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