On an island in a far away country there is a population of 100 wolves and 1 sheep. They are the only two living species on the island. The following facts are known to be true:
As the grass is being eaten, it instantaneously grows back. No matter how many times it gets eaten, it will always grow back. It is therefore suitable to state that the island has an infinite supply of grass.
The wolves themselves, unlike the sheep, are part of a very rare and intelligent species. They are actually perfectly rational beings, and can be considered as being infinitely intelligent.
If the sheep were to be eaten, it could only be eaten by a single wolf (the wolves cannot share their prey). However, there is catch:
In this faraway land it is known that after a wolf eats a sheep, the wolf itself will become a sheep and it will therefore be in danger of being eaten by other wolves.
Given all these facts and given the scenario from the very beginning, the question which must be answered is the following:
Will the sheep be eaten?