Sins Rebellion works just fine on my Acer Aspire One with nothing else running. It gets a bit laggy late game, but its still playable . So that's an Intel Atom processor and some dinky video chipset. I'd say if your 4 gig ram system can't handle it, you're video card settings are screwed up.
Oh, and that's without the Sins Optimization Project installed. I have it now, but I used to use it without on this tiny machine. Hooked to a monitor, of course.