The vocal parts are in order.

GE GE 

Jerry Cantral's Part:
G (320003@1)                             EInside (022100@1)always tryin to get back inside
G (320003@1)                                     EBut (022100@1)it's so hard to penetrate pig-thick skin


Chris Cornell's Part: 
             F (133211@1)          E (022100@1)              
I'm 'bout as low as I can get
    F (133211@1)                  EI'd (022100@1)leave but I can't forget
F (133211@1)            E (022100@1)G (320003@1)        A (x02220@1)   E (022100@1)
Still I wonder why  yeah  it ain't right
        D (xx0232@1)   A (x02220@1)             G (320003@1)   EMmmm (022100@1)it ain't right oooo   it ain't right
        D (xx0232@1)   AMmmm (x02220@1)it ain't right yeah


Layne Staley's Part:
         F (133211@1)            E'Bout (022100@1)as low as she can get
      F (133211@1)                       EShe'd (022100@1)leave me but she won't forget
F (133211@1)             E (022100@1)G (320003@1)   A (x02220@1)   EAnd (022100@1)she wonders why  she ain't right
    D (xx0232@1)   A (x02220@1)    G (320003@1)   EShe (022100@1)ain't right  ain't right
    D (xx0232@1)   AShe (x02220@1)ain't right


Mark Arm's Part:
F (133211@1)            E (022100@1)           F (133211@1) Now we're as low as we can get
E (022100@1)     F (133211@1)                E (022100@1)G (320003@1) Can't leave and can't forget
   A (x02220@1)   E (022100@1)      D (xx0232@1)   AWe (x02220@1)ain't right We ain't right
G (320003@1) E (022100@1)       D (xx0232@1)   ANot (x02220@1)right  we ain't right

Chris, Layne, Jerry, and Mark all repeat Ain't right

While Chris, Layne, and Mark all sing:
G (320003@1)  E (022100@1)                                  DA    
It's hard to believe somebody tricked you
                                    GE
When you can see you were all behind
                                 DA
It's all up to you so you gamble
                                   GE
Flat on your face and into the Fire (repeat once)