CSI owns a trademark on "us open 10 ball", "us open 8 ball" and "us open one pocket" along with the various "us bar table championships" etc.
I personally think that's silly as none of these names really mean sh!t. The best tournament, in pool, is the one that pays out the most. The name has proven to not even matter. If I added 500k and free entry to a tournament I wanted to call "the big ass 9ball championship of Southern New Jersey" and had it the same weekend as the US Open 9ball Championship, where do you think the players would go?