Trim pre-existing lines after they intersect with one another

G day all,

New to grasshopper and wanted to know if its possible to trim pre-existing lines so that they don't extend past the point of where they intersect with each other. 

Or another better way of wording it is if an adjacent line passes through two parallel lines, to have it delete off the adjacent line that lays in between those parallels.

The lines in the attached rhino file are generated from making a 3D model 2D. So far I have been manually trimming the intersecting lines off. 

Regards,

Henry