This looks suspicious:
Install OS X Mountain Lion[328]: @(#)PROGRAM:Install PROJECT:Install-729
Install OS X Mountain Lion[328]: @(#)PROGRAM:IA PROJECT:InstallAssistant-351
Install OS X Mountain Lion[328]: Hardware: VMware7,1 @ 2.19 GHz (x 2), 4096 MB RAM
Install OS X Mountain Lion[328]: Running OS Build: Mac OS X 10.8.1 (12B2080)
I think that is a "machine-specific" build number of Mac OS (although Apple seems to be doing some strange things with those numbers lately, and yours does not match any on that list). The released build of Mac OS X 10.8.1 is build 12B19, according to the official Apple documentation.
Did you install from the software image (or Recovery HD) that came with the Macmini6,2 or was downloaded by the Macmini6,2? Those machine-specific images generally don't work properly in a virtual machine, because they are supposed to be tied to the host hardware. If it's a machine-specific image, I'm surprised that it installed at all... usually they refuse very early in the installation process.
Do you have access to media for the original release of Mountain Lion 10.8.0 GA (12A269)? That might behave better...
Cheers,
--
Darius