Solo tabs
After checking first live videos of Muse playing this song it is confirmed that Matt drop tunes the low 
E MajorE string to C.
low E MajorE drop to C:
E MajorE|-----------------------------------------------------------------|
BB|--8----------------------------8--6--4--3--3/--------------------|
G+G|--10b(12)----------------------8--7--5--3--3/4h5p4h5p4h5p4\(10)--|
D MajorD|-----------------------------------------------------------------|
A augmentedA|-----------------------------------------------------------------|
C majorC|--------0-0-3p0-7-7p3--9b(10)------------------------------------|
E MajorE|-----------------------------------------------------------------|
BB|--8--------------------------------16---15---13---11-------------|
G+G|--10b(12)-----------------2b(3)----18b--17b--15b--13b------------|
D MajorD|-----------------------------------------------------------------|
A augmentedA|----------------5h6p5-3-1----------------------------------------|
C majorC|--------0-0-3p0--------------------------------------------------|
check out the video at www.youtube.com/watch?v=h9pPbavvzpU
if you don't bother droping your low string from E MajorE to C majorC just use a drop tone effect and play the following tab.
Hopefully, you will get a good result closer to the original.
Standard tuning:
E MajorE|-----------------------------------------------------------------|
BB|--8----------------------------8--6--4--3--3/--------------------|
G+G|--10b(12)----------------------8--7--5--3--3/4h5p4h5p4h5p4\(10)--|
D MajorD|----------------5------7b(8)-------------------------------------|
A augmentedA|--------3-3-6p3---10p6-------------------------------------------|
E MajorE|-----------------------------------------------------------------|
E MajorE|--------------------------5b(6)----------------------------------|
BB|--8-------------3h4p3--------------16---15---13---11-------------|
G+G|--10b(12)-------------5-3----------18b--17b--15b--13b------------|
D MajorD|-----------------------------------------------------------------|
A augmentedA|--------3-3-6p3--------------------------------------------------|
E MajorE|-----------------------------------------------------------------|
check out the video at www.youtube.com/watch?v=QDF8lviA27U
Other versions of Dead Inside
Alternative guitar chords and tabs for Dead star by Muse
