context: There is a better than even chance that John left the football. It is probably not the case that Lily is white. It is highly likely that Mary went to the office. It is highly likely that if Lily is white, and John left the football, then Greg is a swan. Chances are slight that if Mary went to the office, or Lily is white, then Bill dropped the milk. It is likely that if Lily is white, or John left the football, then Julius is gray.
hypothesis: It is probable that lily is white, or Bill dropped the milk.
valid_hypothesis: It is probably not the case that lily is white, or Bill dropped the milk.
invalid_hypothesis: It is probable that lily is white, or Bill dropped the milk.
hypothesis_assertion: Lily is white, or Bill dropped the milk.