 Complete the following phrase:  In the Polish capital, the AK formations initially took over considerable portions of the city, but from 4 August they had to limit their efforts to defense and the territory under Polish control kept shrinking. The Warsaw AK district had 50,000 members, of whom perhaps 10 had firearms. They faced a reinforced German special corps of 22,000 largely SS troops and various regular army and auxiliary units, up to 50,000 soldiers total. The Polish command had planned to establish a provisional Polish administration to greet the arriving Soviets but came nowhere close to meeting this goal. The Germans and their allies engaged in the mass slaughter of the civilian population, including between 40,000 and 50,000 