[jchw]

I actually checked because I thought the same thing immediately, but I think what Intel actually trademarked was "Core", as in "Intel® Core™2 Duo"

The closest mark I could find is a wordmark for INTEL CORE INSIDE DUO cancelled in 2014 due to disuse.

https://tsdr.uspto.gov/#caseNumber=78775512&caseSearchType=U...