There is little chance that Lily is a rhino. It is probably the case that John went to the kitchen. It is almost certain that Brian is a lion. It is highly likely that if either Lily is a rhino, or John went to the kitchen, then Greg is white. There is a very good chance that if Lily is a rhino, or John went to the kitchen, then Bernhard is a swan. There is a very good chance that if either Lily is a rhino, or Brian is a lion, then Gertrude is a wolf.
We doubt that either Greg is white, or John went to the kitchen.
We doubt that either Greg is white, or John went to the kitchen.
It is likely that either Greg is white, or John went to the kitchen.
Either Greg is white, or John went to the kitchen.