Throwing out your mismatched socks

At the point of writing this I have 3 daughters that are 9, 7 and 3 years old. Over the last nine years we have had lots of growing feet, fun patterned socks purchased, and mysterious disappearances. I need someone who lives on the conspiracy theory fringes of the Internet to prove for me definitively that this is undeniable proof that aliens exist and that they feast on socks. I frankly have no idea how else this happens!