context: It is highly unlikely that Bernhard is a swan. It is unlikely that John discarded the apple. Chances are slight that Lily is a frog. It is impossible that if either John discarded the apple, or Bernhard is a swan, then Julius is a frog. It is almost certain that if Bernhard is a swan, and John discarded the apple, then Mary moved to the garden. There is a very good chance that if John discarded the apple, or Bernhard is a swan, then Sandra took the football.
hypothesis: It is probably not the case that lily is a frog, or John discarded the apple.
valid_hypothesis: It is probably not the case that lily is a frog, or John discarded the apple.
invalid_hypothesis: It is highly likely that lily is a frog, or John discarded the apple.
hypothesis_assertion: Lily is a frog, or John discarded the apple.