Ok, Counterparts just released a guitar demonstration on youtube of this song and I 
haven't seen tabs for it yet so I'll try and tab out what I think sounds right.
I have gone by my ear and by watching the video. I tabbed what Jesse plays mostly(the 
one in the top right), he is mostly the lead and I might do the rhythm part later. Enjoy!

Here's the link to the Video:
http://www.youtube.com/watch?v=vO–KQW4L5CY&list=UUskpqe75vNvfeeFeIKD2EaQ

Tuning: Drop C (C–G–C–F–A–D) Lowest to Highest String
* = Palm Mute
b = bend
p = Pull off
h = Hammer on
~ = vibrato
x = Dead note
t = tremolo pick
/ = slide
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Repeat beginning:
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High Lead at 1:40
It is kind of like a tremolo sweep picking up and down on the strings.
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