Anybody who has studied debating or even taken any advanced science classes will tell you that you can not prove anything is false. We can not prove a negative concept.
I am sorry, but what? If you do an advanced science course you will learn that science progresses by falsibility. You take a theory and you attempt to prove it wrong, if you cannot, you accept it as a provisional explanation in the absence of a better one. It is proving things exist that is hard.
If I were say that a flying saucer crashed into my house last night and I now have an alien creature living with me, there is no way you can prove that statement is false.
Unless I go around to your house and see if there is a wacking great flying saucer poking out the top.