  We analyze the prospect for observing the intermediate neutral Higgs boson
($h_2$) in its decay to two lighter Higgs bosons ($h_1$) at the presently
operating hadron colliders in the framework of the CP violating MSSM using the
PYTHIA event generator. We consider the lepton+ 4-jets+ $\met$ channel from
associate $W h_2$ production, with $W h_2 \ra W h_1 h_1 \ra \ell \nu_\ell b
\bar b b\bar b$. We require two, three or four tagged $b$-jets. We explicitly
consider all relevant Standard Model backgrounds, treating $c$-jets separately
from light flavor and gluon jets and allowing for mistagging. We find that it
is very hard to observe this signature at the Tevatron, even with 20 fb$^{-1}$
of data, in the LEP--allowed region of parameter space due to the small signal
efficiency, even though the background is manageable. At the LHC, a priori huge
SM backgrounds can be suppressed by applying judiciously chosen kinematical
selections. After all cuts, we are left with a signal cross section of around
0.5 fb, and a signal to background ratio between 1.2 and 2.9. According to our
analysis this Higgs signal should be viable at the LHC in the vicinity of
present LEP exclusion once 20 to 50 fb$^{-1}$ of data have been accumulated at
$\sqrt{s}=14$ TeV.
