Session expire

Hello there guys, im having a basic problem with the session expire

What im intent to do is when the session expires auto logout the user.

This is the code for the login page which sets the session.

PHP Code:

$result = $this->db->query("SELECT * FROM rulers WHERE username = '".$username."' AND password = '".$pass."'");
        $row = $result->row();

        $time = $this->session->sess_expiration = 10;
        $userdata = array(
            'user_id'                  =>$row->id,
            'username'              =>$row->username,
            'time'                    =>$time,
            'Administration_login'    => true
        );
        
        $this->session->set_userdata($userdata); 


And this is the check code

PHP Code:

$login = $this->session->get_userdata('time');
        
        if($login == 0){
            $this->session->sess_destroy();
            redirect('Administration/Login','Location');
        }