What would happen if The White House was foreclosed upon?

Technically, this is really not possible. I believe we paid for that house. I am not sure, but I do not think we have a lean on it for any loans. Here is my question. There have been more and one instance where someone who actually had paid completely for their property was foreclosed upon by an automated foreclosure system the banks use. Let us say they did it too The White House. Let us say that no one looked at the address on the paperwork ever (go figure) and noticed that it was 1600 Pennsylvania Ave. Washington DC. Somehow, it even makes it too court and the judge rules in favor of the Bank. What would happen next? Could the bank drop the proceedings and how easy would it be, especially at that point?