I have six of these in my DVD collection!

Consider this a "Write In" vote for Fail Safe. An excellent "what-if" film that is shamelessly overlooked in Sci-Fi discussions.
Another one, although a bit of a stretch, in terms of suspending disbelief, is "AI", a little-known flick from Spielberg. It's a look at how humans may disappear to be replaced by Artificial Intelligence as the world's dominant "life form".

On your list, I'd have to go with TDTESS.