Comment 5 for bug 967902

> If you ungroup all the parts in the SVG file, the export
> succeeds. So the bug must be somewhere related to that.

The bug in cairo is indeed triggered by clipped object(s): in your example file, the 3 paths are inside a clipped group. Ungrouping the group will also release the clip (the clip-path itselfs remains in the <defs> section but is no longer used for clipping).