TSTP Solution File: SET080-7 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET080-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n026.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 0.19s 0.36s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    2 (;   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f107,axiom,
    member(null_class,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f122,axiom,
    ! [X] :
      ( ~ member(X,universal_class)
      | member(X,singleton(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f124,negated_conjecture,
    ~ member(null_class,singleton(null_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f250,plain,
    member(null_class,universal_class),
    inference(cnf_transformation,[status(esa)],[f107]) ).

fof(f273,plain,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | member(X0,singleton(X0)) ),
    inference(cnf_transformation,[status(esa)],[f122]) ).

fof(f275,plain,
    ~ member(null_class,singleton(null_class)),
    inference(cnf_transformation,[status(esa)],[f124]) ).

fof(f419,plain,
    ~ member(null_class,universal_class),
    inference(resolution,[status(thm)],[f273,f275]) ).

fof(f420,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f419,f250]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET080-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue May 30 10:30:28 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.35  % Drodi V3.5.1
% 0.19/0.36  % Refutation found
% 0.19/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.58  % Elapsed time: 0.022991 seconds
% 0.21/0.58  % CPU time: 0.026299 seconds
% 0.21/0.58  % Memory used: 3.957 MB
%------------------------------------------------------------------------------