How to Complete The Stone With No Name
The objective is to examine the Stone with No Name. This time there are three of them. You can ignore the three Luchorpans or kill them if you wish.
After that, there is a battle where the objective is to defeat the Demon Wall. If you do not defeat the Demon Wall quickly enough, it can push you off of the edge. However, it moves slowly, so this is unlikely to happen. Just be prepared to deal with its ability to cause Immobilize, Sleep, and Petrify.