context: We believe that Mary went to the office. It is unlikely that Julius is a frog. We believe that John left the apple. Chances are about even that if either Julius is a frog, or John left the apple, then Jeff discarded the milk. It is highly likely that if Julius is a frog, or Mary went to the office, then Lily is white. It is highly likely that if Mary went to the office, and Julius is a frog, then Greg is white.
hypothesis: It is probably the case that jeff discarded the milk, and Mary went to the office.
valid_hypothesis: It is probably not the case that jeff discarded the milk, and Mary went to the office.
invalid_hypothesis: It is probably the case that jeff discarded the milk, and Mary went to the office.
hypothesis_assertion: Jeff discarded the milk, and Mary went to the office.