context: We doubt that Lily is a swan. It is improbable that Julius is a frog. It is improbable that Sandra left the milk. There is almost no chance that if either Julius is a frog, or Lily is a swan, then Gertrude is a cat. It is probably the case that if Julius is a frog, or Lily is a swan, then John picked up the apple. We doubt that if Sandra left the milk, and Julius is a frog, then Mary is in the park.
hypothesis: It is probably not the case that either Lily is a swan, or Sandra left the milk.
valid_hypothesis: It is probably not the case that either Lily is a swan, or Sandra left the milk.
invalid_hypothesis: It is highly likely that either Lily is a swan, or Sandra left the milk.
hypothesis_assertion: Either Lily is a swan, or Sandra left the milk.