  Recently the atmospheric muon spectra at high energies were reconstructed for
two ranges of zenith angles, basing on the events collected with the IceCube
detector. These measurements reach high energies at which the contribution to
atmospheric muon fluxes from decays of short-lived hadrons is expected. Latest
IceCube measurements of the high-energy atmospheric muon spectrum indicate the
presence of prompt muon component at energies above 500 TeV. In this work, the
atmospheric conventional muon flux in the energy range 10 GeV - 10 PeV is
calculated using a set of hadronic models in combination with known
parameterizations of the cosmic ray spectrum by Zatsepin $\&$ Sokolskaya and by
Hillas $\&$ Gaisser. The calculation of the prompt muons with use of the
quark-gluon string model (QGSM) reproduces the muon data of the IceCube
experiment. Nevertheless, an additional contribution to the prompt muon
component is required to describe the IceCube muon spectra in case if a charm
production model predicts the appreciably lower prompt lepton flux as compared
with QGSM. This addition, apparently originating from rare decay modes of the
short-lived unflavored mesons $\eta, \eta^\prime, \rho, \omega, \phi$, might
ensure the competing contribution to the high-energy atmospheric muon flux.
