[Kiwami]

Philip knows more, having access to the Earth's memory and all, but he needs to look it up in the Gaia Library first if he hasnt encountered the topic yet, that could be the key in this matchup. Ryoma is a little devil, so he would trick Philip into an obscure topic that he doesnt know about yet and out-genius him there.

If all is played fair and square, Philip wins, but if Ryoma has the opportunity to play his way he wins.