%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET095-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   36 (  11 unt;   0 def)
%            Number of atoms       :   72 (  18 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   64 (  28   ~;  34   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   47 (  47   !;   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(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(f5,axiom,
    ! [X,Y] :
      ( X != Y
      | subclass(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [U,X,Y] :
      ( ~ member(U,unordered_pair(X,Y))
      | U = X
      | U = 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(f92,negated_conjecture,
    member(x,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f93,negated_conjecture,
    ~ subclass(singleton(x),y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f94,plain,
    ! [Y,U] :
      ( ! [X] :
          ( ~ subclass(X,Y)
          | ~ member(U,X) )
      | member(U,Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f94]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( X0 != X1
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f102,plain,
    ! [U,Y] :
      ( ! [X] :
          ( ~ member(U,unordered_pair(X,Y))
          | U = X )
      | U = Y ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f103,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    inference(cnf_transformation,[status(esa)],[f102]) ).

fof(f109,plain,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f199,plain,
    member(x,y),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f200,plain,
    ~ subclass(singleton(x),y),
    inference(cnf_transformation,[status(esa)],[f93]) ).

fof(f201,plain,
    ! [X0] : subclass(X0,X0),
    inference(destructive_equality_resolution,[status(esa)],[f99]) ).

fof(f233,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | X0 = X2
      | ~ subclass(X3,unordered_pair(X1,X2))
      | ~ member(X0,X3) ),
    inference(resolution,[status(thm)],[f103,f95]) ).

fof(f243,plain,
    ! [X0,X1,X2] :
      ( X0 = X1
      | X0 = X1
      | ~ subclass(X2,singleton(X1))
      | ~ member(X0,X2) ),
    inference(paramodulation,[status(thm)],[f109,f233]) ).

fof(f244,plain,
    ! [X0,X1,X2] :
      ( X0 = X1
      | ~ subclass(X2,singleton(X1))
      | ~ member(X0,X2) ),
    inference(duplicate_literals_removal,[status(esa)],[f243]) ).

fof(f249,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ member(X0,singleton(X1)) ),
    inference(resolution,[status(thm)],[f244,f201]) ).

fof(f252,plain,
    ! [X0,X1] :
      ( not_subclass_element(singleton(X0),X1) = X0
      | subclass(singleton(X0),X1) ),
    inference(resolution,[status(thm)],[f249,f96]) ).

fof(f257,plain,
    not_subclass_element(singleton(x),y) = x,
    inference(resolution,[status(thm)],[f252,f200]) ).

fof(f262,plain,
    ( spl0_4
  <=> subclass(singleton(x),y) ),
    introduced(split_symbol_definition) ).

fof(f263,plain,
    ( subclass(singleton(x),y)
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f262]) ).

fof(f278,plain,
    ( spl0_8
  <=> member(x,y) ),
    introduced(split_symbol_definition) ).

fof(f280,plain,
    ( ~ member(x,y)
    | spl0_8 ),
    inference(component_clause,[status(thm)],[f278]) ).

fof(f281,plain,
    ( ~ member(x,y)
    | subclass(singleton(x),y) ),
    inference(paramodulation,[status(thm)],[f257,f97]) ).

fof(f282,plain,
    ( ~ spl0_8
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f281,f278,f262]) ).

fof(f288,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f263,f200]) ).

fof(f289,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f288]) ).

fof(f290,plain,
    ( $false
    | spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f280,f199]) ).

fof(f291,plain,
    spl0_8,
    inference(contradiction_clause,[status(thm)],[f290]) ).

fof(f292,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f282,f289,f291]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET095-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 21:40:50 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36  % Elapsed time: 0.022115 seconds
% 0.13/0.36  % CPU time: 0.038049 seconds
% 0.13/0.36  % Total memory used: 13.539 MB
% 0.13/0.36  % Net memory used: 13.518 MB
%------------------------------------------------------------------------------