I performed an Export to X3D on the attached blend file. The Lamp objects produced incorrect direction values for the SpotLight in the Exported X3D scene. For instance the Lamp004 object at location -59.651 -1.888 1.884 with rotation X = 0 Y = -90 Z = 0 produced a direction of "0.0 0.0 1.0" instead of "1.0 0.0 0.0"

Export from X3D produced this result

<SpotLight DEF="Lamp_004" radius="67.161" ambientIntensity="0.0" intensity="0.029" color="1.0 1.0 1.0" beamWidth="0.077" cutOffAngle="0.1" direction="0.0 0.0 1.0" location="-59.651 1.884 1.888" />

and should have produced this result

<SpotLight DEF="Lamp_004" radius="67.161" ambientIntensity="0.0" intensity="0.029" color="1.0 1.0 1.0" beamWidth="0.077" cutOffAngle="0.1" direction="1.0 0.0 0.0" location="-59.651 1.884 1.888" />

which is a spotlight located far down the -X axis with a direction pointing along the +X axis.

Similar errors where seen on all the other SpotLight objects in the scene. There are other problems with lighting in this scene which I will report in a separate bug report.

I am using the latest nightly build of Blender 2.55.1 on a windows XP machine.