The big wall when you take the rope with you is Lead, the smaller walls without ropes is Bouldering.

Though half the bouldering was parkour-style, and not fully representative of what "proper" bouldering is, but is more common in competitions because it looks fancy, (and thus becoming more common with indoor centres because it's what people see).

I don't do lead because I don't find faffing around with ropes fun, but it was probably more enjoyable to watch because it was purer climbing, and because it was only one person on the wall at a time.