You are correct. However, humans sometimes do write stuff that "looks like it solves the problem". A prime example of this is a student who doesn't know how to answer a question. So they make up a plausible sounding answer.

As a exam grader, you can easily tell when a student has the mindset of "solving a problem" but made a mistake, and when they had the mindset of "looks like it solves the problem" and just wrote some stuff.