We doubt that John discarded the milk. It is probably the case that Julius is green. It is almost certain that Emily is a mouse. There is a very good chance that if Emily is a mouse, or John discarded the milk, then Lily is a lion. It is highly unlikely that if either Emily is a mouse, or John discarded the milk, then Brian is gray. There is little chance that if either Julius is green, or Emily is a mouse, then Bernhard is a frog.
It is highly unlikely that brian is gray, or Julius is green.
It is likely that brian is gray, or Julius is green.
It is highly unlikely that brian is gray, or Julius is green.
Brian is gray, or Julius is green.