  It has been shown that muon flux intensities calculated in terms of the EPOS
LHC and EPOS 1.99 models at the energy of 10^4 GeV exceed the data of the
classical experiments L3+Cosmic, MACRO and LVD on the spectra of atmospheric
muons by a factor of 1.9 and below these data at the same energy by a factor of
1.8 in case of the QGSJET II-03 model. It has been concluded that these tested
models overestimate (underestimate in case of QGSJET II-03 model) the
production of secondary particles with the highest energies in interactions of
hadrons by a factor of ~1.5. The LHCf and TOTEM accelerator experiments show
also this type of disagreements with these model predictions at highest
energies of secondary particles.
