I think it’s a bit more nuanced. Scientists never claim to “know” the answer, they admit that they could be wrong and that the current state-of-the-art is really just a strong belief. It is religion that claims to “know” the answer. Faith is assuming something is right - belief is thinking that something is right, but realizing that it might not be. The latter is closer to science.
It’s still an odd definition. I’m not sure why “solving the problem” is in there, and science is much more than belief - it’s belief with a systematic basis for that belief.