This could yet be good - anyone remember Edgbaston 2005? Australia set 282 to win, and were 175-8 at the end of Day 4. They lost by just 2 runs.
The target here is 311 (so, higher), but they're slightly better placed at 174-6; if Agar finds some inspiration tomorrow and the English bowlers are slightly off their game, we could still be in for another thriller.