  We investigate the long-time asymptotics for the focusing integrable discrete
nonlinear Schr\"odinger equation. Under generic assumptions on the initial
value, the solution is asymptotically a sum of 1-solitons. We find different
phase shift formulas in different regions. Along rays away from solitons, the
behavior of the solution is decaying oscillation. This is one way of stating
the soliton resolution conjecture. The proof is based on the nonlinear steepest
descent method.
