%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET236-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 12:34:19 EDT 2023

% Result   : Unsatisfiable 0.20s 0.38s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  10 unt;   0 def)
%            Number of atoms       :   39 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  14   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   29 (;  29   !;   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(f17,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,cross_product(X,Y))
      | ordered_pair(first(Z),second(Z)) = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f114,negated_conjecture,
    member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f115,negated_conjecture,
    ~ subclass(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f116,plain,
    ! [Y,U] :
      ( ! [X] :
          ( ~ subclass(X,Y)
          | ~ member(U,X) )
      | member(U,Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f116]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f138,plain,
    ! [Z] :
      ( ! [X,Y] : ~ member(Z,cross_product(X,Y))
      | ordered_pair(first(Z),second(Z)) = Z ),
    inference(miniscoping,[status(esa)],[f17]) ).

fof(f139,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,cross_product(X1,X2))
      | ordered_pair(first(X0),second(X0)) = X0 ),
    inference(cnf_transformation,[status(esa)],[f138]) ).

fof(f247,plain,
    subclass(x,cross_product(universal_class,universal_class)),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f248,plain,
    member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),y),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f249,plain,
    ~ subclass(x,y),
    inference(cnf_transformation,[status(esa)],[f115]) ).

fof(f254,plain,
    ! [X0] :
      ( ~ member(X0,x)
      | member(X0,cross_product(universal_class,universal_class)) ),
    inference(resolution,[status(thm)],[f117,f247]) ).

fof(f267,plain,
    ! [X0] :
      ( subclass(x,X0)
      | member(not_subclass_element(x,X0),cross_product(universal_class,universal_class)) ),
    inference(resolution,[status(thm)],[f118,f254]) ).

fof(f286,plain,
    ! [X0] :
      ( ordered_pair(first(not_subclass_element(x,X0)),second(not_subclass_element(x,X0))) = not_subclass_element(x,X0)
      | subclass(x,X0) ),
    inference(resolution,[status(thm)],[f139,f267]) ).

fof(f288,plain,
    ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))) = not_subclass_element(x,y),
    inference(resolution,[status(thm)],[f286,f249]) ).

fof(f292,plain,
    member(not_subclass_element(x,y),y),
    inference(backward_demodulation,[status(thm)],[f288,f248]) ).

fof(f296,plain,
    subclass(x,y),
    inference(resolution,[status(thm)],[f292,f119]) ).

fof(f297,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f296,f249]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET236-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue May 30 10:29:25 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.36  % Drodi V3.5.1
% 0.20/0.38  % Refutation found
% 0.20/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.39  % Elapsed time: 0.036124 seconds
% 0.20/0.39  % CPU time: 0.117428 seconds
% 0.20/0.39  % Memory used: 19.696 MB
%------------------------------------------------------------------------------