1) Indelible 2) Inexpungeable 3) Inexpungible 4) Inexterminable 5) Inextirpable 6) Lasting 7) Like some stains 8) Not eradicable 9) Permanent 10) Unerasable 
• (a.) Incapable of being /radicated or rooted out.
In`e·rad'i·ca·ble adjective Incapable of being eradicated or rooted out. « The bad seed thus sown was ineradicable .» Ld. Lytton. 
[adj] - not able to be destroyed or rooted out
adjective not able to be destroyed or rooted out; `ineradicable superstitions`
not eradicable; not capable of being eradicated, rooted out, or completely removed.