TSTP Solution File: SET061-7 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET061-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.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 12:33:47 EDT 2023

% Result   : Unsatisfiable 0.15s 0.32s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   11 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   3   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 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   :    8 (;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f66,axiom,
    ! [X] :
      ( X = null_class
      | member(regular(X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f102,axiom,
    ! [Y,X] : ~ member(Y,intersection(complement(X),X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f103,negated_conjecture,
    member(z,null_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f178,plain,
    ! [X0] :
      ( X0 = null_class
      | member(regular(X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f66]) ).

fof(f224,plain,
    ! [X0,X1] : ~ member(X0,intersection(complement(X1),X1)),
    inference(cnf_transformation,[status(esa)],[f102]) ).

fof(f225,plain,
    member(z,null_class),
    inference(cnf_transformation,[status(esa)],[f103]) ).

fof(f233,plain,
    ! [X0] : intersection(complement(X0),X0) = null_class,
    inference(resolution,[status(thm)],[f224,f178]) ).

fof(f237,plain,
    ! [X0] : ~ member(X0,null_class),
    inference(backward_demodulation,[status(thm)],[f233,f224]) ).

fof(f238,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f225,f237]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET061-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30  % Computer : n025.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Tue May 30 10:29:27 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.15/0.31  % Drodi V3.5.1
% 0.15/0.32  % Refutation found
% 0.15/0.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.54  % Elapsed time: 0.016414 seconds
% 0.15/0.54  % CPU time: 0.015274 seconds
% 0.15/0.54  % Memory used: 3.811 MB
%------------------------------------------------------------------------------