context: It is improbable that Julius is a frog. There is a better than even chance that John left the milk. It is probable that Lily is a swan. It is certain that if either Julius is a frog, or Lily is a swan, then Fred went to the kitchen. It is improbable that if Julius is a frog, or John left the milk, then Mary put down the milk. We believe that if either John left the milk, or Julius is a frog, then Brian is yellow.
hypothesis: We believe that lily is a swan, or Fred went to the kitchen.
valid_hypothesis: We believe that lily is a swan, or Fred went to the kitchen.
invalid_hypothesis: It is improbable that lily is a swan, or Fred went to the kitchen.
hypothesis_assertion: Lily is a swan, or Fred went to the kitchen.