Just to clarify this, the only way to exit the room is to hit the five buttons on each wall in the room. Yes, you need to run into the fire area to hit one of the buttons. As Raze mentioned, there is also a locked chest in the fire area, but it is not necessary to open it (it contains random loot). Once all five buttons are pressed, the seer stone spawns and the exit unlocks and the player can leave.