%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET146-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 12:34:07 EDT 2023

% Result   : Unsatisfiable 0.19s 0.39s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (   6 unt;   0 def)
%            Number of atoms       :   40 (  14 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   31 (  13   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   35 (;  35   !;   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(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(f67,axiom,
    ! [X] :
      ( X = null_class
      | intersection(X,regular(X)) = null_class ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f116,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ subclass(X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f141,plain,
    ! [Z,X] :
      ( ! [Y] : ~ member(Z,intersection(X,Y))
      | member(Z,X) ),
    inference(miniscoping,[status(esa)],[f21]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f141]) ).

fof(f189,plain,
    ! [X0] :
      ( X0 = null_class
      | intersection(X0,regular(X0)) = null_class ),
    inference(cnf_transformation,[status(esa)],[f67]) ).

fof(f245,plain,
    intersection(null_class,x) != null_class,
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f264,plain,
    ! [X0,X1,X2] :
      ( subclass(intersection(X0,X1),X2)
      | member(not_subclass_element(intersection(X0,X1),X2),X0) ),
    inference(resolution,[status(thm)],[f116,f142]) ).

fof(f316,plain,
    ! [X0,X1] :
      ( subclass(intersection(X0,X1),X0)
      | subclass(intersection(X0,X1),X0) ),
    inference(resolution,[status(thm)],[f264,f117]) ).

fof(f317,plain,
    ! [X0,X1] : subclass(intersection(X0,X1),X0),
    inference(duplicate_literals_removal,[status(esa)],[f316]) ).

fof(f323,plain,
    ! [X0,X1] :
      ( ~ subclass(X0,intersection(X0,X1))
      | X0 = intersection(X0,X1) ),
    inference(resolution,[status(thm)],[f317,f121]) ).

fof(f1621,plain,
    ! [X0] :
      ( subclass(null_class,X0)
      | X0 = null_class ),
    inference(paramodulation,[status(thm)],[f189,f317]) ).

fof(f1633,plain,
    ! [X0] :
      ( intersection(null_class,X0) = null_class
      | null_class = intersection(null_class,X0) ),
    inference(resolution,[status(thm)],[f1621,f323]) ).

fof(f1634,plain,
    ! [X0] : intersection(null_class,X0) = null_class,
    inference(duplicate_literals_removal,[status(esa)],[f1633]) ).

fof(f1639,plain,
    null_class != null_class,
    inference(backward_demodulation,[status(thm)],[f1634,f245]) ).

fof(f1640,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f1639]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET146-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 10:19:23 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 0.19/0.39  % Refutation found
% 0.19/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.39  % Elapsed time: 0.045658 seconds
% 0.19/0.39  % CPU time: 0.193574 seconds
% 0.19/0.39  % Memory used: 20.654 MB
%------------------------------------------------------------------------------