Compound of the formula in which R 1 represents a group of the formula where * is the point of attachment to the oxopyridine ring, R 6 represents bromine, chlorine, fluorine, methyl, difluoromethyl, trifluoromethyl, methoxy, difluoromethoxy or trifluoromethoxy, R 7 represents bromine, chlorine, fluorine, cyano, nitro, hydroxy, methyl, difluoromethyl, trifluoromethyl, methoxy, ethoxy, difluoromethoxy, trifluoromethoxy, ethynyl, 3,3,3-trifluoroprop-1-yn-1-yl or cyclopropyl, R 8 represents hydrogen, chlorine or fluorine, R 2 represents hydrogen, bromine, chlorine, fluorine, cyano, C 1 -C 3 -alkyl, difluoromethyl, trifluoromethyl, 1,1-difluoroethyl, 2,2-difluoroethyl, 2,2,2-trifluoroethyl, C 1 -C 3 -alkoxy, difluoromethoxy, trifluoromethoxy, 1,1-difluoroethoxy, 2,2-difluoroethoxy, 2,2,2-trifluoroethoxy, hydroxycarbonyl, methylcarbonyl or cyclopropyl, R 3 represents hydrogen, C 1 -C 5 -alkyl, C 1 -C 4 -alkoxy, difluoromethyl, trifluoromethyl, 1,1-difluoroethyl, 3,3,3-trifluoro-2-hydroxyprop-1-yl, 3,3,3-trifluoro-2-methoxyprop-1-yl, 3,3,3-trifluoro-2-ethoxyprop-1-yl, prop-2-yn-1-yl, cyclopropyloxy or cyclobutyloxy, where alkyl may be substituted by a substituent selected from the group consisting of fluorine, cyano, hydroxy, difluoromethyl, trifluoromethyl, methoxy, ethoxy, difluoromethoxy, trifluoromethoxy, C 3 -C 6 -cycloalkyl, 4- to 6-membered oxoheterocyclyl, 1,4-dioxanyl, oxazolyl, phenyl and pyridyl, where cycloalkyl may be substituted by 1 to 2 substituents independently of one another selected from the group consisting of fluorine, hydroxy, methyl, ethyl, methoxy, ethoxy, difluoromethyl, trifluoromethyl, difluoromethoxy and trifluoromethoxy, R 4 represents hydrogen, R 5 represents a group of the formula where # is the point of attachment to the nitrogen atom, R 9 represents hydroxycarbonyl, aminocarbonyl, C 1 -C 3 -alkoxycarbonyl or C1-C3-alkylaminocarbonyl, where alkylaminocarbonyl may be substituted by a substituent seleted from the group consisting of hydroxy, trifluoromethyl, methoxy and trifluoromethoxy R 10 represents hydrogen, chlorine, fluorine or methyl, or one of the salts thereof, solvates thereof or solvates of the salts thereof. R 1 represents a group of the formula where * is the point of attachment to the oxopyridine ring, R 6 represents bromine, chlorine, fluorine, methyl, difluoromethyl, trifluoromethyl, methoxy, difluoromethoxy or trifluoromethoxy, R 7 represents bromine, chlorine, fluorine, cyano, nitro, hydroxy, methyl, difluoromethyl, trifluoromethyl, methoxy, ethoxy, difluoromethoxy, trifluoromethoxy, ethynyl, 3,3,3-trifluoroprop-1-yn-1-yl or cyclopropyl, R 8 represents hydrogen, chlorine or fluorine, R 6 represents bromine, chlorine, fluorine, methyl, difluoromethyl, trifluoromethyl, methoxy, difluoromethoxy or trifluoromethoxy, R 7 represents bromine, chlorine, fluorine, cyano, nitro, hydroxy, methyl, difluoromethyl, trifluoromethyl, methoxy, ethoxy, difluoromethoxy, trifluoromethoxy, ethynyl, 3,3,3-trifluoroprop-1-yn-1-yl or cyclopropyl, R 8 represents hydrogen, chlorine or fluorine, R 2 represents hydrogen, bromine, chlorine, fluorine, cyano, C 1 -C 3 -alkyl, difluoromethyl, trifluoromethyl, 1,1-difluoroethyl, 2,2-difluoroethyl, 2,2,2-trifluoroethyl, C 1 -C 3 -alkoxy, difluoromethoxy, trifluoromethoxy, 1,1-difluoroethoxy, 2,2-difluoroethoxy, 2,2,2-trifluoroethoxy, hydroxycarbonyl, methylcarbonyl or cyclopropyl, R 3 represents hydrogen, C 1 -C 5 -alkyl, C 1 -C 4 -alkoxy, difluoromethyl, trifluoromethyl, 1,1-difluoroethyl, 3,3,3-trifluoro-2-hydroxyprop-1-yl, 3,3,3-trifluoro-2-methoxyprop-1-yl, 3,3,3-trifluoro-2-ethoxyprop-1-yl, prop-2-yn-1-yl, cyclopropyloxy or cyclobutyloxy, where alkyl may be substituted by a substituent selected from the group consisting of fluorine, cyano, hydroxy, difluoromethyl, trifluoromethyl, methoxy, ethoxy, difluoromethoxy, trifluoromethoxy, C 3 -C 6 -cycloalkyl, 4- to 6-membered oxoheterocyclyl, 1,4-dioxanyl, oxazolyl, phenyl and pyridyl, where cycloalkyl may be substituted by 1 to 2 substituents independently of one another selected from the group consisting of fluorine, hydroxy, methyl, ethyl, methoxy, ethoxy, difluoromethyl, trifluoromethyl, difluoromethoxy and trifluoromethoxy, R 4 represents hydrogen, R 5 represents a group of the formula where # is the point of attachment to the nitrogen atom, R 9 represents hydroxycarbonyl, aminocarbonyl, C 1 -C 3 -alkoxycarbonyl or C1-C3-alkylaminocarbonyl, where alkylaminocarbonyl may be substituted by a substituent seleted from the group consisting of hydroxy, trifluoromethyl, methoxy and trifluoromethoxy R 10 represents hydrogen, chlorine, fluorine or methyl, R 9 represents hydroxycarbonyl, aminocarbonyl, C 1 -C 3 -alkoxycarbonyl or C1-C3-alkylaminocarbonyl, where alkylaminocarbonyl may be substituted by a substituent seleted from the group consisting of hydroxy, trifluoromethyl, methoxy and trifluoromethoxy R 10 represents hydrogen, chlorine, fluorine or methyl,