  Weak scale supersymmetry (SUSY) remains a compelling extension of the
Standard Model because it stabilizes the quantum corrections to the Higgs and
W, Z boson masses. In natural SUSY models these corrections are, by definition,
never much larger than the corresponding masses. Natural SUSY models all have
an upper limit on the gluino mass, too high to lead to observable signals even
at the high luminosity LHC. However, in models with gaugino mass unification,
the wino is sufficiently light that supersymmetry discovery is possible in
other channels over the entire natural SUSY parameter space with no worse than
3% fine-tuning. Here, we examine the SUSY reach in more general models with and
without gaugino mass unification (specifically, natural generalized mirage
mediation), and show that the high energy LHC (HE-LHC), a pp collider with
\sqrt{s}=33 TeV, will be able to detect the SUSY signal over the entire allowed
mass range. Thus, HE-LHC would either discover or conclusively falsify natural
SUSY with better than 3% fine-tuning using a conservative measure that allows
for correlations among the model parameters.
