premise: Exactly eight books—F, G, H, I, K, L, M, O—are placed on a bookcase with exactly three shelves—the top shelf, the middle shelf, and the bottom shelf. At least two books are placed on each shelf. The following conditions must apply: More of the books are placed on the bottom shelf than the top shelf. I is placed on the middle shelf. K is placed on a higher shelf than F. O is placed on a higher shelf than L. F is placed on the same shelf as M. Which one of the following must be true?
hypothesis: F is placed on a shelf higher than the shelf L is placed on.