Artist: Sleep
Song: the Druid
Album: Sleep's Holy Mountain
Tuning: Open C
Tempo: Moderate
Distortion: Heavy~Fuzzy

legend:
pm= Palm Muting
v= Vibrato
b= Bend


Riff 1:
1|-------------------------------------------------------------------------|
2|-------------------------------------------------------------------------|
3|-------------------------------------------5--3--------------------------|
4|----7--5--7-----7--7--5--5--7-----7--5--7--5--3-----7--5--7-----7--7--5--|
5|----5--3--5-----5--5--3--3--5-----5--3--5-----------5--3--5-----5--5--3--|
6|-00----------00----------------00----------------00----------00----------|
   pm       v  pm             v  pm             v  pm       v  pm

1|------------------------|
2|------------------------|
3|------------------------|
4|--5------7--5--7--------|
5|--3------5--3--5--5--7--|
6|-----00-----------5--7--|
    v  pm              v

Riff 2:
1|------------------|
2|------------------|
3|------------------|
4|-----5--7----(7)--|
5|--7--3--5----(5)--|
6|--7---------------|
            b   v

Quite frankly, I don't have a clue what he did on the solo. Just make something up. 
With enough distortion nobody will be able to tell the difference anyway.