  We show that a system described by an equation of state which contains a high
number of degrees of freedom (resonances) can create a considerable amount of
superfluid (condensed) pions through the decay of short-lived resonances, if
baryon number and entropy are large and the dense matter decouples from
chemical equilibrium earlier than from thermal equilibrium. The system cools
down faster in the presence of a condensate, an effect that may partially
compensate the enhancement of the lifetime expected in the case of
quark-gluon-plasma formation.
