You just need to aim at a pedestal or platform or something and press the jump button (if I remember correctly, it should be 's') and you can climb up
I think you got it wrong. Pressing S against the wall doesn't work. What I mean is that you need to find a very high pedestal with a teleportation device (or a door or something like that) on it. This seems to be a game setting. These walls cannot be crossed. I'm sorry that I can't help you, but when you finish the maze and find the last platform, you can do it according to my method.