Earlier quoted context omitted.
I think that trains can travel in both directions on the same track and the schedule keeps them from hitting each other head-on.
scheduling hasn't been used for preventing conflicting movements since the 1830s https://en.wikipedia.org/wiki/Railway_signalling#History_of_...
The worst will have been avoided, but at least one of the train will have to back down to the nearest junction, and depending on how packed it is they might have to back down a few more train as well. I’d assume in reality it would deadlock from there.