Bogomolov-Sommese vanishing and liftability for surface pairs in positive characteristic

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