%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET081-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 12:33:54 EDT 2023

% Result   : Unsatisfiable 0.10s 0.36s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   22 (  14 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   7   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (;  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [U,X,Y] :
      ( ~ member(U,unordered_pair(X,Y))
      | U = X
      | U = Y ),
    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(f125,negated_conjecture,
    member(y,singleton(x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f126,negated_conjecture,
    y != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f135,plain,
    ! [U,Y] :
      ( ! [X] :
          ( ~ member(U,unordered_pair(X,Y))
          | U = X )
      | U = Y ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f136,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    inference(cnf_transformation,[status(esa)],[f135]) ).

fof(f142,plain,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f278,plain,
    member(y,singleton(x)),
    inference(cnf_transformation,[status(esa)],[f125]) ).

fof(f279,plain,
    y != x,
    inference(cnf_transformation,[status(esa)],[f126]) ).

fof(f380,plain,
    ! [X0,X1] :
      ( ~ member(X0,singleton(X1))
      | X0 = X1
      | X0 = X1 ),
    inference(paramodulation,[status(thm)],[f142,f136]) ).

fof(f381,plain,
    ! [X0,X1] :
      ( ~ member(X0,singleton(X1))
      | X0 = X1 ),
    inference(duplicate_literals_removal,[status(esa)],[f380]) ).

fof(f383,plain,
    y = x,
    inference(resolution,[status(thm)],[f381,f278]) ).

fof(f384,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f383,f279]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem  : SET081-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34  % Computer : n011.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8042.1875MB
% 0.10/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Tue May 30 10:12:12 EDT 2023
% 0.10/0.34  % CPUTime  : 
% 0.10/0.35  % Drodi V3.5.1
% 0.10/0.36  % Refutation found
% 0.10/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.57  % Elapsed time: 0.018769 seconds
% 0.16/0.57  % CPU time: 0.019535 seconds
% 0.16/0.57  % Memory used: 3.975 MB
%------------------------------------------------------------------------------