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It has been shown that muon flux intensities calculated in terms of the EPOSLHC and EPOS 1.99 models at the energy of 10^4 GeV exceed the data of theclassical experiments L3+Cosmic, MACRO and LVD on the spectra of atmosphericmuons by a factor of 1.9 and below these data at the same energy by a factor of1.8 in case of the QGSJET II-03 model. It has been concluded that these testedmodels overestimate (underestimate in case of QGSJET II-03 model) theproduction of secondary particles with the highest energies in interactions ofhadrons by a factor of ~1.5. The LHCf and TOTEM accelerator experiments showalso this type of disagreements with these model predictions at highestenergies of secondary particles.

Constraints on the energy spectra of charged particles predicted in some model interactions of hadrons with help of the atmospheric muon flux