context: It is likely that Jeff discarded the apple. There is little chance that Greg is gray. There is almost no chance that Bernhard is gray. It is probably the case that if either Jeff discarded the apple, or Greg is gray, then Lily is white. It is probably the case that if Bernhard is gray, and Jeff discarded the apple, then Sandra left the milk. There is a very good chance that if Greg is gray, or Jeff discarded the apple, then Mary went to the office.
hypothesis: There is a better than even chance that mary went to the office, or Sandra left the milk.
valid_hypothesis: There is a better than even chance that mary went to the office, or Sandra left the milk.
invalid_hypothesis: It is highly unlikely that mary went to the office, or Sandra left the milk.
hypothesis_assertion: Mary went to the office, or Sandra left the milk.