It is highly likely that Bernhard is yellow. It is certain that Lily is a lion. We believe that Mary is in the hallway. It is highly unlikely that if 'Bernhard is yellow' or 'Mary is in the hallway' or both then Winona is a wolf. It is almost certain that if either 'Lily is a lion' or 'Mary is in the hallway' but not both then Daniel put down the milk. It is improbable that if 'Mary is in the hallway' or 'Lily is a lion' or both then Julius is a frog.
It is unlikely that 'Daniel put down the milk' or 'Lily is a lion' or both.
It is certain that 'Daniel put down the milk' or 'Lily is a lion' or both.
It is unlikely that 'Daniel put down the milk' or 'Lily is a lion' or both.

  and(A,B) :- A,B.
  or(A,B) :- A;B.
  nand(A,B) :- not(and(A,B)).
  nor(A,B) :- not(or(A,B)).
  xor(A,B) :- or(A,B), nand(A,B).

  %hop0
  0.9::factA.
  1.0::factB.
  0.75::factC.
  %hop1
  0.05::factX:-or(factA,factC).
  0.95::factY:-xor(factB,factC).
  0.1::factZ:-or(factC,factB).

  %hop2
  conclusion:-or(factY,factB).

  query(conclusion).
  
'Daniel put down the milk' or 'Lily is a lion' or both.