There is little chance that John went to the kitchen. It is unlikely that Julius is a lion. We doubt that Sandra took the football. It is probably not the case that if 'Sandra took the football' or 'Julius is a lion' or both then Jason is tired. It is probable that if either 'Sandra took the football' or 'Julius is a lion' but not both then Greg is yellow. There is little chance that if either 'Sandra took the football' or 'Julius is a lion' but not both then Brian is gray.
It is probably not the case that either 'John went to the kitchen' or 'Julius is a lion' but not both.
It is probably not the case that either 'John went to the kitchen' or 'Julius is a lion' but not both.
It is likely that either 'John went to the kitchen' or 'Julius is a lion' 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.
  0.2::factB.
  0.2::factC.
  %hop1
  0.25::factX:-or(factC,factB).
  0.7::factY:-xor(factC,factB).
  0.1::factZ:-xor(factC,factB).

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

  query(conclusion).
  
Either 'John went to the kitchen' or 'Julius is a lion' but not both.