It is certain that Antoine is hungry. It is probably not the case that Greg is a frog. There is a very good chance that Julius is green. We doubt that if either Antoine is hungry, or Greg is a frog, then John picked up the milk. It is likely that if either Julius is green, or Greg is a frog, then Lily is a swan. We doubt that if Greg is a frog, and Antoine is hungry, then Bernhard is a swan.
We doubt that john picked up the milk, or Julius is green.
There is a very good chance that john picked up the milk, or Julius is green.
We doubt that john picked up the milk, or Julius is green.
John picked up the milk, or Julius is green.