They're local snapshots from Time Machine, not Versions and Resume cache. When your backup volume isn't connected to your Mac it saves the backups to your hard drive and moves them over to the backup volume when it's connected. To disable it, run the following command in Terminal (Applications > Utilities > Terminal)
sudo tmutil disablelocal
Alternatively, if you want to enable it again, run:
sudo tmutil enablelocal
Cheers