%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET101-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 12:34:00 EDT 2023

% Result   : Unsatisfiable 0.06s 0.28s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (  11 unt;   0 def)
%            Number of atoms       :   19 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (;  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X,Y] :
      ( ~ member(X,universal_class)
      | member(X,unordered_pair(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [X,Y] : member(unordered_pair(X,Y),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X] : unordered_pair(X,X) = singleton(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X,Y] : unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f92,negated_conjecture,
    ~ member(singleton(x),ordered_pair(x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f103,plain,
    ! [X] :
      ( ~ member(X,universal_class)
      | ! [Y] : member(X,unordered_pair(X,Y)) ),
    inference(miniscoping,[status(esa)],[f9]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,unordered_pair(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f103]) ).

fof(f107,plain,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f108,plain,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f109,plain,
    ! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f198,plain,
    ~ member(singleton(x),ordered_pair(x,y)),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f204,plain,
    ! [X0] : member(singleton(X0),universal_class),
    inference(paramodulation,[status(thm)],[f108,f107]) ).

fof(f254,plain,
    ! [X0,X1] :
      ( ~ member(singleton(X0),universal_class)
      | member(singleton(X0),ordered_pair(X0,X1)) ),
    inference(paramodulation,[status(thm)],[f109,f104]) ).

fof(f255,plain,
    ! [X0,X1] : member(singleton(X0),ordered_pair(X0,X1)),
    inference(forward_subsumption_resolution,[status(thm)],[f254,f204]) ).

fof(f259,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f198,f255]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : SET101-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26  % Computer : n003.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 300
% 0.06/0.26  % DateTime : Tue May 30 10:14:23 EDT 2023
% 0.06/0.26  % CPUTime  : 
% 0.06/0.27  % Drodi V3.5.1
% 0.06/0.28  % Refutation found
% 0.06/0.28  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.28  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.28  % Elapsed time: 0.018330 seconds
% 0.06/0.28  % CPU time: 0.026214 seconds
% 0.06/0.28  % Memory used: 15.101 MB
%------------------------------------------------------------------------------