The game is complete and theme-relevant. I didn't get it the first time, but played the second time and liked FireStarter.
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Yes, the game is also supposed to teach you how to play through its gameplay. The player will understand how things work by tinkering a bit with available tools and observe the system's reaction ;) So it might be hard to get how things work at the beginning, but you begin to get it after a while.
Thanks for your comment ekitkin!