%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET045-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 20:38:49 EDT 2024

% Result   : Unsatisfiable 0.11s 0.35s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (   9   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X,Y] :
      ( ~ element(X,f(Y))
      | ~ element(X,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y] :
      ( ~ element(X,Y)
      | element(X,X)
      | element(X,f(Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ! [X] : element(X,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X] :
      ( ! [Y] : ~ element(X,f(Y))
      | ~ element(X,X) ),
    inference(miniscoping,[status(esa)],[f2]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ~ element(X0,f(X1))
      | ~ element(X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | element(X0,X0)
      | element(X0,f(X1)) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f9,plain,
    ! [X0] : element(X0,a),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
    ! [X0] :
      ( element(X0,X0)
      | element(X0,f(a)) ),
    inference(resolution,[status(thm)],[f8,f9]) ).

fof(f11,plain,
    ~ element(f(a),f(a)),
    inference(resolution,[status(thm)],[f10,f7]) ).

fof(f29,plain,
    $false,
    inference(resolution,[status(thm)],[f11,f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET045-5 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34  % Computer : n023.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 300
% 0.11/0.34  % DateTime : Mon Apr 29 21:45:10 EDT 2024
% 0.11/0.34  % CPUTime  : 
% 0.11/0.35  % Drodi V3.6.0
% 0.11/0.35  % Refutation found
% 0.11/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.36  % Elapsed time: 0.012420 seconds
% 0.11/0.36  % CPU time: 0.021361 seconds
% 0.11/0.36  % Total memory used: 1.897 MB
% 0.11/0.36  % Net memory used: 1.806 MB
%------------------------------------------------------------------------------