context: There is little chance that Antoine is hungry. It is highly likely that Julius is gray. There is almost no chance that Brian is a frog. It is improbable that if either 'Brian is a frog' or 'Antoine is hungry' but not both then John moved to the garden. It is improbable that if either 'Antoine is hungry' or 'Brian is a frog' but not both then Winona is a sheep. There is almost no chance that if 'Brian is a frog' or 'Julius is gray' or both then Mary left the football.
hypothesis: There is a better than even chance that 'Antoine is hungry and Brian is a frog'.
valid_hypothesis: It is impossible that 'Antoine is hungry and Brian is a frog'.
invalid_hypothesis: There is a better than even chance that 'Antoine is hungry and Brian is a frog'.
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.
    0.9::factB.
    0.02::factC.
    %hop1
    0.1::factX:-xor(factC,factA).
    0.1::factY:-xor(factA,factC).
    0.02::factZ:-or(factC,factB).
  
    %hop2
    conclusion:-and(factA,factC).
  
    query(conclusion).
    
hypothesis_assertion: 'Antoine is hungry and Brian is a frog'.