There is little chance that Lily is a lion. It is probably not the case that Brian is white. It is probable that Julius is a frog. It is improbable that if either 'Brian is white' or 'Lily is a lion' but not both then Mary went to the hallway. It is certain that if 'Brian is white' or 'Lily is a lion' or both then Sandra grabbed the milk. It is highly likely that if either 'Julius is a frog' or 'Brian is white' but not both then John left the football.
It is certain that either 'Lily is a lion' or 'Sandra grabbed the milk' but not both.
We doubt that either 'Lily is a lion' or 'Sandra grabbed the milk' but not both.
It is certain that either 'Lily is a lion' or 'Sandra grabbed the milk' but not 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
  0.1::factA.
  0.25::factB.
  0.7::factC.
  %hop1
  0.1::factX:-xor(factB,factA).
  1.0::factY:-or(factB,factA).
  0.9::factZ:-xor(factC,factB).

  %hop2
  conclusion:-xor(factA,factY).

  query(conclusion).
  
Either 'Lily is a lion' or 'Sandra grabbed the milk' but not both.