Proofs, Barriers and P vs NP It is well known that any proof resolving the P vs NP question must overcome relativization, natural proofs and algebrization barriers. The following diagram partitions the "proof space" into different regions. For example, $RN$ corresponds to the set of proofs that relativize and naturalize. $GCT$ (Geometric Complexity Theory) is of course the strictly outside region.

Name some proofs along with the best known regions they belong to. Place them in a best possible way i.e., if a proof is known to relativize, naturalize and algebrize then it should be placed in $RNA$ not just in $RN$. If a proof relativizes but does not naturalize it belongs to $R$ ${\setminus}$ $N$ and so on.
I think you need to redraw your Venn diagram... any containment of complexity classes which relativizes will also algebrize, at least in the sense of Aaronson and Wigderson. That is, access to the "low-degree extension" of an oracle is only more powerful than access to the oracle. Similarly, any oracles showing that a separation requires "non-algebrizing" techniques implies that "non-relativizing" techniques are also required.