It would take almost as long to check things like this with Alice as it would to manually check things alone. You'd have to make up your mind to check each possible answer individually, and then Alice could see what would happen if you went on to actually check it. It might save a little time relative to actually going through elaborate checking rigmarole, although adding a second person to the task would make it more person-hours on net.

But you can't just make up your mind to check every possible answer, without picking out a specific one and going, "I'm planning to check this one and then stop". That isn't a plausible thing for you to decide to do if you actually know how hard it's supposed to be, because there's no way you'll actually do it. So Alice can't see you finding the answer.