This means applying the ATILA progression, raising an element with a condition other than a simple loss.
It could be two losses. It could be 3 or more losses.
It could be rising after a lost cycle.
As long as you don't raise after every single lost spin, it's a delayed ATILA.
For instance, if you were to use the ATILA on two columns/dozens, you would raise your betting line:
1 1
If you miss a hit in a full cycle (3 spins for dozens):
2 1
Then shall you miss another cycle:
2 2
And so on. As long as you don't raise every spin, you are using the delayed version of the ATILA progression.