context: There is almost no chance that Winona is a sheep. It is highly likely that Emily is a wolf. There is little chance that Mary took the milk. It is probably the case that if either 'Winona is a sheep' or 'Emily is a wolf' but not both then John went to the garden. We doubt that if 'Winona is a sheep' or 'Mary took the milk' or both then Jeff dropped the apple. It is highly unlikely that if 'Mary took the milk and Winona is a sheep' then Julius is white.
hypothesis: It is impossible that 'Emily is a wolf and Julius is white'.
valid_hypothesis: It is impossible that 'Emily is a wolf and Julius is white'.
invalid_hypothesis: It is likely that 'Emily is a wolf and Julius is white'.
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
    0.02::factA.
    0.9::factB.
    0.1::factC.
    %hop1
    0.7::factX:-xor(factA,factB).
    0.2::factY:-or(factA,factC).
    0.05::factZ:-and(factC,factA).
  
    %hop2
    conclusion:-and(factB,factZ).
  
    query(conclusion).
    
hypothesis_assertion: 'Emily is a wolf and Julius is white'.