That's a whole bunch of unearned certainty, but the same point applies to a post-apocalyptic resurgence of humanity; the second industrial revolution is going to be missing the readily accessible coal and oil that drove the first one along.
But if we're talking about a second industrial revolution it won't be like the first one, because:
- There will be more carbon in the air, hence more wood to chop and burn
- There will books lying around describing how to leapfrog many steps
I don't think it'd take 10000 years again to restore civilization the second time around.