  Recent clarifications of naturalness in supersymmetry robustly require the
presence of four light higgsinos with mass ~100-300 GeV while gluinos and
(top)-squarks may lie in the multi-TeV range, possibly out of LHC reach. We
project the high luminosity (300-3000 fb^{-1}) reach of LHC14 via gluino
cascade decays and via same-sign diboson production. We compare these to the
reach for neutralino pair production \tz_1\tz_2 followed by
\tz_2\to\tz_1\ell^+\ell^- decay to soft dileptons which recoil against a hard
jet. It appears that 3000 fb^{-1} is just about sufficient integrated
luminosity to probe naturalness with up to 3\% fine-tuning at the 5-sigma
level, thus either discovering natural supersymmetry or else ruling it out.
