Okay, I just finished the second workout of week 5, and there is no way I could complete all the reps. Starting on the 3rd set, I needed to do assisted pullups on the last few reps. To me, the program just took an unrealistic jump in intensity. Day 3 of this week looks even more impossible.
I'll continue doing the program using assisted reps when necessary. If I can do twenty at the end of week six, then great! If not, oh well. I'll be disappointed, but it's time for me to get back to my normal workouts.
You're right, it is a big jump. I think I'll have to rewrite that part and try to make it gentler.
Edit: Got any suggestions?
Found this article that helps to improve pullups