premise: A researcher is studying seven manuscripts—F, G, H, L, M, P, and S—to determine their relative ages. It is known that no two manuscripts were written at the same time. The researcher has also determined the following: H was written earlier than S but later than F. P was the next manuscript written after G. At least four of the manuscripts were written earlier than L. At least four of the manuscripts were written later than M. H was not written fifth. Which one of the following manuscripts CANNOT have been written third?
hypothesis: P