Coating material composition comprising a) at least one polyhydroxyl group-containing component, b) at least one component having on average at least one isocyanate group and having on average at least one hydrolyzable silane group of the formula -NR-(X-SiR"x(OR')3-x), and/or at least one hydrolyzable silane group of the formula -N(X-SiR"x(OR')3-x)n(X'-SiR"y(OR')3-y)m, where R = hydrogen, alkyl, cycloalkyl, aryl, or aralkyl, it being possible for the carbon chain to be interrupted by nonadjacent oxygen, sulfur, or NRa groups, where Ra = alkyl, cycloalkyl, aryl, or aralkyl, R' = hydrogen, alkyl, or cycloalkyl, it being possible for the carbon chain to be interrupted by nonadjacent oxygen, sulfur, or NRa groups with Ra = alkyl, cycloalkyl, aryl, or aralkyl, preferably R' = ethyl and/or methyl, X, X' = linear and/or branched alkylene or cycloalkylene radical having 1 to 20 carbon atoms, preferably X, X' = alkylene radical having 1 to 4 carbon atoms, R" = alkyl, cycloalkyl, aryl, or aralkyl, it being possible for the carbon chain to be interrupted by nonadjacent oxygen, sulfur, or NRa groups, with Ra = alkyl, cycloalkyl, aryl, or aralkyl, preferably R" = alkyl radical, more particularly having 1 to 6 C atoms, n = 0 to 2, m = 0 to 2, m+n = 2, and x, y = 0 to 2, c) at least one phosphorus and nitrogen-containing catalyst for the crosslinking of silane groups, and d) at least one catalyst for the reaction of the hydroxyl groups with the isocyanate groups, characterized in that i. the catalyst is selected from the group of zinc and bismuth carboxylates, of aluminum, zirconium, titanium and/or boron chelates and/or of inorganic, tin-containing catalysts, and mixtures thereof, and ii. the coating material composition comprises at least one reaction accelerator which is selected from the group of inorganic acids and/or of organic acids and/or of partial esters of the inorganic acids and/or of partial esters of the organic acids. a) at least one polyhydroxyl group-containing component, b) at least one component having on average at least one isocyanate group and having on average at least one hydrolyzable silane group of the formula -NR-(X-SiR"x(OR')3-x), and/or at least one hydrolyzable silane group of the formula -N(X-SiR"x(OR')3-x)n(X'-SiR"y(OR')3-y)m, where R = hydrogen, alkyl, cycloalkyl, aryl, or aralkyl, it being possible for the carbon chain to be interrupted by nonadjacent oxygen, sulfur, or NRa groups, where Ra = alkyl, cycloalkyl, aryl, or aralkyl, R' = hydrogen, alkyl, or cycloalkyl, it being possible for the carbon chain to be interrupted by nonadjacent oxygen, sulfur, or NRa groups with Ra = alkyl, cycloalkyl, aryl, or aralkyl, preferably R' = ethyl and/or methyl, X, X' = linear and/or branched alkylene or cycloalkylene radical having 1 to 20 carbon atoms, preferably X, X' = alkylene radical having 1 to 4 carbon atoms, R" = alkyl, cycloalkyl, aryl, or aralkyl, it being possible for the carbon chain to be interrupted by nonadjacent oxygen, sulfur, or NRa groups, with Ra = alkyl, cycloalkyl, aryl, or aralkyl, preferably R" = alkyl radical, more particularly having 1 to 6 C atoms, n = 0 to 2, m = 0 to 2, m+n = 2, and x, y = 0 to 2, R = hydrogen, alkyl, cycloalkyl, aryl, or aralkyl, it being possible for the carbon chain to be interrupted by nonadjacent oxygen, sulfur, or NRa groups, where Ra = alkyl, cycloalkyl, aryl, or aralkyl, R' = hydrogen, alkyl, or cycloalkyl, it being possible for the carbon chain to be interrupted by nonadjacent oxygen, sulfur, or NRa groups with Ra = alkyl, cycloalkyl, aryl, or aralkyl, preferably R' = ethyl and/or methyl, X, X' = linear and/or branched alkylene or cycloalkylene radical having 1 to 20 carbon atoms, preferably X, X' = alkylene radical having 1 to 4 carbon atoms, R" = alkyl, cycloalkyl, aryl, or aralkyl, it being possible for the carbon chain to be interrupted by nonadjacent oxygen, sulfur, or NRa groups, with Ra = alkyl, cycloalkyl, aryl, or aralkyl, preferably R" = alkyl radical, more particularly having 1 to 6 C atoms, c) at least one phosphorus and nitrogen-containing catalyst for the crosslinking of silane groups, and d) at least one catalyst for the reaction of the hydroxyl groups with the isocyanate groups, i. the catalyst is selected from the group of zinc and bismuth carboxylates, of aluminum, zirconium, titanium and/or boron chelates and/or of inorganic, tin-containing catalysts, and mixtures thereof, and ii. the coating material composition comprises at least one reaction accelerator which is selected from the group of inorganic acids and/or of organic acids and/or of partial esters of the inorganic acids and/or of partial esters of the organic acids.