%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM180-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 12:24:36 EDT 2023

% Result   : Unsatisfiable 0.21s 0.39s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   7 unt;   0 def)
%            Number of atoms       :   33 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   24 (  11   ~;  12   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (;  19   !;   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(f22,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,intersection(X,Y))
      | member(Z,Y) ),
    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,
    ~ subclass(limit_ordinals,ordinal_numbers),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f162,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f189,plain,
    ! [Z,Y] :
      ( ! [X] : ~ member(Z,intersection(X,Y))
      | member(Z,Y) ),
    inference(miniscoping,[status(esa)],[f22]) ).

fof(f190,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f189]) ).

fof(f323,plain,
    intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
    inference(cnf_transformation,[status(esa)],[f139]) ).

fof(f347,plain,
    ~ subclass(limit_ordinals,ordinal_numbers),
    inference(cnf_transformation,[status(esa)],[f159]) ).

fof(f391,plain,
    ! [X0] :
      ( ~ member(X0,limit_ordinals)
      | member(X0,ordinal_numbers) ),
    inference(paramodulation,[status(thm)],[f323,f190]) ).

fof(f392,plain,
    ! [X0] :
      ( member(not_subclass_element(limit_ordinals,X0),ordinal_numbers)
      | subclass(limit_ordinals,X0) ),
    inference(resolution,[status(thm)],[f391,f162]) ).

fof(f427,plain,
    ( spl0_4
  <=> subclass(limit_ordinals,ordinal_numbers) ),
    introduced(split_symbol_definition) ).

fof(f428,plain,
    ( subclass(limit_ordinals,ordinal_numbers)
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f427]) ).

fof(f430,plain,
    ( subclass(limit_ordinals,ordinal_numbers)
    | subclass(limit_ordinals,ordinal_numbers) ),
    inference(resolution,[status(thm)],[f392,f163]) ).

fof(f431,plain,
    spl0_4,
    inference(split_clause,[status(thm)],[f430,f427]) ).

fof(f434,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f428,f347]) ).

fof(f435,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f434]) ).

fof(f436,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f431,f435]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM180-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue May 30 09:52:07 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.36  % Drodi V3.5.1
% 0.21/0.39  % Refutation found
% 0.21/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.40  % Elapsed time: 0.051162 seconds
% 0.21/0.40  % CPU time: 0.188426 seconds
% 0.21/0.40  % Memory used: 18.777 MB
%------------------------------------------------------------------------------