TSTP Solution File: SET024-6 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET024-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 12:33:37 EDT 2023

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (;   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X,Y] :
      ( ~ member(X,universal_class)
      | member(X,unordered_pair(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X] : unordered_pair(X,X) = singleton(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f93,negated_conjecture,
    ~ member(x,singleton(x)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f104,plain,
    ! [X] :
      ( ~ member(X,universal_class)
      | ! [Y] : member(X,unordered_pair(X,Y)) ),
    inference(miniscoping,[status(esa)],[f9]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,unordered_pair(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f104]) ).

fof(f109,plain,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f199,plain,
    member(x,universal_class),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f200,plain,
    ~ member(x,singleton(x)),
    inference(cnf_transformation,[status(esa)],[f93]) ).

fof(f249,plain,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | member(X0,singleton(X0)) ),
    inference(paramodulation,[status(thm)],[f109,f105]) ).

fof(f297,plain,
    ~ member(x,universal_class),
    inference(resolution,[status(thm)],[f249,f200]) ).

fof(f298,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f297,f199]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET024-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue May 30 10:16:27 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.25/0.58  % Elapsed time: 0.017714 seconds
% 0.25/0.58  % CPU time: 0.046126 seconds
% 0.25/0.58  % Memory used: 15.210 MB
%------------------------------------------------------------------------------