Take the following as truth: As any 10-year-old knows (and game theorists can now elaborately prove), three-person secrets are particularly troublesome in this regard, because nobody can ever pinpoint which of the other two might have cheated.
Then the following statement: "Three-person secrets, while seen to be troublesome by 10-year-olds, have yet to be proven so by any scientific community. " is true, false, or inconclusive?