Sure, but the logic puzzle is also making the implicit statement that “At least one of (A), (B), (C), (D), or (E) can be concluded”, and only one of “At least one of (A), (B), (C), (D), (E) can be concluded” and “Pinocchio is making a statement that he has at least two hats and each one is green” can be true. I would argue “At least one of (A), (B), (C), (D), or (E) can be concluded” is the stronger implicit statement. Word problems are horrible for this sort of thing.
