%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET382-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 12:34:29 EDT 2023

% Result   : Unsatisfiable 3.81s 0.87s
% Output   : CNFRefutation 3.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   41 (  12 unt;   0 def)
%            Number of atoms       :   80 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   69 (  30   ~;  38   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   73 (;  73   !;   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(f7,axiom,
    ! [X,Y] :
      ( ~ subclass(X,Y)
      | ~ subclass(Y,X)
      | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,intersection(X,Y))
      | member(Z,X) ),
    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(f28,axiom,
    ! [Xr,X,Y] : intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ! [X,Y,Xr] : intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f113,negated_conjecture,
    subclass(x,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f114,negated_conjecture,
    restrict(x,universal_class,universal_class) != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f115,plain,
    ! [Y,U] :
      ( ! [X] :
          ( ~ subclass(X,Y)
          | ~ member(U,X) )
      | member(U,Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f115]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ subclass(X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f142,plain,
    ! [Z,X] :
      ( ! [Y] : ~ member(Z,intersection(X,Y))
      | member(Z,X) ),
    inference(miniscoping,[status(esa)],[f21]) ).

fof(f143,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f142]) ).

fof(f146,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,X1)
      | ~ member(X0,X2)
      | member(X0,intersection(X1,X2)) ),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f151,plain,
    ! [X0,X1,X2] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f152,plain,
    ! [X0,X1,X2] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f246,plain,
    subclass(x,cross_product(universal_class,universal_class)),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f247,plain,
    restrict(x,universal_class,universal_class) != x,
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f264,plain,
    ! [X0] :
      ( ~ member(X0,x)
      | member(X0,cross_product(universal_class,universal_class)) ),
    inference(resolution,[status(thm)],[f116,f246]) ).

fof(f276,plain,
    ! [X0,X1,X2,X3] :
      ( ~ member(X0,restrict(X1,X2,X3))
      | member(X0,X1) ),
    inference(paramodulation,[status(thm)],[f151,f143]) ).

fof(f292,plain,
    ! [X0] :
      ( subclass(x,X0)
      | member(not_subclass_element(x,X0),cross_product(universal_class,universal_class)) ),
    inference(resolution,[status(thm)],[f117,f264]) ).

fof(f328,plain,
    ! [X0,X1,X2,X3] :
      ( member(not_subclass_element(restrict(X0,X1,X2),X3),X0)
      | subclass(restrict(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f276,f117]) ).

fof(f499,plain,
    ! [X0,X1,X2] :
      ( subclass(restrict(X0,X1,X2),X0)
      | subclass(restrict(X0,X1,X2),X0) ),
    inference(resolution,[status(thm)],[f328,f118]) ).

fof(f500,plain,
    ! [X0,X1,X2] : subclass(restrict(X0,X1,X2),X0),
    inference(duplicate_literals_removal,[status(esa)],[f499]) ).

fof(f546,plain,
    ! [X0,X1,X2] :
      ( ~ subclass(X0,restrict(X0,X1,X2))
      | restrict(X0,X1,X2) = X0 ),
    inference(resolution,[status(thm)],[f500,f122]) ).

fof(f842,plain,
    ! [X0,X1] :
      ( subclass(x,X0)
      | ~ member(not_subclass_element(x,X0),X1)
      | member(not_subclass_element(x,X0),intersection(cross_product(universal_class,universal_class),X1)) ),
    inference(resolution,[status(thm)],[f292,f146]) ).

fof(f843,plain,
    ! [X0,X1] :
      ( subclass(x,X0)
      | ~ member(not_subclass_element(x,X0),X1)
      | member(not_subclass_element(x,X0),restrict(X1,universal_class,universal_class)) ),
    inference(forward_demodulation,[status(thm)],[f152,f842]) ).

fof(f1167,plain,
    ! [X0] :
      ( subclass(x,X0)
      | member(not_subclass_element(x,X0),restrict(x,universal_class,universal_class))
      | subclass(x,X0) ),
    inference(resolution,[status(thm)],[f843,f117]) ).

fof(f1168,plain,
    ! [X0] :
      ( subclass(x,X0)
      | member(not_subclass_element(x,X0),restrict(x,universal_class,universal_class)) ),
    inference(duplicate_literals_removal,[status(esa)],[f1167]) ).

fof(f1404,plain,
    ( spl0_25
  <=> subclass(x,restrict(x,universal_class,universal_class)) ),
    introduced(split_symbol_definition) ).

fof(f1405,plain,
    ( subclass(x,restrict(x,universal_class,universal_class))
    | ~ spl0_25 ),
    inference(component_clause,[status(thm)],[f1404]) ).

fof(f1407,plain,
    ( subclass(x,restrict(x,universal_class,universal_class))
    | subclass(x,restrict(x,universal_class,universal_class)) ),
    inference(resolution,[status(thm)],[f1168,f118]) ).

fof(f1408,plain,
    spl0_25,
    inference(split_clause,[status(thm)],[f1407,f1404]) ).

fof(f1933,plain,
    ( restrict(x,universal_class,universal_class) = x
    | ~ spl0_25 ),
    inference(resolution,[status(thm)],[f1405,f546]) ).

fof(f1934,plain,
    ( $false
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1933,f247]) ).

fof(f1935,plain,
    ~ spl0_25,
    inference(contradiction_clause,[status(thm)],[f1934]) ).

fof(f1936,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1408,f1935]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET382-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:21:48 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.36  % Drodi V3.5.1
% 3.81/0.87  % Refutation found
% 3.81/0.87  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.81/0.87  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.04/0.88  % Elapsed time: 0.533911 seconds
% 4.04/0.88  % CPU time: 4.079970 seconds
% 4.04/0.88  % Memory used: 97.726 MB
%------------------------------------------------------------------------------