  It is well-known that e$^+$e$^-$ colliders have the power to with certainty
exclude or discover any SUSY model that predicts a Next to lightest SUSY
particle (an NLSP) that has a mass up to slightly below the half the
centre-of-mass energy of the collider. Here, we present an estimation of the
power of present and future hadron colliders to extend the reach of searches
for SUSY, with particular emphasis whether it can be claimed that either
discovery or exclusion is {\it guaranteed} in a region of LSP and NLSP masses -
no set of values of the other SUSY could change the conclusion. A scan over
SUSY parameter space was done, only requiring that the NLSP was a bosino - the
hardest case - with mass not larger than a few TeV. The mass-spectrum,
cross-sections and decay branching ratios found in this region were confronted
with projections of sensitivity at future hadron colliders. In our conclusions
we weigh in the maturity of the analysis the projections are based upon. The
conclusion is that although future hadron colliders have a large
discovery-reach, i.e. potential to discover {\it some} SUSY model, hardly any
models with low-to-medium LSP-NLSP mass-differences can be excluded with
certainty. The models that are expected to be excluded/discovered are, on one
hand, those with mass-differences larger than those allowed by models with
GUT-scale $M_1$-$M_2$ unification, and on the other hand, a tiny region where
the mass-difference is so small that the NLSP decays in the tracking volume of
the detectors. Excluding the latter possibility does not, however, allow to
exclude the possibility of a Wino or Higgsino LSP: at any value of the LSP
mass, we could identify models where the NLSP lifetime would be too short for a
signal to be seen.
