Apraxas no Yume (Volume)

is the first volume of the Apraxas no Yume light novel series, written by Yashichiro Takahashi and Illustrated by Nagiryo. It was released under the Dengeki Bunko Imprint in June 2004.

Synopsis
Andy and Bogey of the "Division Extermination Company" whose livelihood is to exterminate monsters that nest in different spaces. While chasing a monster called "Phantom" that suddenly appeared and disappeared without sound, the existence of a girl with a red umbrella emerged ... The sci-fi action story released by Yashichiro Takahashi is finally here!

(source: Bookwalker JP - Translated)