%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET061-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 20:38:53 EDT 2024

% Result   : Unsatisfiable 0.20s 0.38s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   5 unt;   0 def)
%            Number of atoms       :   28 (   8 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  12   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,intersection(X,Y))
      | member(Z,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ! [Z,X] :
      ( ~ member(Z,complement(X))
      | ~ member(Z,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f67,axiom,
    ! [X] :
      ( X = null_class
      | intersection(X,regular(X)) = null_class ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f92,negated_conjecture,
    member(z,null_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f120,plain,
    ! [Z,X] :
      ( ! [Y] : ~ member(Z,intersection(X,Y))
      | member(Z,X) ),
    inference(miniscoping,[status(esa)],[f21]) ).

fof(f121,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f120]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( ~ member(X0,complement(X1))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f168,plain,
    ! [X0] :
      ( X0 = null_class
      | intersection(X0,regular(X0)) = null_class ),
    inference(cnf_transformation,[status(esa)],[f67]) ).

fof(f198,plain,
    member(z,null_class),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f271,plain,
    ! [X0,X1] :
      ( ~ member(X0,null_class)
      | member(X0,X1)
      | X1 = null_class ),
    inference(paramodulation,[status(thm)],[f168,f121]) ).

fof(f432,plain,
    ! [X0] :
      ( member(z,X0)
      | X0 = null_class ),
    inference(resolution,[status(thm)],[f271,f198]) ).

fof(f575,plain,
    ! [X0] :
      ( complement(X0) = null_class
      | ~ member(z,X0) ),
    inference(resolution,[status(thm)],[f432,f125]) ).

fof(f576,plain,
    complement(null_class) = null_class,
    inference(resolution,[status(thm)],[f575,f198]) ).

fof(f607,plain,
    ! [X0] :
      ( ~ member(X0,null_class)
      | ~ member(X0,null_class) ),
    inference(paramodulation,[status(thm)],[f576,f125]) ).

fof(f608,plain,
    ! [X0] : ~ member(X0,null_class),
    inference(duplicate_literals_removal,[status(esa)],[f607]) ).

fof(f609,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f198,f608]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET061-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 21:39:02 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.20/0.38  % Refutation found
% 0.20/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.38  % Elapsed time: 0.030050 seconds
% 0.20/0.38  % CPU time: 0.085465 seconds
% 0.20/0.38  % Total memory used: 16.273 MB
% 0.20/0.38  % Net memory used: 16.201 MB
%------------------------------------------------------------------------------