As with all of these Avid errors, just skip ahead to other less-technical blog content. I post these when I want solutions to turn up better in searches for other Avid users (and myself).
After accidentally attempting to consolidate some of Avid's internal media, like the "Media Offline" card, I stated getting an "Exception: Unsupported Resolution" error.
It seems from this thread that there are a number of things that can cause this. But this advice is what worked for me:
Found a fix for this (for me anyway) on a Mac. I had the same problem "Exception: Unsupported Resolution". Tried all the things the forums suggested, including a complete re-install of the MC software... STILL had the problem. Eventually distilled it down to this: apparently the Avid did not think that's it "internally generated" media files were supported. By "interally generated" I mean, basically, Avid internal BLACK signal media, etc. Turns out the Avid software ships with an "Avid Media Files" folder in the Application folder than contains media and media databases. Trash those 2 databases (just like you would on any regular media directory) and, upon relaunch, Avid rebuilds them and... poof... no more "Exception: Unsupported Resolution". Here is the directory path to delete the database files:
/Applications/Avid Media Composer/SupportingFiles/Avid_MediaFiles/ ---> delete "msmMMOB.mdb" and "msmFMID.pmr"
So definitely try this before reinstalling Media Composer.