Fight for a Snack: Problem

I have an apple, a banana and a carrot.  My neighbor on the left
fights with me for the apple; maybe he will succeed in taking it
away from me, maybe he won't.  After that, my neighbor on the right
fights with me for the banana.  After these two events, who are
the possible owners of the apple, the banana and the carrot?

Represent this commonsense reasoning problem in an implemented
declarative language, and use the implementation to generate the
answer to the question above.