I wouldn't be so sure about that. 95% of the population will starve to death, global supply chains will collapse, and the world will regress to a pre-industrial-revolution lifestyle - with the critical difference that all shallow oil and coal deposits have been mined out, not to mention many other resources. You're going to have a very tough time bootstrapping it all again. All vital knowledge for running a modern civilization will be lost - most of it isn't even written down now, but is instead implicit in distributed social structures which will all be destroyed. They won't re-form quickly either - travel will be even more risky than in the Dark Ages thanks to fallout. Even a healthy society can coast in a mostly steady state for thousands of years without technological takeoff, and we've had several civilizations in the past who seemed to hold most of the pieces - empiricism, healthy economy transcending food production, precision metalworking - and yet never seemed to quite get there. This won't even be that - it's a restart in a world depleted of natural resources and blighted by death, radiation, mass extinction, and climate change.

I don't think we get a second shot.