context: There is little chance that Julius is a lion. It is almost certain that Brian is yellow. Chances are about even that Lily is white. Chances are slight that if Julius is a lion, or Lily is white, then Greg is a rhino. It is highly likely that if either Julius is a lion, or Lily is white, then Bill went to the garden. There is little chance that if either Julius is a lion, or Brian is yellow, then John left the apple.
hypothesis: It is impossible that either John left the apple, or Bill went to the garden.
valid_hypothesis: Chances are about even that either John left the apple, or Bill went to the garden.
invalid_hypothesis: It is impossible that either John left the apple, or Bill went to the garden.
hypothesis_assertion: Either John left the apple, or Bill went to the garden.