The 1922 NCAA football season had a number of unbeaten and untied teams, and no clear-cut champion, with the "Official NCAA Division I Football Records Book" listing California, Cornell, Iowa, Princeton, and Vanderbilt as national champions. California, Cornell, and Princeton were all picked by multiple selectors.
Iowa and Vanderbilt were only picked by one selector
By elimination, they could have only been picked by one selector. I think the system had difficulty because the statement requires an inference