Despite getting widely adopted recently, a Neural Machine Translation (NMT) system is often found to produce translation failures in the outputs. Developers have been relying on in-house system testing for quality assurance of NMT. This testing methodology requires human-constructed reference translations as the ground truth (test oracle) for example natural language inputs. The testing methodology has shown benefits of quickly enhancing an NMT system in early development stages. However, in industrial settings, it is desirable to detect translation failures without reliance on reference translations for enabling further improvements on translation quality in both industrial development and production environments. Aiming for a practical and scalable solution to such demand in the industrial settings, in this paper, we propose a new approach for automatically identifying translation failures without requiring reference translations for a translation task. Our approach focuses on a property of natural language translation that can be checked systematically by using information from both the test inputs (i.e., the texts to be translated) and the test outputs (i.e., the translations under inspection) of the NMT system. Our evaluation conducted on real-world datasets shows that our approach can effectively detect property violations as translation failures. By deploying our approach in the translation service of WeChat (a messenger app with more than one billion monthly active users), we show that our approach is both practical and scalable in the industrial settings.