This chapter of the Outlast II guide is a complete walkthrough for the stage called Inner Demon. Here, you can find hints that will help you complete it. Moreover, recordings and notes that have to be recorded with the camcorder as well as the location of batteries and bandages, which are integral part of the gameplay, are listed in this section.
After you've entered the building, you are taken to the school again. One of the exits is blocked, the only available paths are to the left and right. Go left first. But first, record this hangman (Hangman #55).
In one of the classrooms, you will find the slide on which schoolgirls played hangman. Having seen it, move in the opposite direction. Go right and straight on. Pass the corridor with the lockers and enter the classroom with the projector. Move it so that it highlights the hangman drawn on the board.
Then, place the slide in the projector. Move so that the slide fits the elements drawn on the board. This way, you can move to the next stage of the quest.
In the place where you saw a hangman earlier, now there is a door. Use it to move forward. Go straight on until you see the emergency door. It's locked. To continue, you have to run back to the door through which you entered the corridor.
The picture will collapse and you will be taken to the emergency exit. Run through the corridor and you will see an open door on the left that wasn't there before. Enter the room. Grab the cart marked in the picture  and place it under the broken part of the ceiling . Then, climb on it.
In the shaft, crawl forward. After a while, you will be taken back to the path to the mine.