context: It is impossible that Lily is gray. We believe that Daniel took the football. It is unlikely that Mary picked up the milk.
hypothesis: It is highly unlikely that either 'Daniel took the football' or 'Mary picked up the milk' but not both.
valid_hypothesis: It is probably the case that either 'Daniel took the football' or 'Mary picked up the milk' but not both.
invalid_hypothesis: It is highly unlikely that either 'Daniel took the football' or 'Mary picked up the milk' but not both.
problog: 
    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.
    0.75::factB.
    0.2::factC.
    
  
    %hop2
    conclusion:-xor(factB,factC).
  
    query(conclusion).
    
hypothesis_assertion: Either 'Daniel took the football' or 'Mary picked up the milk' but not both.