1) Can the corp play a Power Shutdown and declare X as 0, even if the runner has no hardware/programs with an install cost less than 0? Does this still count as "resolving the effect" of the card, if nothing happened?
2) Supposing the runner has no hardware or programs installed at all, can the corp play Power Shutdown for any amount?
This ruling seems in direct contradiction to the Partially Resolvable Effects Ruling and the rules on unresolvable effects. Trashing cards from R&D into Archives changes the game state and should thus be a legal play, but according to this ruling it is not.