context: It is highly unlikely that Brian is a swan. It is probably not the case that Lily is green. It is improbable that John went to the garden. It is certain that if either Lily is green, or John went to the garden, then Gertrude is a mouse. It is probably the case that if Lily is green, or John went to the garden, then Mary moved to the office. It is unlikely that if Brian is a swan, or Lily is green, then Fred left the milk.
hypothesis: It is improbable that either John went to the garden, or Fred left the milk.
valid_hypothesis: It is improbable that either John went to the garden, or Fred left the milk.
invalid_hypothesis: There is a better than even chance that either John went to the garden, or Fred left the milk.
hypothesis_assertion: Either John went to the garden, or Fred left the milk.