%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM183-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 20:30:23 EDT 2024

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   36 (  15 unt;   0 def)
%            Number of atoms       :   69 (   2 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   63 (  30   ~;  30   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   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(f4,axiom,
    ! [X] : subclass(X,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,X)
      | ~ member(Z,Y)
      | member(Z,intersection(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ! [Z,X] :
      ( ~ member(Z,universal_class)
      | member(Z,complement(X))
      | member(Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f139,axiom,
    intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f159,negated_conjecture,
    member(x,ordinal_numbers),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f160,negated_conjecture,
    ~ member(x,kind_1_ordinals),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f161,negated_conjecture,
    ~ member(x,limit_ordinals),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f162,plain,
    ! [Y,U] :
      ( ! [X] :
          ( ~ subclass(X,Y)
          | ~ member(U,X) )
      | member(U,Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f163,plain,
    ! [X0,X1,X2] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f162]) ).

fof(f166,plain,
    ! [X0] : subclass(X0,universal_class),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f193,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,X1)
      | ~ member(X0,X2)
      | member(X0,intersection(X1,X2)) ),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,complement(X1))
      | member(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f325,plain,
    intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
    inference(cnf_transformation,[status(esa)],[f139]) ).

fof(f349,plain,
    member(x,ordinal_numbers),
    inference(cnf_transformation,[status(esa)],[f159]) ).

fof(f350,plain,
    ~ member(x,kind_1_ordinals),
    inference(cnf_transformation,[status(esa)],[f160]) ).

fof(f351,plain,
    ~ member(x,limit_ordinals),
    inference(cnf_transformation,[status(esa)],[f161]) ).

fof(f360,plain,
    ! [X0] :
      ( ~ subclass(ordinal_numbers,X0)
      | member(x,X0) ),
    inference(resolution,[status(thm)],[f163,f349]) ).

fof(f361,plain,
    member(x,universal_class),
    inference(resolution,[status(thm)],[f360,f166]) ).

fof(f704,plain,
    ! [X0] :
      ( ~ member(X0,complement(kind_1_ordinals))
      | ~ member(X0,ordinal_numbers)
      | member(X0,limit_ordinals) ),
    inference(paramodulation,[status(thm)],[f325,f193]) ).

fof(f776,plain,
    ! [X0] :
      ( ~ member(X0,ordinal_numbers)
      | member(X0,limit_ordinals)
      | ~ member(X0,universal_class)
      | member(X0,kind_1_ordinals) ),
    inference(resolution,[status(thm)],[f704,f195]) ).

fof(f785,plain,
    ( spl0_46
  <=> member(x,limit_ordinals) ),
    introduced(split_symbol_definition) ).

fof(f786,plain,
    ( member(x,limit_ordinals)
    | ~ spl0_46 ),
    inference(component_clause,[status(thm)],[f785]) ).

fof(f788,plain,
    ( spl0_47
  <=> member(x,universal_class) ),
    introduced(split_symbol_definition) ).

fof(f790,plain,
    ( ~ member(x,universal_class)
    | spl0_47 ),
    inference(component_clause,[status(thm)],[f788]) ).

fof(f791,plain,
    ( spl0_48
  <=> member(x,kind_1_ordinals) ),
    introduced(split_symbol_definition) ).

fof(f792,plain,
    ( member(x,kind_1_ordinals)
    | ~ spl0_48 ),
    inference(component_clause,[status(thm)],[f791]) ).

fof(f794,plain,
    ( member(x,limit_ordinals)
    | ~ member(x,universal_class)
    | member(x,kind_1_ordinals) ),
    inference(resolution,[status(thm)],[f776,f349]) ).

fof(f795,plain,
    ( spl0_46
    | ~ spl0_47
    | spl0_48 ),
    inference(split_clause,[status(thm)],[f794,f785,f788,f791]) ).

fof(f815,plain,
    ( $false
    | spl0_47 ),
    inference(forward_subsumption_resolution,[status(thm)],[f790,f361]) ).

fof(f816,plain,
    spl0_47,
    inference(contradiction_clause,[status(thm)],[f815]) ).

fof(f817,plain,
    ( $false
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[status(thm)],[f786,f351]) ).

fof(f818,plain,
    ~ spl0_46,
    inference(contradiction_clause,[status(thm)],[f817]) ).

fof(f819,plain,
    ( $false
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[status(thm)],[f792,f350]) ).

fof(f820,plain,
    ~ spl0_48,
    inference(contradiction_clause,[status(thm)],[f819]) ).

fof(f821,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f795,f816,f818,f820]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : NUM183-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.15  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.36  % Computer : n011.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Mon Apr 29 20:41:01 EDT 2024
% 0.13/0.37  % CPUTime  : 
% 0.13/0.38  % Drodi V3.6.0
% 0.13/0.39  % Refutation found
% 0.13/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41  % Elapsed time: 0.030509 seconds
% 0.13/0.41  % CPU time: 0.066895 seconds
% 0.13/0.41  % Total memory used: 16.743 MB
% 0.13/0.41  % Net memory used: 16.673 MB
%------------------------------------------------------------------------------