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A spokesman for the C.I.F. said the organization does not comment on accusations or complaints involving member schools.

Last year, Brosnan said, coaches and parents from opposing schools lodged 14 complaints against him and his program with the California Interscholastic Federation, known as the C.I.F., which is the state’s governing body for high school sports.

It did not have on hand what every other regional combatant command has: its own force able to respond rapidly to emergencies — a Commanders’ In-Extremis Force, or C.I.F.

To respond to the Benghazi attack, the Africa Command had to borrow the C.I.F. that belongs to the European Command, because its own force is still in training.

Aware that their resignations could help the anti-nuclear cause, they planned their move with another C.I.F. member, James Burch, who is also president of Project Survival, a citizens' group currently urging Californians to cast antinuclear votes in June.