%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET118-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:34:03 EDT 2023

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (;  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16,axiom,
    ! [U,X,V,Y] :
      ( ~ member(U,X)
      | ~ member(V,Y)
      | member(ordered_pair(U,V),cross_product(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f95,axiom,
    ! [U,V,X,Y] :
      ( ~ member(ordered_pair(U,V),cross_product(X,Y))
      | member(V,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f164,negated_conjecture,
    member(x,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f165,negated_conjecture,
    ~ member(x,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f187,plain,
    ! [X0,X1,X2,X3] :
      ( ~ member(X0,X1)
      | ~ member(X2,X3)
      | member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f277,plain,
    ! [V] :
      ( ! [U,X,Y] : ~ member(ordered_pair(U,V),cross_product(X,Y))
      | member(V,universal_class) ),
    inference(miniscoping,[status(esa)],[f95]) ).

fof(f278,plain,
    ! [X0,X1,X2,X3] :
      ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
      | member(X1,universal_class) ),
    inference(cnf_transformation,[status(esa)],[f277]) ).

fof(f362,plain,
    member(x,cross_product(universal_class,universal_class)),
    inference(cnf_transformation,[status(esa)],[f164]) ).

fof(f363,plain,
    ~ member(x,universal_class),
    inference(cnf_transformation,[status(esa)],[f165]) ).

fof(f367,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | member(ordered_pair(X0,x),cross_product(X1,cross_product(universal_class,universal_class))) ),
    inference(resolution,[status(thm)],[f187,f362]) ).

fof(f368,plain,
    member(ordered_pair(x,x),cross_product(cross_product(universal_class,universal_class),cross_product(universal_class,universal_class))),
    inference(resolution,[status(thm)],[f367,f362]) ).

fof(f369,plain,
    member(x,universal_class),
    inference(resolution,[status(thm)],[f368,f278]) ).

fof(f370,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f369,f363]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET118-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n001.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 10:44:30 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38  % Elapsed time: 0.029530 seconds
% 0.13/0.38  % CPU time: 0.041783 seconds
% 0.13/0.38  % Memory used: 15.729 MB
%------------------------------------------------------------------------------