It is almost certain that Brian is yellow. There is almost no chance that Bernhard is a frog. It is certain that Daniel dropped the milk. It is probable that if either 'Bernhard is a frog' or 'Daniel dropped the milk' but not both then Greg is a swan. It is almost certain that if either 'Daniel dropped the milk' or 'Brian is yellow' but not both then Julius is a lion. There is a very good chance that if 'Daniel dropped the milk and Bernhard is a frog' then John picked up the apple.
It is certain that 'Brian is yellow' or 'Julius is a lion' or both.
It is certain that 'Brian is yellow' or 'Julius is a lion' or both.
It is probably not the case that 'Brian is yellow' or 'Julius 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
  0.95::factA.
  0.02::factB.
  1.0::factC.
  %hop1
  0.7::factX:-xor(factB,factC).
  0.95::factY:-xor(factC,factA).
  0.8::factZ:-and(factC,factB).

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

  query(conclusion).
  
'Brian is yellow' or 'Julius is a lion' or both.