  Cutting planes are a key ingredient to successfully solve mixed-integer
linear programs. For specific problems, their strength is often theoretically
assessed by showing that they are facet-defining for the corresponding
mixed-integer hull. In this paper we experimentally investigate the dimensions
of faces induced by general-purpose cutting planes generated by a
state-of-the-art solver. Therefore, we relate the dimension of each cutting
plane to its impact in a branch-and-bound algorithm.
