1. Limited Use License. Owner grants you the non-exclusive, non-transferable, limited right and license to use one copy of the Program solely for your personal use on a single computer.
That should answer the question. So legally you have to uninstall it on the first machine and install it on the second afterwards.
However. There is one exception. If you wish to run a dedicated server for Multiplayer, then you are permitted to use a second installment on a second computer. You can however NOT use this second installment to play simultaneously on two computers, together with another person. A friend, family member, etc. There can only ever be one player active with one installment.
If you do share the game with another, on a second pc, at the same time, and you are caught online with it, your license key will be blocked and you may be banned aswell.
Hope that clears it up for you.
Regards,
Fred