A process for preparing a three-dimensional molded article by means of a layerwise application of material, wherein geometric data for said molded article, a support part having a base surface for receiving the three-dimensional molded article, a solidifiable liquid or free-flowing first material, a solidifiable liquid, free-flowing, pasty or powdery second material and a solvent are provided, wherein said second material in a solidified state has a higher strength than the solidified first material, wherein said solidified first material is soluble in said solvent, a) wherein, for forming a negative form layer, material portions of said flowable first material are applied to the base surface, and/or a solidified layer of material covering it, of said three-dimensional molded article in accordance with the geometric data in such a manner that said negative form layer has at least one cavity at its surface facing away from said base surface, which cavity has a negative form of a layer of material to be prepared of said molded article, b) wherein said negative form layer is solidified, c) wherein, for forming a layer of the molded article, said cavity is filled with the second material in such a manner that the negative form is transferred as a positive form to the layer of the molded article, d) wherein the second material filled into the cavity is solidified, e) wherein regions of the solidified negative form layer and/or of the solidified molded article layer that project over a plane provided at a predetermined distance to the base surface are removed by material ablation by machining, f) wherein steps a) to e) are repeated at least once so as to perform step e) after the application of each individual layer of the first material, g) wherein said negative form layers are contacted with the solvent in such a way that said solidified first material dissolves in the solvent: a) wherein, for forming a negative form layer, material portions of said flowable first material are applied to the base surface, and/or a solidified layer of material covering it, of said three-dimensional molded article in accordance with the geometric data in such a manner that said negative form layer has at least one cavity at its surface facing away from said base surface, which cavity has a negative form of a layer of material to be prepared of said molded article, b) wherein said negative form layer is solidified, c) wherein, for forming a layer of the molded article, said cavity is filled with the second material in such a manner that the negative form is transferred as a positive form to the layer of the molded article, d) wherein the second material filled into the cavity is solidified, e) wherein regions of the solidified negative form layer and/or of the solidified molded article layer that project over a plane provided at a predetermined distance to the base surface are removed by material ablation by machining, f) wherein steps a) to e) are repeated at least once so as to perform step e) after the application of each individual layer of the first material, g) wherein said negative form layers are contacted with the solvent in such a way that said solidified first material dissolves in the solvent: