Smith finishing first means Peterson finished worse than 6 people, so they must be 7th. That puts Mailer 5th. Since Mailer is better than Thomas, Thomas is 6th. That leaves 2nd, 3rd, and 4th. Since there is one space between Otero and Larson, we know they have to be 2nd and 4th in some order. That puts Nadel in 3rd. Since Larson finished better than Nadel, Larson is 2nd which leaves 4th for Otero.