The only way we can win Spirit is by creating an infinite improbability drive. Now.. I have in my personal collection of 'doomsday devices' (Note - they don't all have to be devices that destroy the universe) an improbability drive. So all we need now is a nice hot cup of tea and the probability of randomly generating an infinite improbability drive from thin air.
Then we can easily win... We can calculate the probability of causing a suitable carnivore to randomly synthesise in the air next to said sperm whale. Whack it into the infinite improbability drive. Bobs your uncle, Fannys your aunt and we have solved the crisis!
The only problem now is to think of a suitable predator.. and don't suggest a giant or colossal squid, because the sperm whale will easily disable it with a high powered 'scream', amplified through its spermaceti organ in the upper section of its head. :/