A state military academy admitted only men. The academy had a reputation that its program was physically punishing. The United States sued the state and the academy, alleging that the admissions policy violated the Equal Protection Clause of the Fourteenth Amendment. The trial court ruled for the academy, but the appellate court reversed. In response, the state created a parallel program for women at another college that was cooperative, rather than combative. The appellate court found that the parallel program provided substantively comparable benefits. The United States appealed to the U.S. Supreme Court. Is the United States likely to prevail