two kids are liars, three can only say the truth. julia: " jack is only a liar, if john is telling the truth." jack: "if joey doesn’t lie, then either julia or john do." joey: " jane lies, as does julia or jack." john: "if jack is telling the truth, then julia or joey do as well." jane: "if you round up julia,joey and john, you will have at least one liar." the compulsive liars are