Google, Bing and Yahoo do not have themselves as the top hit for that query either. Zoning in on Bing here and taking that as a recommendation is not entirely fair.
http://www.bing.com/search?q=search+the+web gives google
http://search.yahoo.com/search?p=search+the+web gives google
http://www.google.com/search?q=search+the+web gives yahoo
Everyone here knows it's perfectly possible to manipulate queries to all engines to return top results for their rivals.