  In this article the role of the supersaturation density equation of state
(EOS) is explored in simulations of failed core-collapse supernova explosions.
Therefore the nuclear EOS is extended via a one-parameter excluded volume
description for baryons, taking into account their finite and increasing volume
with increasing density in excess of saturation density. Parameters are
selected such that the resulting supernova EOS represent extreme cases, with
high pressure variations at supersaturation density which feature extreme stiff
and soft EOS variants of the reference case, i.e. without excluded volume
corrections. Unlike in the interior of neutron stars with central densities in
excess of several times saturation density, central densities of core-collapse
supernovae reach only slightly above saturation density. Hence, the impact of
the supersaturation density EOS on the supernova dynamics as well as the
neutrino signal is found to be negligible. It is mainly determined from the
low- and intermediate-density domain, which is left unmodified within this
generalized excluded volume approach.
