The main part is all in harmonics:

G|-------7------7--|---7----------5----|
D|-7--12---7-------|-5---7----------5--|
A|-----------9-----|-------7-8---------|
E|-----------------|-----------8-------|

I couldn't find natural harmonics that sounded like F (A string, 8th fret) and C (E
string, 8th fret) so you have two options:
- Play the notes as you would regularly (do it one octave higher in this case).
- Play an artificial harmonic, it doesn't sound that great depending on the bass and
equalization, but it's the way I prefer doing it.
(If you don't know how to do an artificial harmonic just look it up on youtube, that's
how I learned it [I'm a former guitar player though], same goes for the natural ones).
Also, maybe there's a way to do it with your fingers, but I find it WAY easier to do 
this with a pick

There's also this other part which is played during the 'chorus'

E|-0-0--0-0-|-3-3--3-3-|

E|-0-0--0-0-2-|-3-3--3-3-|

Repeat as needed

Play this the last time around:

G|----7-----|
D|-12---7---|
A|--------7-|