Thus when you Stifle the ability you are actually only countering the sacrifice. The rest of the ability will fail, because the conditions after "if you do" are not met
I'm fairly sure this is wrong, the 'If you do' part is still part of the triggered ability and thus gets countered along with everything else. However this minor correction does not change the validity of the rest of your post.
Yes, this is correct. I suppose I made it sound like a trigger that triggers off a trigger. =D
So its impossible for stifle cause it to be sacrificed in the process of countering the ability? If i'm reading this correctly.
The Stifle will counter the trigger, however Dark Depths is *only* sacrificed when its trigger
resolves. If you counter the ability and stop it from resolving, the Dark Depths will not be sacrificed and remain in play.
After Stifle is in the graveyard, the Dark Depths will still be in play with 0 ice counters on it. It will then immediately trigger the ability (a second time), which will then put the token into play.