  We establish a version of the Arnold conjecture, both the degenerate and
non-degenerate case, for target manifolds equipped with Clifford pencils of
symplectic structures and the domains (time-manifolds) equipped with frames of
divergence-free vector fields. This result generalizes the original work on the
hyperkahler Arnold conjecture by Hohloch, Noetzel and Salamon for
three-dimensional time and also the previous work by the authors.
