Clipping plane problem on different cards

I’ve a problem with additional clipping planes. In my application I want to use clipping planes for a section view of the model. But there is a problem when I want to render my model in wireframe mode. According to the OpenGL specification, the clipping plane should create new and visible edges for the cut polygons. It works fine on NVidia cards, rendering polygons with glPolygonMode(GL_LINE) all lines are visible. But on ATI cards the newly generated lines are dissappeared. I’ve tried it on several cards and neither of the ATIs displayed those lines. I can’t find out the reason of this strangeness, but this isn’t the first time I’ve had problems with GL_LINE mode on ATI cards.

Yes, and everybody seem to agree on this.

Does this mean that there is no solution?