TSTP Solution File: SET063-7 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET063-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 12:33:48 EDT 2023

% Result   : Unsatisfiable 0.19s 0.56s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   31 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  12   ~;  10   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    6 (;   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X,Y] :
      ( ~ subclass(X,Y)
      | ~ subclass(Y,X)
      | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f104,axiom,
    ! [X] : subclass(null_class,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f105,negated_conjecture,
    subclass(x,null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f106,negated_conjecture,
    x != null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ subclass(X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f229,plain,
    ! [X0] : subclass(null_class,X0),
    inference(cnf_transformation,[status(esa)],[f104]) ).

fof(f230,plain,
    subclass(x,null_class),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f231,plain,
    x != null_class,
    inference(cnf_transformation,[status(esa)],[f106]) ).

fof(f236,plain,
    ( spl0_0
  <=> subclass(null_class,x) ),
    introduced(split_symbol_definition) ).

fof(f238,plain,
    ( ~ subclass(null_class,x)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f236]) ).

fof(f239,plain,
    ( spl0_1
  <=> null_class = x ),
    introduced(split_symbol_definition) ).

fof(f240,plain,
    ( null_class = x
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f239]) ).

fof(f242,plain,
    ( ~ subclass(null_class,x)
    | null_class = x ),
    inference(resolution,[status(thm)],[f114,f230]) ).

fof(f243,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f242,f236,f239]) ).

fof(f245,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f238,f229]) ).

fof(f246,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f245]) ).

fof(f247,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f240,f231]) ).

fof(f248,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f247]) ).

fof(f249,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f243,f246,f248]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET063-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue May 30 10:08:07 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Drodi V3.5.1
% 0.19/0.56  % Refutation found
% 0.19/0.56  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.56  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.56  % Elapsed time: 0.018373 seconds
% 0.19/0.56  % CPU time: 0.017316 seconds
% 0.19/0.56  % Memory used: 3.796 MB
%------------------------------------------------------------------------------