It is highly unlikely that Lily is yellow. It is impossible that John went to the garden. It is probably not the case that Julius is a lion. Chances are slight that if 'Lily is yellow and Julius is a lion' then Jessica is a cat. Chances are slight that if either 'John went to the garden' or 'Julius is a lion' but not both then Brian is a frog. There is a very good chance that if either 'Lily is yellow' or 'Julius is a lion' but not both then Mary left the football.
It is almost certain that either 'Julius is a lion' or 'Mary left the football' but not both.
It is improbable that either 'Julius is a lion' or 'Mary left the football' but not both.
It is almost certain that either 'Julius is a lion' or 'Mary left the football' 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
  0.05::factA.
  0.0::factB.
  0.25::factC.
  %hop1
  0.1::factX:-and(factA,factC).
  0.1::factY:-xor(factB,factC).
  0.8::factZ:-xor(factA,factC).

  %hop2
  conclusion:-xor(factC,factZ).

  query(conclusion).
  
Either 'Julius is a lion' or 'Mary left the football' but not both.