J. de Gier and V. Korepin Six - Vertex Model with Domain wall boundary conditions. Variable inhomogeneities (31K, LaTeX with 1 EPS Figure) ABSTRACT. We consider the six-vertex model with domain wall boundary conditions. We choose the inhomogeneities as solutions of the Bethe Ansatz equations. The Bethe Ansatz equations have many solutions, so we can consider a wide variety of inhomogeneities. For certain choices of the inhomogeneities we study arrow correlation functions on the horizontal line going through the centre. In particular we obtain a multiple integral representation for the emptiness formation probability that generalizes the known formul\ae\ for XXZ antiferromagnets.