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A simple method of the vertical muon energy spectrum simulations have beensuggested. These calculations have been carried out in terms of various modelsof hadronic interactions. The most energetic $ \pi^\pm $-mesons and K$^\pm$-mesons produced in hadron interactions contribute mainly in to this energyspectrum of muons due to the very steep energy spectrum of the primaryparticles. So, some constraints on the hadronic interaction models may be setfrom a comparison of calculated results with the cosmic data on the verticalmuon energy spectrum. This comparison showed that the most energetic secondaryparticles production is too high in case of the QGSJET II-04 model and ratherlow in case of the QGSJET II-03 model. These conclusion have been supported bythe LHC data.

Constrains of hadronic interaction models from the cosmic muon observations