TSTP Solution File: SET043-5 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET043-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 12:33:42 EDT 2023

% Result   : Unsatisfiable 0.13s 0.28s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    6 (   2 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    4 (;   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X] :
      ( ~ element(X,a)
      | ~ element(X,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ! [X] :
      ( element(X,X)
      | element(X,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,plain,
    ! [X0] :
      ( ~ element(X0,a)
      | ~ element(X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f4,plain,
    ! [X0] :
      ( element(X0,X0)
      | element(X0,a) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f5,plain,
    ~ element(a,a),
    inference(resolution,[status(thm)],[f4,f3]) ).

fof(f11,plain,
    $false,
    inference(resolution,[status(thm)],[f5,f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SET043-5 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.27  % Computer : n032.cluster.edu
% 0.09/0.27  % Model    : x86_64 x86_64
% 0.09/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27  % Memory   : 8042.1875MB
% 0.09/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27  % CPULimit : 300
% 0.09/0.27  % WCLimit  : 300
% 0.09/0.27  % DateTime : Tue May 30 10:22:45 EDT 2023
% 0.09/0.28  % CPUTime  : 
% 0.09/0.28  % Drodi V3.5.1
% 0.13/0.28  % Refutation found
% 0.13/0.28  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.28  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.29  % Elapsed time: 0.012371 seconds
% 0.13/0.29  % CPU time: 0.024930 seconds
% 0.13/0.29  % Memory used: 2.441 MB
%------------------------------------------------------------------------------