  We show that the Bogomolov-Sommese vanishing theorem holds for a log
canonical projective surface in large characteristic unless the Iitaka
dimension of the round-down of the log canonical divisor is not equal to two.
As an application, we prove that a log resolution of a pair of a normal
projective surface and a reduced divisor in large characteristic lifts to the
ring of Witt vectors when the Iitaka dimension of the log canonical divisor is
less than or equal to zero. Moreover, we give explicit and optimal bounds on
the characteristic unless their Iitaka dimensions are equal to zero.
