%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET084-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 12:33:55 EDT 2023

% Result   : Unsatisfiable 0.20s 0.37s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (  11 unt;   0 def)
%            Number of atoms       :   47 (  17 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   37 (  19   ~;  16   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   11 (;  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f122,axiom,
    ! [X] :
      ( ~ member(X,universal_class)
      | member(X,singleton(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f123,axiom,
    ! [X] :
      ( ~ member(X,universal_class)
      | singleton(X) != null_class ),
    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(f126,axiom,
    ! [X] :
      ( member(X,universal_class)
      | singleton(X) = null_class ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f127,negated_conjecture,
    singleton(x) = singleton(y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f128,negated_conjecture,
    member(y,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f129,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f278,plain,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | member(X0,singleton(X0)) ),
    inference(cnf_transformation,[status(esa)],[f122]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | singleton(X0) != null_class ),
    inference(cnf_transformation,[status(esa)],[f123]) ).

fof(f281,plain,
    ! [X0,X1] :
      ( ~ member(X0,singleton(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f125]) ).

fof(f282,plain,
    ! [X0] :
      ( member(X0,universal_class)
      | singleton(X0) = null_class ),
    inference(cnf_transformation,[status(esa)],[f126]) ).

fof(f283,plain,
    singleton(x) = singleton(y),
    inference(cnf_transformation,[status(esa)],[f127]) ).

fof(f284,plain,
    member(y,universal_class),
    inference(cnf_transformation,[status(esa)],[f128]) ).

fof(f285,plain,
    x != y,
    inference(cnf_transformation,[status(esa)],[f129]) ).

fof(f295,plain,
    ! [X0] :
      ( ~ member(X0,singleton(x))
      | X0 = y ),
    inference(paramodulation,[status(thm)],[f283,f281]) ).

fof(f307,plain,
    singleton(y) != null_class,
    inference(resolution,[status(thm)],[f279,f284]) ).

fof(f308,plain,
    singleton(x) != null_class,
    inference(forward_demodulation,[status(thm)],[f283,f307]) ).

fof(f393,plain,
    ( spl0_4
  <=> member(x,universal_class) ),
    introduced(split_symbol_definition) ).

fof(f395,plain,
    ( ~ member(x,universal_class)
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f393]) ).

fof(f396,plain,
    ( spl0_5
  <=> x = y ),
    introduced(split_symbol_definition) ).

fof(f397,plain,
    ( x = y
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f396]) ).

fof(f399,plain,
    ( ~ member(x,universal_class)
    | x = y ),
    inference(resolution,[status(thm)],[f278,f295]) ).

fof(f400,plain,
    ( ~ spl0_4
    | spl0_5 ),
    inference(split_clause,[status(thm)],[f399,f393,f396]) ).

fof(f411,plain,
    ( singleton(x) = null_class
    | spl0_4 ),
    inference(resolution,[status(thm)],[f395,f282]) ).

fof(f412,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f411,f308]) ).

fof(f413,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f412]) ).

fof(f414,plain,
    ( $false
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f397,f285]) ).

fof(f415,plain,
    ~ spl0_5,
    inference(contradiction_clause,[status(thm)],[f414]) ).

fof(f416,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f400,f413,f415]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.13  % Problem  : SET084-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n028.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 10:29:02 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.36  % Drodi V3.5.1
% 0.20/0.37  % Refutation found
% 0.20/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.58  % Elapsed time: 0.019286 seconds
% 0.26/0.58  % CPU time: 0.048185 seconds
% 0.26/0.58  % Memory used: 15.518 MB
%------------------------------------------------------------------------------