  We study cosmological consequences of the dark spinor model when torsion is
included. Only some components of the torsion are allowed to be non-vanishing
in homogeneous and isotropic cosmology, but there exist freedoms in the choice
of these components which is consistent with the evolution equations. We
exploit this and discuss several cases which can result in interesting
cosmological consequences. Especially, we show that there exist exact
cosmological solutions in which the Universe began its acceleration only
recently and this solution is an attractor. This corresponds to a specific form
of the torsion with a mild fine-tuning which can address the coincidence
problem.
