The mechanism of ion-stimulated ${\mathrm{O}}^{+}$ desorption from the oxygenated TiC(100) surface has been investigated, in comparison with the neutralization of ${\mathrm{O}}^{+}$ and ${\mathrm{Ne}}^{+}$ ions during scattering. The ${\mathrm{O}}^{+}$ ion desorbs from the surface due to the potential energy of ${\mathrm{He}}^{+}.$ This process is initiated by two valence holes resulting from Auger decay of ${\mathrm{He}}^{+}$ but due to a long-lived O $2s$ core-hole state with the antibonding character, which is formed by the quasiresonant charge exchange with ${\mathrm{He}}^{+}$ $1s.$ In the ion-scattering experiment, the ${\mathrm{O}}^{+}$ ion is neutralized almost completely whereas ${\mathrm{Ne}}^{+}$ survives neutralization considerably even at energy as small as below 10 eV. This is because the lifetime of the core hole is much longer than that of the valence holes. The ab initio molecular-orbital calculation also reveals that the O $2p$ hole diffuses immediately into the band via the resonant tunneling process. The O $2s$ (or Ne $2p)$ core hole decays with a much longer lifetime via the two-electron Auger process. The core-excited oxygen species, which undergoes the intra-atomic Auger decay during and after breakage of the chemisorptive bond, results in the ${\mathrm{O}}^{+}$ ion.