  We prove several new results for seedless condensers in the context of three
related classes of sources: Non-Oblivious Symbol Fixing (NOSF) sources,
one-sided NOSF (oNOSF) sources [AORSV, EUROCRYPT'20], and adversarial
Chor-Goldreich (aCG) source [DMOZ, STOC'23]. We think of these sources as a
sequence of random variables $\mathbf{X}=\mathbf{X}_1,\dots,\mathbf{X}_\ell$ on
$\ell$ symbols where at least $g$ out of these $\ell$ symbols are "good" (i.e.,
have some min-entropy requirement), denoted as a $(g,\ell)$-source, and the
remaining "bad" $\ell-g$ symbols may adversarially depend on these $g$ good
blocks. The difference between each of these sources is realized by
restrictions on the power of the adversary. Prior to our work, the only known
seedless condenser upper or lower bound in these settings is due to [DMOZ,
STOC'23], where they explicitly construct a seedless condenser for a restricted
subset of $(g,\ell)$-aCG sources.
  We show:
  1) oNOSF sources
  a) When $g\leq\ell/2$, we prove that condensing with error 0.99 above rate
$\frac{1}{\lfloor \ell/g \rfloor}$ is impossible. In fact, we show that this is
tight.
  b) For $g> \ell/2$, we show the existence of excellent condensers for uniform
oNOSF sources. In addition, we show the existence of similar condensers for
oNOSF sources with only logarithmic min-entropy.
  2) aCG sources
  a) We observe that uniform aCG sources are equivalent to uniform oNOSF
sources and consequently inherit the same results.
  b) We show that one cannot condense beyond the min-entropy gap of each block
or condense low min-entropy CG sources above rate $1/2$.
  3) NOSF sources
  a) We show that condensing with constant error above rate $\frac{g}{\ell}$ is
impossible for uniform NOSF sources for any $g$ and $\ell$, thus ruling out the
possibility of any non-trivial condensing. This shows a distinction between
NOSF sources and oNOSF sources.
