TSTP Solution File: SET055-6 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET055-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 20:38:51 EDT 2024

% Result   : Unsatisfiable 0.15s 0.36s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (   9   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f69,axiom,
    ! [X,Y] :
      ( member(not_subclass_element(X,Y),X)
      | subclass(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f70,axiom,
    ! [X,Y] :
      ( ~ member(not_subclass_element(X,Y),Y)
      | subclass(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f74,axiom,
    ! [X,Y] :
      ( ~ subclass(X,Y)
      | ~ subclass(Y,X)
      | equalish(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f159,negated_conjecture,
    ~ equalish(x,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f280,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f69]) ).

fof(f281,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f70]) ).

fof(f285,plain,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ subclass(X1,X0)
      | equalish(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f74]) ).

fof(f384,plain,
    ~ equalish(x,x),
    inference(cnf_transformation,[status(esa)],[f159]) ).

fof(f385,plain,
    ! [X0] :
      ( subclass(X0,X0)
      | subclass(X0,X0) ),
    inference(resolution,[status(thm)],[f281,f280]) ).

fof(f386,plain,
    ! [X0] : subclass(X0,X0),
    inference(duplicate_literals_removal,[status(esa)],[f385]) ).

fof(f398,plain,
    ! [X0] :
      ( ~ subclass(X0,X0)
      | equalish(X0,X0) ),
    inference(resolution,[status(thm)],[f285,f386]) ).

fof(f399,plain,
    ! [X0] : equalish(X0,X0),
    inference(forward_subsumption_resolution,[status(thm)],[f398,f386]) ).

fof(f400,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f384,f399]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET055-6 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30  % Computer : n017.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
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon Apr 29 21:19:48 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.6.0
% 0.15/0.36  % Refutation found
% 0.15/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.36  % Elapsed time: 0.053015 seconds
% 0.15/0.36  % CPU time: 0.311380 seconds
% 0.15/0.36  % Total memory used: 16.614 MB
% 0.15/0.36  % Net memory used: 16.439 MB
%------------------------------------------------------------------------------