IPA: /ˌɪn.dɪˈfɛk.tɪ.bɪl.ɪ.ti/
KK: /ɪnˌdɪfɛkˈtɪbɪlɪti/
The quality of being unable to fail or be defective; perfection in reliability or integrity.
The indefectibility of the institution was praised by its supporters.
Indefectibility is formed from "in-" (meaning not) and "defectus" (from Latin, meaning failure or defect) and the suffix "-ibility" (meaning the quality of being). The word refers to the quality of being incapable of failing or defecting.
Think of 'not' ('in-') having a 'failure' ('defectus') — that's why indefectibility means the quality of never failing.