context: We believe that Lily is a frog. There is almost no chance that Jason is bored. There is a better than even chance that Mary went to the hallway. It is highly likely that if Jason is bored, or Lily is a frog, then Greg is gray. There is a better than even chance that if either Jason is bored, or Lily is a frog, then Julius is gray. It is improbable that if either Lily is a frog, or Jason is bored, then Fred left the milk.
hypothesis: It is highly unlikely that fred left the milk, and Lily is a frog.
valid_hypothesis: It is highly unlikely that fred left the milk, and Lily is a frog.
invalid_hypothesis: It is highly likely that fred left the milk, and Lily is a frog.
hypothesis_assertion: Fred left the milk, and Lily is a frog.