I somehow won :). I could not get to the orange thing though.
Spoiler?
I was somehow able to move the crate by jumping on it or throwing the purple thing on it. I don't know what exactly caused it to move. Then, I activated the gate and destroyed the crate with just the purple thing. Why did the purple thing work on both the gate and the crate? I though the signs were giving me clues about what to use on what.Also, jumping onto the tree did not seem to work for me. I always fell to the ground.
Edit: I liked the concept of figuring out the clues to know that to do. The game could use a reset button.