context: It is highly unlikely that Sandra left the milk. We believe that Greg is a frog. It is probably the case that Daniel got the milk. We believe that if either 'Daniel got the milk' or 'Sandra left the milk' but not both then Julius is a rhino. It is probably not the case that if either 'Greg is a frog' or 'Daniel got the milk' but not both then Mary dropped the apple. It is impossible that if 'Daniel got the milk and Greg is a frog' then Bernhard is green.
hypothesis: Chances are about even that 'Sandra left the milk and Daniel got the milk'.
valid_hypothesis: It is highly unlikely that 'Sandra left the milk and Daniel got the milk'.
invalid_hypothesis: Chances are about even that 'Sandra left the milk and Daniel got the milk'.
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
    0.05::factA.
    0.75::factB.
    0.7::factC.
    %hop1
    0.75::factX:-xor(factC,factA).
    0.25::factY:-xor(factB,factC).
    0.0::factZ:-and(factC,factB).
  
    %hop2
    conclusion:-and(factA,factC).
  
    query(conclusion).
    
hypothesis_assertion: 'Sandra left the milk and Daniel got the milk'.