Blind Justice and Apocalypse are from the IIDX series. The accompanying DVD includes these two songs as well as Ristaccia and Turii, so I presume that these are also Bemani songs (I haven't gotten a chance to watch the DVD yet). The rest might be original compositions, or they might be planned for future IIDX or Pop'n games.
Edit: Info taken from here:
http://www.konamistyle.jp/sp/zektbach_1st/
Ark Ouroboros永遠の方舟: 新曲
fragmentはじまりの欠片: Zektbach Official Site
Overture -Ristaccia-序曲～リスタチア～: beatmania IIDX 15 DJ TROOPERS
Aria te'Laria メインテーマ～アリア・テ・ラリア～: 新曲
Shamshir Danceシャムシールの舞: pop'n music 14 FEVER!
Rufina叡智永劫: 新曲
ZETA素数の世界と超越者: pop'n music 15 ADVENTURE
Holy Kingdom of Noigllado傀儡の王国: 新曲
Blind Justiceそれぞれの正義: beatmania IIDX 14 GOLD
The Abandoned Island見捨てられた楽園: Zektbach Official Site
Apocalypse罪狩りの聖女: beatmania IIDX 13 DistorteD
Turii ～Panta rhei～ トゥーリと星の民: beatmania IIDX 16 EMPRESS
L'erisia(Primary Logic)赤き天使: 新曲
Nyoah's Sword Dance 華麗なるニョアの剣舞: 新曲
The rest are orchestral arranges.