context: There is little chance that John discarded the apple. We doubt that Bernhard is a lion. There is almost no chance that Brian is a rhino. It is highly unlikely that if 'Brian is a rhino and John discarded the apple' then Daniel got the milk. It is highly likely that if 'John discarded the apple' or 'Bernhard is a lion' or both then Jason is tired. It is impossible that if 'Brian is a rhino' or 'John discarded the apple' or both then Lily is a rhino.
hypothesis: It is impossible that 'John discarded the apple and Daniel got the milk'.
valid_hypothesis: It is impossible that 'John discarded the apple and Daniel got the milk'.
invalid_hypothesis: We believe that 'John discarded the apple 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
    0.1::factA.
    0.2::factB.
    0.02::factC.
    %hop1
    0.05::factX:-and(factC,factA).
    0.9::factY:-or(factA,factB).
    0.0::factZ:-or(factC,factA).
  
    %hop2
    conclusion:-and(factA,factX).
  
    query(conclusion).
    
hypothesis_assertion: 'John discarded the apple and Daniel got the milk'.