04/21/2004 at 12:00 AM EDT
John and Patsy Ramsey may have told Barbara Walters and Katie Couric that they are all too happy to take a lie-detector test to prove their innocence in the death of their 6-year-old daughter JonBenet in 1996, but it doesn't look they'll be hooked up to a polygraph anytime soon. Boulder, Colo. Police Chief Mark Beckner, who wanted to take the Ramsey's up on their offer, is saying that the Ramseys' legal reps have laid out "additional conditions" that have delayed the process. Their lawyer, L. Lin Wood, denied Beckner's claim but said (in a letter to Beckner), "I do not think it is fair for you to demand that the examination" be conducted by the FBI. Beckner said that he would meet Wood's demands that an independent agency conduct the test, that it be done in Atlanta (the current home of the Ramseys), and that the results not be made public.