%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET113-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 20:39:11 EDT 2024

% Result   : Unsatisfiable 0.17s 0.35s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f154,axiom,
    ! [X] :
      ( member(ordered_pair(first(X),second(X)),cross_product(universal_class,universal_class))
      | first(X) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f160,negated_conjecture,
    ~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f161,negated_conjecture,
    first(x) != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f348,plain,
    ! [X0] :
      ( member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))
      | first(X0) = X0 ),
    inference(cnf_transformation,[status(esa)],[f154]) ).

fof(f354,plain,
    ~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
    inference(cnf_transformation,[status(esa)],[f160]) ).

fof(f355,plain,
    first(x) != x,
    inference(cnf_transformation,[status(esa)],[f161]) ).

fof(f468,plain,
    first(x) = x,
    inference(resolution,[status(thm)],[f348,f354]) ).

fof(f469,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f468,f355]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET113-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33  % Computer : n007.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Apr 29 21:42:02 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.11/0.35  % Drodi V3.6.0
% 0.17/0.35  % Refutation found
% 0.17/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.36  % Elapsed time: 0.026725 seconds
% 0.17/0.36  % CPU time: 0.046923 seconds
% 0.17/0.36  % Total memory used: 14.410 MB
% 0.17/0.36  % Net memory used: 14.386 MB
%------------------------------------------------------------------------------