context: There is a better than even chance that Julius is a lion. Chances are slight that John put down the milk. It is highly likely that Greg is yellow. It is probably the case that if Greg is yellow, or John put down the milk, then Mary went to the kitchen. There is almost no chance that if either Greg is yellow, or Julius is a lion, then Bernhard is a lion. It is highly likely that if Julius is a lion, or John put down the milk, then Lily is a frog.
hypothesis: It is impossible that either Mary went to the kitchen, or Lily is a frog.
valid_hypothesis: Chances are about even that either Mary went to the kitchen, or Lily is a frog.
invalid_hypothesis: It is impossible that either Mary went to the kitchen, or Lily is a frog.
hypothesis_assertion: Either Mary went to the kitchen, or Lily is a frog.