Well here it is! This song is quite the pain in the ass to figure out because of 
all the electronics but this is my best shot. Enjoy!
If you have a phaser,flanger effect or something like that on your amp it makes 
this sound much better.
Standard tuning
Guitar 1-Ray Toro
Guitar 2-Frank Iero

*=palm mute
~=let ring
b=bend

Intro:

Guitar 1:
(I'm not too sure about the last few notes)
e------------7b~~~~--|
b----9---9~~----9~~~-|
g--66--6-------------|
d--------------------|
a--------------------|
e--------------------|x several times (listen to the song)

Guitar 2:
(comes in with drums)
e-----------------------------------------|
b-----------------------------------------|
g-----------------------------------------|
d--7*-----------------------10*-----------|
a--5*(x16)-7*-------9*------8*(x8)-10*----|
e----------5*(x16)--7*(x16)--------8*(x8)-|x3 or 4 times(again listen to it)

Verse:

Guitar 1:
(not too sure about this part)
e------------|
b----9~~~~~~-|
g--6---------|
d------------|
a------------|
e------------|
Guitar 2:
e-----------------------------------------|
b-----------------------------------------|
g-----------------------------------------|
d--7*-----------------------10*-----------|
a--5*(x16)-7*-------9*------8*(x8)-10*----|
e----------5*(x16)--7*(x16)--------8*(x8)-|

Pre-Chorus:

Guitar 1:
e-----------7---|
b---9-9-9-9-----|
g--6-6-6-6----9-|
d---------------|
a---------------|
e---------------|

Guitar 2:
(he plays this a lot lol)
e-----------------------------------------|
b-----------------------------------------|
g-----------------------------------------|
d--7*-----------------------10*-----------|
a--5*(x16)-7*-------9*------8*(x8)-10*----|
e----------5*(x16)--7*(x16)--------8*(x8)-|

Chorus:

Guitar 1:
e------------7b~~~~--|
b----9---9~~----9~~~-|
g--66--6-------------|
d--------------------|
a--------------------|
e--------------------|

Guitar 2:
(same thing just with out the palm muting)
e-------------------------------------|
b-------------------------------------|
g-------------------------------------|
d--7---------------------10-----------|
a--5(x16)-7-------9------8(x8)-10-----|
e----------5(x16)-7(x16)--------8(x8)-|

Verse:

Guitar 1:
e------------|
b----9~~~~~~-|
g--6---------|
d------------|
a------------|
e------------|
Guitar 2:
e-----------------------------------------|
b-----------------------------------------|
g-----------------------------------------|
d--7*-----------------------10*-----------|
a--5*(x16)-7*-------9*------8*(x8)-10*----|
e----------5*(x16)--7*(x16)--------8*(x8)-|

Bridge:

Guitar 1:
(playing until next part)
e--------|
b----9-9-|
g--66-6--|
d--------|
a--------|
e--------|

Guitar 2:
(let ring throughout)                         
e----------------------|
b----------------------|
g----------------------|
d--7~~~~~~~~~~~~~~~~~~~|
a--5~~~~~~~~~~~~~~~~~~~|
e----------------------|

Solo:
(this is the hardest solo ever)
e-------7------------7---------7-|
b--------------------------------|
g--9b-6b--9--6b-9b-9---6b-9b-9---|
d--------------------------------|
a--------------------------------|
e--------------------------------|x3

Outro:

Guitar 1:
e------------7b~~~~--|
b----9---9~~----9~~~-|
g--66--6-------------|
d--------------------|
a--------------------|
e--------------------|x10
Guitar 2:
e-----------------------------------------|
b-----------------------------------------|
g-----------------------------------------|
d--7*-----------------------10*-----------|
a--5*(x16)-7*-------9*------8*(x8)-10*----|
e----------5*(x16)--7*(x16)--------8*(x8)-|x10

~~Silence~~

(Guitar 1 doesn't play anything)

Guitar 2:
(Well I wonder whats next...)
e-----------------------------------------|
b-----------------------------------------|
g-----------------------------------------|
d--7*-----------------------10*-----------|
a--5*(x16)-7*-------9*------8*(x8)-10*----|
e----------5*(x16)--7*(x16)--------8*(x8)-|x2

...and that's it! I hope this helps. Some parts are probably wrong so feel free to 
make corrections.