context: It is unlikely that Antoine is hungry. It is highly unlikely that John went to the hallway. It is probably not the case that Lily is yellow. It is impossible that if 'Antoine is hungry and John went to the hallway' then Winona is a sheep. Chances are slight that if 'John went to the hallway and Lily is yellow' then Jeff discarded the milk. It is probable that if 'Antoine is hungry' or 'John went to the hallway' or both then Julius is white.
hypothesis: It is almost certain that 'Julius is white and Jeff discarded the milk'.
valid_hypothesis: It is impossible that 'Julius is white and Jeff discarded the milk'.
invalid_hypothesis: It is almost certain that 'Julius is white and Jeff discarded 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
    0.2::factA.
    0.05::factB.
    0.25::factC.
    %hop1
    0.0::factX:-and(factA,factB).
    0.1::factY:-and(factB,factC).
    0.7::factZ:-or(factA,factB).
  
    %hop2
    conclusion:-and(factZ,factY).
  
    query(conclusion).
    
hypothesis_assertion: 'Julius is white and Jeff discarded the milk'.