 0.06/0.26  % Drodi V3.5.1
% 0.06/0.27  % Refutation found
% 0.06/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.27  % Elapsed time: 0.017193 seconds
% 0.06/0.27  % CPU time: 0.032165 seconds
% 0.06/0.27  % Memory used: 15.245 MB
%------------------------------------------------------------------------------