I think it's not even necessary to add the title '悪魔の証明'. People might get a wrong idea to this movie. Eventually people will know what was supposed to mean but it sounds more likely that it's a horror movie.
If you carefully watch the movie, you'll get how the story goes. It could be easy to guess.
But I didn't do that so the ending surprised me.
The point of this movie is what you're fighting for.