It is certain that Mary went to the hallway. It is almost certain that Jessica is a cat. It is impossible that Emily is a wolf. It is probably not the case that if 'Jessica is a cat' or 'Emily is a wolf' or both then John left the football. We doubt that if 'Jessica is a cat' or 'Emily is a wolf' or both then Bernhard is a lion. It is highly likely that if 'Mary went to the hallway' or 'Emily is a wolf' or both then Julius is a rhino.
It is probable that either 'John left the football' or 'Emily is a wolf' but not both.
It is probably not the case that either 'John left the football' or 'Emily is a wolf' but not both.
It is probable that either 'John left the football' or 'Emily is a wolf' 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
  1.0::factA.
  0.95::factB.
  0.0::factC.
  %hop1
  0.25::factX:-or(factB,factC).
  0.2::factY:-or(factB,factC).
  0.9::factZ:-or(factA,factC).

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

  query(conclusion).
  
Either 'John left the football' or 'Emily is a wolf' but not both.