Chances are slight that Daniel left the milk. There is a very good chance that John went to the kitchen. It is highly unlikely that Julius is a rhino. Chances are about even that if Daniel left the milk, or Julius is a rhino, then Bill is in the kitchen. It is unlikely that if Daniel left the milk, and Julius is a rhino, then Lily is gray. It is certain that if John went to the kitchen, or Daniel left the milk, then Bernhard is a swan.
It is highly unlikely that bill is in the kitchen, and John went to the kitchen.
It is highly unlikely that bill is in the kitchen, and John went to the kitchen.
There is a better than even chance that bill is in the kitchen, and John went to the kitchen.
Bill is in the kitchen, and John went to the kitchen.