%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET078-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 20:39:01 EDT 2024

% Result   : Unsatisfiable 0.16s 0.32s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   9 unt;   0 def)
%            Number of atoms       :   15 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [Y,X] :
      ( ~ member(Y,universal_class)
      | member(Y,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(f92,negated_conjecture,
    ~ member(singleton(y),unordered_pair(x,singleton(y))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f105,plain,
    ! [Y] :
      ( ~ member(Y,universal_class)
      | ! [X] : member(Y,unordered_pair(X,Y)) ),
    inference(miniscoping,[status(esa)],[f10]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,unordered_pair(X1,X0)) ),
    inference(cnf_transformation,[status(esa)],[f105]) ).

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

fof(f202,plain,
    ! [X0] : member(singleton(X0),universal_class),
    inference(paramodulation,[status(thm)],[f108,f107]) ).

fof(f208,plain,
    ! [X0,X1] : member(singleton(X0),unordered_pair(X1,singleton(X0))),
    inference(resolution,[status(thm)],[f106,f202]) ).

fof(f210,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f198,f208]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET078-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n008.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon Apr 29 21:45:57 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.32  % Drodi V3.6.0
% 0.16/0.32  % Refutation found
% 0.16/0.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.32  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.33  % Elapsed time: 0.017957 seconds
% 0.16/0.33  % CPU time: 0.021430 seconds
% 0.16/0.33  % Total memory used: 11.385 MB
% 0.16/0.33  % Net memory used: 11.381 MB
%------------------------------------------------------------------------------