Sonic The Hedgehog boss music got claimed under DMCA

My kids wanted to do a little "challenge" of trying to see which one of them would be able to finish the original Sonic game the fastest, so I set up a stream that showed both their streams at the same time and broadcasted it onto Twitch.tv.

After the stream was done I was checking the video and got a message part of my video got muted because it contained "copyrighted content owned or controlled by a third party". It muted a minute before the coprighted part and a minute after, too.

Apparantly someone made a song that uses the Robotnik theme, meaning no one will be able to stream this game anymore without getting this part muted?

Here is the "song" that supposedly counts as the copyrighted original

https://www.youtube.com/watch?v=0CCE-QFs0e4

It's 3 years old and has 100 views.

The actual original (by Masato Nakamura):

https://www.youtube.com/watch?v=IAK1pnfod7A

Full message on my video:

"Audio for portions of this video has been muted as it appears to contain copyrighted content owned or controlled by a third party."

Here are the appeal options:

I'm not sure how to appeal this, but I'm not sure if I could appeal this (or under what reason). What do you think?