At the start, S1 and S2 are open, Q1-Q4 are off, the base of Q5 is floating so it's off, there is no base current path through Q5 for Q6 so it's off, and the LED is off. For XOR inputs = 0,0, the output is 0.
Note that if there were any Q5 emitter current, it has a two paths to GND, through Q1...