context: It is probable that Mary dropped the milk. It is probably not the case that Bernhard is a lion. It is unlikely that John went to the hallway. There is a very good chance that if Mary dropped the milk, and John went to the hallway, then Lily is white. There is almost no chance that if either Bernhard is a lion, or John went to the hallway, then Brian is a frog. It is probably the case that if Mary dropped the milk, or Bernhard is a lion, then Greg is gray.
hypothesis: It is probably not the case that either Bernhard is a lion, or Lily is white.
valid_hypothesis: It is probably not the case that either Bernhard is a lion, or Lily is white.
invalid_hypothesis: It is probable that either Bernhard is a lion, or Lily is white.
hypothesis_assertion: Either Bernhard is a lion, or Lily is white.