[pixl97]

>There is no way I can give "true, verfiable evidence" for what I ate for breakfast

This depends how far you are in the process of turning your breakfast into poop.

As for the digging up of the pots... it depends on the exact nature of the claim.

Digging up of the clay pot does mean there where humans with clay pots at that place some time in the past. The settlement claim is a larger claim, if they were travelers that lost their pots there, that's a lot different than the pots being buried in a basement of a permanent building. Finding lots of the same kind of pots over a wide area and scale of time show that a certain civilization (may?) have existed in that area.