context: There is almost no chance that John took the apple. Chances are slight that Lily is a frog. We believe that Sandra left the football. It is probably not the case that if Sandra left the football, or Lily is a frog, then Mary went to the office. There is almost no chance that if either John took the apple, or Lily is a frog, then Greg is yellow. It is probably the case that if John took the apple, and Lily is a frog, then Brian is green.
hypothesis: Chances are slight that lily is a frog, or John took the apple.
valid_hypothesis: Chances are slight that lily is a frog, or John took the apple.
invalid_hypothesis: There is a very good chance that lily is a frog, or John took the apple.
hypothesis_assertion: Lily is a frog, or John took the apple.