%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET103-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 20:39:09 EDT 2024

% Result   : Unsatisfiable 0.09s 0.37s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  16 unt;   0 def)
%            Number of atoms       :   20 (  15 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   7   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    ! [X,Y] : unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f108,axiom,
    ! [X,Y] : unordered_pair(X,Y) = unordered_pair(Y,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f126,axiom,
    ! [X] :
      ( member(X,universal_class)
      | singleton(X) = null_class ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f148,negated_conjecture,
    unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f149,negated_conjecture,
    ~ member(y,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f166,plain,
    ! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f276,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[status(esa)],[f108]) ).

fof(f302,plain,
    ! [X0] :
      ( member(X0,universal_class)
      | singleton(X0) = null_class ),
    inference(cnf_transformation,[status(esa)],[f126]) ).

fof(f325,plain,
    unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,y),
    inference(cnf_transformation,[status(esa)],[f148]) ).

fof(f326,plain,
    ~ member(y,universal_class),
    inference(cnf_transformation,[status(esa)],[f149]) ).

fof(f332,plain,
    unordered_pair(singleton(x),unordered_pair(null_class,x)) != ordered_pair(x,y),
    inference(paramodulation,[status(thm)],[f276,f325]) ).

fof(f333,plain,
    unordered_pair(unordered_pair(null_class,x),singleton(x)) != ordered_pair(x,y),
    inference(forward_demodulation,[status(thm)],[f276,f332]) ).

fof(f387,plain,
    ! [X0,X1] : unordered_pair(unordered_pair(X0,singleton(X1)),singleton(X0)) = ordered_pair(X0,X1),
    inference(forward_demodulation,[status(thm)],[f276,f166]) ).

fof(f410,plain,
    singleton(y) = null_class,
    inference(resolution,[status(thm)],[f302,f326]) ).

fof(f416,plain,
    ! [X0] : unordered_pair(unordered_pair(X0,null_class),singleton(X0)) = ordered_pair(X0,y),
    inference(paramodulation,[status(thm)],[f410,f387]) ).

fof(f440,plain,
    ! [X0] : unordered_pair(unordered_pair(null_class,X0),singleton(X0)) = ordered_pair(X0,y),
    inference(paramodulation,[status(thm)],[f276,f416]) ).

fof(f522,plain,
    ordered_pair(x,y) != ordered_pair(x,y),
    inference(backward_demodulation,[status(thm)],[f440,f333]) ).

fof(f523,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f522]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SET103-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33  % Computer : n012.cluster.edu
% 0.09/0.33  % Model    : x86_64 x86_64
% 0.09/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33  % Memory   : 8042.1875MB
% 0.09/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33  % CPULimit : 300
% 0.09/0.33  % WCLimit  : 300
% 0.09/0.33  % DateTime : Mon Apr 29 21:43:42 EDT 2024
% 0.09/0.33  % CPUTime  : 
% 0.09/0.34  % Drodi V3.6.0
% 0.09/0.37  % Refutation found
% 0.09/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.39  % Elapsed time: 0.054070 seconds
% 0.09/0.39  % CPU time: 0.284758 seconds
% 0.09/0.39  % Total memory used: 65.028 MB
% 0.09/0.39  % Net memory used: 64.796 MB
%------------------------------------------------------------------------------