MySQL Java Update Syntax

I just trying to use a update in my application, but i just can't. A the console, this mysql command works, but here, doesn't.

Well, I use this in my program:

    conexao = poolMySQL.connect();
    final String sql = "UPDATE professor  SET codlocal = ?  WHERE codprof = ?";

    pstmt = conexao.prepareStatement(sql);


    pstmt.setInt(1, local);
    pstmt.setInt(2, id);
    try {
        pstmt.executeUpdate(sql);
    } catch (SQLException ex) {
        Logger.getLogger(ProfessorDAO.class.getName()).log(Level.SEVERE, null, ex);
    }

Just reminding, codlocal is a foreign key from another table, named Localidade. I saw some examples about join, but i just can't imagine how this can work for me.

And I get this:

    Grave: null
    com.mysql.jdbc.exceptions.jdbc4.MySQLSyntaxErrorException: You have an error in your SQL syntax; check the manual that corresponds to your MySQL server version for the right syntax to use near '?  WHERE codprof = ?' at line 1
    at sun.reflect.NativeConstructorAccessorImpl.newInstance0(Native Method)
    at sun.reflect.NativeConstructorAccessorImpl.newInstance(NativeConstructorAccessorImpl.java:57)
    at sun.reflect.DelegatingConstructorAccessorImpl.newInstance(DelegatingConstructorAccessorImpl.java:45)
    at java.lang.reflect.Constructor.newInstance(Constructor.java:525)
    at com.mysql.jdbc.Util.handleNewInstance(Util.java:409)
    at com.mysql.jdbc.Util.getInstance(Util.java:384)
    at com.mysql.jdbc.SQLError.createSQLException(SQLError.java:1054)
    at com.mysql.jdbc.MysqlIO.checkErrorPacket(MysqlIO.java:3566)
    at com.mysql.jdbc.MysqlIO.checkErrorPacket(MysqlIO.java:3498)
    at com.mysql.jdbc.MysqlIO.sendCommand(MysqlIO.java:1959)
    at com.mysql.jdbc.MysqlIO.sqlQueryDirect(MysqlIO.java:2113)
    at com.mysql.jdbc.ConnectionImpl.execSQL(ConnectionImpl.java:2562)
    at com.mysql.jdbc.StatementImpl.executeUpdate(StatementImpl.java:1664)
    at com.mysql.jdbc.StatementImpl.executeUpdate(StatementImpl.java:1583)
    at DAO.ProfessorDAO.atualizaLocalidade(ProfessorDAO.java:153)
    at DAO.Main.main(Main.java:23)

So, what can I do?