Rumor has it that Green Day used an AdrenaLinn – Preset 140 – Tremolo Sequence 11. I'm not so sure that preset reflects the settings that I hear. I came much closer with the PitchFactor, preceded by a distorted Bogner Uberschall model.
There are a few ways to go about it with the PF. Here's one that takes advantage of the strings' natural decay. [ Fm / Fm | A / A | E / E | B / B ] :
GreenDayBoBD
Mix = WET:100
Pitch Mix = A10+B10
Pitch A = ArpA: OFF
Pitch B = ArpB: OFF
Delay A = GrvA: A07
Delay B = GrvB: B07
(encoder) = PEGGIATR / TMP ON (~ 85 BPM)
Depth / Key = ATK: 5-10
Speed / Scale = LN: 1/64
Xnob = FXA: OFF
Ynob = FXB: OFF
