%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET095-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 : Tue Apr 30 20:39:06 EDT 2024

% Result   : Unsatisfiable 0.16s 0.33s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (   8 unt;   0 def)
%            Number of atoms       :   38 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   27 (  12   ~;  13   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X,Y] :
      ( member(not_subclass_element(X,Y),X)
      | subclass(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y] :
      ( ~ member(not_subclass_element(X,Y),Y)
      | subclass(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f125,axiom,
    ! [Y,X] :
      ( ~ member(Y,singleton(X))
      | Y = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f139,negated_conjecture,
    member(x,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f140,negated_conjecture,
    ~ subclass(singleton(x),y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f143,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f292,plain,
    ! [X0,X1] :
      ( ~ member(X0,singleton(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f125]) ).

fof(f307,plain,
    member(x,y),
    inference(cnf_transformation,[status(esa)],[f139]) ).

fof(f308,plain,
    ~ subclass(singleton(x),y),
    inference(cnf_transformation,[status(esa)],[f140]) ).

fof(f335,plain,
    ! [X0,X1] :
      ( subclass(singleton(X0),X1)
      | not_subclass_element(singleton(X0),X1) = X0 ),
    inference(resolution,[status(thm)],[f143,f292]) ).

fof(f348,plain,
    not_subclass_element(singleton(x),y) = x,
    inference(resolution,[status(thm)],[f335,f308]) ).

fof(f355,plain,
    ( spl0_0
  <=> member(x,y) ),
    introduced(split_symbol_definition) ).

fof(f357,plain,
    ( ~ member(x,y)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f355]) ).

fof(f358,plain,
    ( spl0_1
  <=> subclass(singleton(x),y) ),
    introduced(split_symbol_definition) ).

fof(f359,plain,
    ( subclass(singleton(x),y)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f358]) ).

fof(f361,plain,
    ( ~ member(x,y)
    | subclass(singleton(x),y) ),
    inference(paramodulation,[status(thm)],[f348,f144]) ).

fof(f362,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f361,f355,f358]) ).

fof(f368,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f359,f308]) ).

fof(f369,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f368]) ).

fof(f370,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f357,f307]) ).

fof(f371,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f370]) ).

fof(f372,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f362,f369,f371]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SET095-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n032.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 : Mon Apr 29 21:39:35 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.32  % Drodi V3.6.0
% 0.16/0.33  % Refutation found
% 0.16/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.34  % Elapsed time: 0.020527 seconds
% 0.16/0.34  % CPU time: 0.033210 seconds
% 0.16/0.34  % Total memory used: 13.888 MB
% 0.16/0.34  % Net memory used: 13.872 MB
%------------------------------------------------------------------------------