What will happen if you have a position where no one can lose?
[fen "5k2/8/1p1p1p2/pBpP1Pp1/P1PpK1P1/1P1Pb3/8/8 b - - 0 1"]
Here is my game, I know it is live960 but I was wondering the outcome for a standard format chess game; will it be a draw because no one can win?
It also could be draw by agreement and 50 move. I am also aware that since there are bishops that can move actively at any time other than the king it can't work for this position.
What if one person loses their time or can you keep playing until the clock is out of time? I am looking to see if there is a type of draw unique for this kind of position. If so what is it called, is it in FIDE and USCF?
I am aware that statistically a game like this is probably the rarest of the rare but it happened to me and that is why I am asking this question.