context: There is little chance that Julius is green. It is highly likely that Mary went to the hallway. It is probably the case that Fred is in the kitchen. Chances are slight that if Mary went to the hallway, and Fred is in the kitchen, then Bernhard is a swan. It is probable that if Mary went to the hallway, and Julius is green, then Sandra left the milk. It is likely that if Fred is in the kitchen, or Mary went to the hallway, then John took the football.
hypothesis: It is probably not the case that either Mary went to the hallway, or John took the football.
valid_hypothesis: It is probably not the case that either Mary went to the hallway, or John took the football.
invalid_hypothesis: We believe that either Mary went to the hallway, or John took the football.
hypothesis_assertion: Either Mary went to the hallway, or John took the football.