There are many different phenomenological models describing the cosmological dark energy and accelerating Universe by choosing adjustable functions . In this paper we consider a specific model of scalar tachyon field which is derived from the NSR string field theory and study its cosmological applications . We find that in the effective field theory approximation the equation of state parameter w < -1 , i.e . one has a phantom Universe . It is shown that due to nonlocal effects there is no quantum instability that the usual phantom models suffer from . Moreover due to a flip effect of the potential the Universe does not enter to a future singularity .