  A precise measurement of the cosmic-ray proton spectrum with the Calorimetric
Electron Telescope (CALET) is presented in the energy interval from 50 GeV to
60 TeV, and the observation of a softening of the spectrum above 10 TeV is
reported. The analysis is based on the data collected during $\sim$6.2 years of
smooth operations aboard the International Space Station and covers a broader
energy range with respect to the previous proton flux measurement by CALET,
with an increase of the available statistics by a factor of $\sim$2.2. Above a
few hundred GeV we confirm our previous observation of a progressive spectral
hardening with a higher significance (more than 20 sigma). In the multi-TeV
region we observe a second spectral feature with a softening around 10 TeV and
a spectral index change from =2.6 to -2.9 consistently, within the errors, with
the shape of the spectrum reported by DAMPE. We apply a simultaneous fit of the
proton differential spectrum which well reproduces the gradual change of the
spectral index encompassing the lower energy power-law regime and the two
spectral features observed at higher energies.
