context: We doubt that Lily is a lion. It is improbable that Bernhard is yellow. It is highly likely that Brian is a rhino. There is almost no chance that if 'Bernhard is yellow and Brian is a rhino' then John went to the office. It is unlikely that if 'Lily is a lion and Bernhard is yellow' then Greg is yellow. It is probably not the case that if 'Bernhard is yellow and Lily is a lion' then Mary picked up the milk.
hypothesis: It is almost certain that 'Bernhard is yellow' or 'Lily is a lion' or both.
valid_hypothesis: It is probably not the case that 'Bernhard is yellow' or 'Lily is a lion' or both.
invalid_hypothesis: It is almost certain that 'Bernhard is yellow' or 'Lily is a lion' or 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
    0.2::factA.
    0.1::factB.
    0.9::factC.
    %hop1
    0.02::factX:-and(factB,factC).
    0.2::factY:-and(factA,factB).
    0.25::factZ:-and(factB,factA).
  
    %hop2
    conclusion:-or(factB,factA).
  
    query(conclusion).
    
hypothesis_assertion: 'Bernhard is yellow' or 'Lily is a lion' or both.