What Jim said. If the wood is riven, i.e. split out from the log, then you don't need the adze. We can get into all kinds of "discussions" on names and types of planes, but if we're just going back as far as planes go, then the idea is that regardelss of what you call them, you go from the cruder to the finer.
The adze or broad axe are just unbounded blades. Chisels are the same but just set at a different angle to work.
The plane is a bounded edge that has more control of cut. The wider the mouth and deeper the blade the less control but the more material that can be removed. The whole idea when working with hand tools is to get from rough to smooth with the least number of steps and least amount of work, and it can be REAL work while getting to the level of flatness and finish appropriate to the use. Timbers for the rafters of the local nobleman were worked to a very different level of fit and finish then the timbers for a barn. And timbers for building were worked to a very different fit and finish than lumber for furniture. You get the idea.
So, as Jim says, it depends. It depends on the time period, the purpose and who was doing it.
I personally like to work from a big-mouthed #6 I have down to fine finish plane, either a #4 or my petite #3 that cuts so sweetly. If you need flat, then a joiner (jointer) plane will be in there somewhere. I like the #6 because I'm not a small person and I like a plane with some heft as I take deep cuts. It all depends, too, on how rough is rough. If I was going from a deeply chunked board from an adze, I'd agree with Andy and got to a broad axe if I had one.
Of course, if you're having to rely on an adze to bring your lumber down to thickness, it sounds like either you're working in a period or place where planes aren't that common, or your lumber is really for construction rather than furniture. In that case, the adze, in the right hands, could be the final tool needed.