as far as I could tell from looking in the system ...
as far as I can tell from looking at ...
この場合、次のように言えると思います。
ーAs far as I could tell from looking in the system, he didn't have any criminal record.
「システムで調べた限り、彼は前科がなかった」
as far as I could tell from looking in the system ... で「システムで調べた限り」を表現できます。
ーAs far as I can tell from looking at the inventory, we don't have any of those ... in stock.
「棚卸表を確認した限り、…は在庫がありません」
as far as I can tell from looking at ... で「…を確認した限り」と表現できます。
ご参考まで！
カナダ 
