Intro / verse
bass
E|---------------10--------------10--------------10--------------10-|
B|-0-0-5s7-0-0-9---0-0-5s7-0-0-9---0-0-5s7-0-0-9---0-0-5s7-0-0-9----|
G|------------------------------------------------------------------|
D|------------------------------------------------------------------|

guitar
E|-----0-------0-----------------------0-0-0-0-----0-0-----0-0------|
B|-----0-------0-----------------------0-0-0-0----10-10----0-0------|
G|-----9-------9-----------------------9-9-9-9-----9-9----10-10-----|
D|-----9-------9---0---7---0-9b9-7-----9-9-9-9-----9-9-----9-9------|
A|------------------------------------------------------------------|
E|------------------------------------------------------------------|
9b9 = bend 9 up 1/2 step (i.e. equal to 1 fret) and back down again.
sung: "slee - ping..."

bass
E|---------------10--------------10--------------10--------------10-|
B|-0-0-5s7-0-0-9---0-0-5s7-0-0-9---0-0-5s7-0-0-9---0-0-5s7-0-0-9----|
G|------------------------------------------------------------------|
D|------------------------------------------------------------------|

guitar
E|-----0-0-----0-0-----0-0-----0-0-----0-0-----0-0-----0-0-----0-0--|
B|-----0-0-----0-0-----0-0----10-10----0-0-----0-0-----0-0----10-10-|
G|-----9-9----10-10----7-7-----9-9-----9-9----10-10----7-7-----9-9--|
D|-----9-9-----9-9-----7-7-----9-9-----9-9-----9-9-----7-7-----9-9--|
A|------------------------------------------------------------------|
E|------------------------------------------------------------------|
sung: "watch  your    heart           let     it      bleed..."

Chorus - I don't really know how this goes but it sounds like this:
bass
E|---------10101010--------10101010--------10101010--------10101010-|
B|---------9-9-9-9---------9-9-9-9---------9-9-9-9---------9-9-9-9--|
G|-0-0-0-0---------0-0-0-0---------0-0-0-0---------0-0-0-0----------|
D|------------------------------------------------------------------|
10101010 = four tens, not four one-zeros

guitar
E|------------------------------------------------------------------|
B|---------3-3-3-3---------3-3-3-3---------3-3-3-3---------3-3-3-3--|
G|---------4-4-4-4---------3-3-3-3---------4-4-4-4---------3-3-3-3--|
D|---------5-5-5-5---------3-3-3-3---------5-5-5-5---------3-3-3-3--|
A|-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0--|
E|------------------------------------------------------------------|
sung:     "corpse         pose            corpse           pose"

Middle part
bass
E|--------------------------------------------------|
B|--------------------------------------------------|
G|--------------------------------------------------|
D|-1------s13------s8-------8-------4-------4-------|
s13 = slide up to 13; s8 = slide down to 8

guitar (correct version provided by Colin Weeks)
E|--------------------------------------------------|
B|--------------------------------------------------|
G|-----9---7----------------------------------------|
D|--------------------7------9b9--7-----3---5---6---|
A|-8-----------8------------------------------------|
E|-----------------8------8---------4---------------|
9b9 = play 9, bend up a half-step, and then back down to 9

synth (arranged for guitar)
E|-----12--10---------------------------------------|----------------|
B|--------------------10----12b12-10----------------|----------------|
G|-10----------10-----------------------10--12--13--|-14~~~~~~~~~~~~~|
D|-----------------10-----10------------------------|----------------|
A|----------------------------------11--------------|----------------|
E|--------------------------------------------------|----------------|
sung:                             "don't believe it"
12b12 = play 12, bend up 1/2 step, and then bend back to 12
~~~~~ = vibrato