%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET080-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 12:33:54 EDT 2023

% Result   : Unsatisfiable 0.14s 0.32s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (  12 unt;   0 def)
%            Number of atoms       :   35 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   29 (  16   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (;  23   !;   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(f4,axiom,
    ! [X] : subclass(X,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X,Y] :
      ( ~ member(X,universal_class)
      | member(X,unordered_pair(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X] : unordered_pair(X,X) = singleton(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f47,axiom,
    ! [X] :
      ( ~ inductive(X)
      | member(null_class,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f50,axiom,
    inductive(omega),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f92,negated_conjecture,
    ~ member(null_class,singleton(null_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f93,plain,
    ! [Y,U] :
      ( ! [X] :
          ( ~ subclass(X,Y)
          | ~ member(U,X) )
      | member(U,Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f94,plain,
    ! [X0,X1,X2] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f93]) ).

fof(f97,plain,
    ! [X0] : subclass(X0,universal_class),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f103,plain,
    ! [X] :
      ( ~ member(X,universal_class)
      | ! [Y] : member(X,unordered_pair(X,Y)) ),
    inference(miniscoping,[status(esa)],[f9]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,unordered_pair(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f103]) ).

fof(f108,plain,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ inductive(X0)
      | member(null_class,X0) ),
    inference(cnf_transformation,[status(esa)],[f47]) ).

fof(f151,plain,
    inductive(omega),
    inference(cnf_transformation,[status(esa)],[f50]) ).

fof(f198,plain,
    ~ member(null_class,singleton(null_class)),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f206,plain,
    member(null_class,omega),
    inference(resolution,[status(thm)],[f148,f151]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ subclass(omega,X0)
      | member(null_class,X0) ),
    inference(resolution,[status(thm)],[f206,f94]) ).

fof(f240,plain,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | member(X0,singleton(X0)) ),
    inference(paramodulation,[status(thm)],[f108,f104]) ).

fof(f247,plain,
    member(null_class,universal_class),
    inference(resolution,[status(thm)],[f207,f97]) ).

fof(f296,plain,
    ~ member(null_class,universal_class),
    inference(resolution,[status(thm)],[f240,f198]) ).

fof(f297,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f296,f247]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET080-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n028.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 : Tue May 30 10:30:02 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.14/0.31  % Drodi V3.5.1
% 0.14/0.32  % Refutation found
% 0.14/0.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.32  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.54  % Elapsed time: 0.016669 seconds
% 0.14/0.54  % CPU time: 0.016315 seconds
% 0.14/0.54  % Memory used: 3.882 MB
%------------------------------------------------------------------------------