context: We believe that John left the milk. It is certain that Lily is white. It is probably not the case that Bernhard is gray. It is unlikely that if Bernhard is gray, or Lily is white, then Julius is a rhino. It is probably not the case that if either Lily is white, or Bernhard is gray, then Greg is white. We doubt that if either Bernhard is gray, or John left the milk, then Mary went to the kitchen.
hypothesis: It is probably not the case that either Mary went to the kitchen, or Bernhard is gray.
valid_hypothesis: It is probably not the case that either Mary went to the kitchen, or Bernhard is gray.
invalid_hypothesis: It is certain that either Mary went to the kitchen, or Bernhard is gray.
hypothesis_assertion: Either Mary went to the kitchen, or Bernhard is gray.