context: It is highly likely that Julius is yellow. We doubt that Greg is a frog. It is unlikely that Daniel took the milk. It is probably not the case that if either 'Daniel took the milk' or 'Greg is a frog' but not both then Jessica is a sheep. It is unlikely that if 'Greg is a frog' or 'Daniel took the milk' or both then Jeff went to the garden. It is highly likely that if 'Daniel took the milk' or 'Greg is a frog' or both then Brian is a rhino.
hypothesis: There is a better than even chance that 'Julius is yellow and Jeff went to the garden'.
valid_hypothesis: It is highly unlikely that 'Julius is yellow and Jeff went to the garden'.
invalid_hypothesis: There is a better than even chance that 'Julius is yellow and Jeff went to the garden'.
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
    0.9::factA.
    0.2::factB.
    0.2::factC.
    %hop1
    0.25::factX:-xor(factC,factB).
    0.2::factY:-or(factB,factC).
    0.9::factZ:-or(factC,factB).
  
    %hop2
    conclusion:-and(factA,factY).
  
    query(conclusion).
    
hypothesis_assertion: 'Julius is yellow and Jeff went to the garden'.