If you know of other vids using the same music

If you know of other vids using the same music, either YouTube will
take them down eventually, or someone who's jealous will flag them.
If you're willing to take the chance and re-upload your video with the
same music, do not write the name of the song or artist in your title,
description or tags. Also, avoid irrelevant phrases like "no copyright
infringement intended", "I do not own the music" or "I don't take any
credit for this song". Not only do YouTube's upload servers look out
for song titles, artists' names and sentences like those, you're also
stating that you have knowingly taken, used, copied or maybe even
stolen someone else's copyrighted material. It doesn't matter if you
write something stupid like: "I don't claim it as my own". Your video
proves that you HAVE claimed it and used it for your own purposes.

You should also consider the fact that the music-recording industry
is starting to use hidden "watermarks" or "fingerprints" buried within
their music, in order to uncover and identify their illicit use. As such,
it is possible that no matter how many times you try to upload your
video, it may always be rejected because of "copyright infringement".
You'd thus be better off trying to find a different version of the music
you want to use. If you have seen other videos apparently using the
exact same music, those videos were probably up on YouTube just
before this new technology really started coming into being.

Of course, there are some record labels and artists that permit you
to use their music for YouTube video purposes, but that is because
YouTube has actually paid them for all the different rights (although
not necessarily for every country).