context: It is highly likely that Julius is yellow. There is a better than even chance that Jason is hungry. There is little chance that John picked up the apple. It is probably the case that if either John picked up the apple, or Jason is hungry, then Bernhard is a lion. We believe that if either Jason is hungry, or John picked up the apple, then Jeff went to the kitchen. We doubt that if John picked up the apple, or Julius is yellow, then Mary moved to the office.
hypothesis: There is almost no chance that jason is hungry, and Jeff went to the kitchen.
valid_hypothesis: Chances are about even that jason is hungry, and Jeff went to the kitchen.
invalid_hypothesis: There is almost no chance that jason is hungry, and Jeff went to the kitchen.
hypothesis_assertion: Jason is hungry, and Jeff went to the kitchen.