context: It is probable that Julius is green. There is almost no chance that Bernhard is gray. It is probable that John discarded the milk. It is unlikely that if John discarded the milk, or Bernhard is gray, then Emily is a wolf. It is impossible that if either Julius is green, or Bernhard is gray, then Sandra got the football. It is certain that if Bernhard is gray, or Julius is green, then Lily is a frog.
hypothesis: It is probably the case that either Bernhard is gray, or Lily is a frog.
valid_hypothesis: It is probably the case that either Bernhard is gray, or Lily is a frog.
invalid_hypothesis: It is improbable that either Bernhard is gray, or Lily is a frog.
hypothesis_assertion: Either Bernhard is gray, or Lily is a frog.