At the heart of the P vs NP problem lies the observation that solution verification seems to be much easier than solution generation. If that applies in this context is another question but I think it is not unreasonable to assume that the judge needs to be less powerful than the performer.
Or in other words, I don't need to be a chef myself to decide if a meal is good or not.
Or in other words, I don't need to be a chef myself to decide if a meal is good or not.