I don't personally find the mentions of Tartarus and Hades to be very meaningful or indicative that the Bible is not inspired, as it could simply be assumed that the writers were using those Greek concepts as analogies for teaching the Greek-influenced audience basic theological truths.
But the point-by-point explanations of Genesis' creation accounts, Flood accounts, and Red Sea accounts, which I found on contradictionsinthebible.com a few months after I learned TTATT, were sufficient to convince me that the Bible is properly viewed as a collection of ancient man-made Jewish writings from different time periods and different schools of thought. It might be best to read the Essential Reading links in the sidebar first.
Overview of creation accounts: http://contradictionsinthebible.com/genesis-2-creation-accounts/
The Flood: http://contradictionsinthebible.com/the-flood-narratives/
Crossing the Red Sea: http://contradictionsinthebible.com/how-is-the-red-sea-dried-up-moses-rod-or-yahwehs-wind/
It's quite eye-opening to see the dual Flood and Red Sea accounts that have been merged get separated again. I know this is a lot of material, and quite off-topic from your question; I guess I just feel that it's much more essential for you to know that material than to discuss some minor mention of Tartarus