The term 'Trojan Rival' refers to two crossword solutions: BRUIN (5 letters) and DUREX (5 letters). The term is used to refer to the rivalry between the University of Southern California's Trojans and the University of California, Los Angeles' Bruins. The term Durex is a play on the name of the Trojan mascot, which is the Trojan Horse. Both terms are used to refer to the intense rivalry between the two universities.