Nonaqueous coating material composition comprising at least one polyhydroxyl-group-containing compound, at least one polyisocyanate-group-containing compound having free or blocked isocyanate groups and having a cycloaliphatic polyisocyanate parent structure and/or a polyisocyanate parent structure that has free or blocked isocyanate groups and that is derived from one such cycloaliphatic polyisocyanate by trimerization, dimerization, urethane formation, biuret formation, uretdione formation and/or allophanate formation, at least one polyisocyanate-group-containing compound, different from component, having free or blocked isocyanate groups and having an acyclic, aliphatic polyisocyanate parent structure and/or a polyisocyanate parent structure that has free or blocked isocyanate groups and that is derived from one such acyclic aliphatic polyisocyanate by trimerization, dimerization, urethane formation, biuret formation, uretdione formation and/or allophanate formation, and at least one catalyst for the crosslinking of silane groups, where component and/or component comprise at least one structural unit of the formula -NR-(X-SiR"x(OR')3-x), and/or at least one structural unit 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, X, X' = linear and/or branched alkylene or cycloalkylene radical having 1 to 20 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, n = 0 to 2, m = 0 to 2, m+n = 2, and x, y = 0 to 2, with the provisos that (i) component is used in an amount such that the binder fraction of component is between 5% and 45% by weight, based in each case on the sum of the binder fraction of component plus the binder fraction of component, and (ii) the mixture of components plus includes structural units and structural units. at least one polyhydroxyl-group-containing compound, at least one polyisocyanate-group-containing compound having free or blocked isocyanate groups and having a cycloaliphatic polyisocyanate parent structure and/or a polyisocyanate parent structure that has free or blocked isocyanate groups and that is derived from one such cycloaliphatic polyisocyanate by trimerization, dimerization, urethane formation, biuret formation, uretdione formation and/or allophanate formation, at least one polyisocyanate-group-containing compound, different from component, having free or blocked isocyanate groups and having an acyclic, aliphatic polyisocyanate parent structure and/or a polyisocyanate parent structure that has free or blocked isocyanate groups and that is derived from one such acyclic aliphatic polyisocyanate by trimerization, dimerization, urethane formation, biuret formation, uretdione formation and/or allophanate formation, and at least one catalyst for the crosslinking of silane groups, where component and/or component comprise at least one structural unit of the formula -NR-(X-SiR"x(OR')3-x), and/or at least one structural unit 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, X, X' = linear and/or branched alkylene or cycloalkylene radical having 1 to 20 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, n = 0 to 2, m = 0 to 2, m+n = 2, and x, y = 0 to 2, with the provisos that (i) component is used in an amount such that the binder fraction of component is between 5% and 45% by weight, based in each case on the sum of the binder fraction of component plus the binder fraction of component, and (ii) the mixture of components plus includes structural units and structural units. (i) component is used in an amount such that the binder fraction of component is between 5% and 45% by weight, based in each case on the sum of the binder fraction of component plus the binder fraction of component, and (ii) the mixture of components plus includes structural units and structural units.