Hi cargoman,
There is a very good chance that it will.
But, even if the demo runs good, there is always a chance that you will experience problems with the game, either running it at all, or with certain aspects of it, if you install it on a pc that has below-minimum specifications.
So, yes, it will probably run, on low(est) settings. But no guarantees can be given, I'm afraid. And some later updates in patches, might cause problems too.
As said before in this topic, they are called 'minimum requirements' for a reason. Anything below it, is outside any guarantees or certainty.
Regards,
Fred