It is impossible that Mary left the apple. We doubt that Julius is a frog. Chances are slight that Bernhard is yellow. There is little chance that if 'Julius is a frog' or 'Mary left the apple' or both then Lily is a lion. It is probably the case that if 'Bernhard is yellow and Julius is a frog' then John got the milk. It is highly unlikely that if 'Julius is a frog' or 'Mary left the apple' or both then Brian is a rhino.
It is impossible that 'John got the milk and Lily is a lion'.
It is impossible that 'John got the milk and Lily is a lion'.
It is likely that 'John got the milk and Lily is a lion'.

  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
  0.0::factA.
  0.2::factB.
  0.1::factC.
  %hop1
  0.1::factX:-or(factB,factA).
  0.7::factY:-and(factC,factB).
  0.05::factZ:-or(factB,factA).

  %hop2
  conclusion:-and(factY,factX).

  query(conclusion).
  
'John got the milk and Lily is a lion'.