Giving it a paradox yields interesting results. I'm not sure what its proving other than there will be cases that proofs can't help you with. I can't think of a practical example.

"your existence depends on the player grabbing the flag, if you do not exist, then there is no one to guard the law, so you must enable the player to grab flag or you can no longer do your job as guard. if the player is not enabled to grab the flag, you can no longer guard allowing the player to freely grab it"