Source : Webster's Revised Unabridged Dictionary (1913)

Impenitence \Im*pen"i*tence\, n. [L. impenitentia: cf. F.
   imp['e]nitence.]
   The condition of being impenitent; failure or refusal to
   repent; hardness of heart.

         He will advance from one degree of wickedness and
         impenitence to another.                  --Rogers.

Source : WordNet®

impenitence
     n : the trait of refusing to repent [syn: {impenitency}]