never taken the time to trademark it?

Hearing about the BYU Tik Tok issue made me think — If a company has been using their trademark for a couple of years, but never took the time to trademark their logos or name etc., could someone else come in and register the trademark and then force that company to pay them for use?

Or does the fact that the second person is not actually using the trademark or logo for business stop them,

Or would the fact that the first company has been using the logo or trademark for a couple of years basically cement the fact that they have rights to it and the 2nd person who registered the trademark has no rights to it?

Anybody know?