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We evaluate differential distributions for the four-body $p p \to p p K^{+}K^{-}$ reaction at high energies which constitutes an irreducible background tothree-body processes $p p \to p p M$, where $M=\phi$, $f_{2}(1275)$,$f_{0}(1500)$, $f_{2}'(1525)$, $\chi_{c0}$. We consider central diffractivecontribution mediated by Pomeron and Reggeon exchanges as well as completelynew mechanism of emission of kaons from the proton lines. We include absorptioneffects due to proton-proton interaction and kaon-kaon rescattering. We compareour results with measured cross sections for the CERN ISR experiment. We makepredictions for future experiments at RHIC, Tevatron and LHC. Differentialdistributions in invariant two-kaon mass, kaon rapidities and transversemomenta of kaons are presented. Two-dimensional distribution in $(y_{K^+},y_{K^-})$ is particularly interesting. The higher the incident energy, thehigher preference for the same-hemisphere emission of kaons. We find that thekaons from the new mechanism of emission directly from proton lines areproduced rather forward and backward but the corresponding cross section israther small. The processes considered here constitute a sizeable contributionto the total proton-proton cross section as well as to kaon inclusive crosssection.  We consider a measurement of exclusive production of scalar $\chi_{c0}$ mesonin the proton-proton collisions via $\chi_{c0} \to K^{+}K^{-}$ decay. Thecorresponding amplitude for exclusive central diffractive $\chi_{c0}$ mesonproduction is calculated within the $k_{t}$-factorization approach. Theinfluence of kinematical cuts on the signal-to-background ratio is discussed.

$pp \to pp K^{+}K^{-}$ reaction at high energies