I'm guessing it pretty much speaks for itself at that stage of the competition. I think I'm right here:
- the 4 with the 2 lives left fight each other in 2 fights, leaving 2 with 2 lives and 2 with 1
- the 4 with only one life fight each other in 2 fights, leaving 2 with one life and 2 out
- the 4 with 1 life left fight each other in 2 fights, leaving 2 with 1 life and 2 out.
This leaves 4 robots, 2 with 2 lives and 2 with 1.
- the 2 with 2 lives fight each other, leaving 1 with 2 lives and one with 1.
- the 2 with 1 life fight each other, leaving 1 with 1 and 1 out.
- the 2 with 1 life fight each other, leaving 1 with 1 and 1 out.
- the final is between the one remaining one-lifer and the 2-lifer.
Of course, this works much better in practice than written down

But I think I'm right, if you can follow it.