I've had another look at this and think thus

Red system is a 4:1.

The black system is a 3:1 as the both blocks (2 and 3) on the boom are (in effect) moving in relation to the back beam.

As you pull the mainsheet in, the first block on the boom(2) is also moving down, as is the big block inside the boom(3), so the black system is a 3:1, making the total system a 12:1.

I cannot see how it can be a 9:1 as the internal cascade is 4:1 and so any multiplier must result in an even number unless there is just a "routing" block, which there are none as all the "big/black" blocks are moving except the back beam block.