Why? Can't it be done same way it's done with copyrighted material: by checking the authors process?
(Because at least in EU law permits writing basically same thing, if both authors reached it organically - have a trail of drafts, other writing process documents. As long as you proved you came upon it without influence from the other author.)
Proving that you done it without AI can be similar. For example - just videotaping whole writing process.
Now, as for if anyone cares about such proofs is another topic.
No technical ability required to verify humans as humans. You just have to close your laptop and meet at a coffee shop. Surprisingly many deals are done this way, because humans like other humans.
So this is the thing that Zitron and Doctorow are always talking about? Naked grifting in the AI industry?