context: It is highly likely that Lily is a frog. It is certain that John left the milk. It is highly likely that Brian is white. It is impossible that if John left the milk, or Lily is a frog, then Julie is in the bedroom. It is improbable that if either John left the milk, or Brian is white, then Julius is gray. It is probably not the case that if Brian is white, and John left the milk, then Mary moved to the garden.
hypothesis: We believe that julius is gray, and John left the milk.
valid_hypothesis: It is impossible that julius is gray, and John left the milk.
invalid_hypothesis: We believe that julius is gray, and John left the milk.
hypothesis_assertion: Julius is gray, and John left the milk.