CI = CounterIntelligence
HUMINT = HUan INTelligence

HUMINT is an intelligence collection discipline, much like SIGINT, IMINT, TECHINT, and OSINT.

CI is an offensive/defensive application of methodology used to prevent the enemy from gaining access/information from/about the the intelligence collection disciplines.

Imagine we have two people standing back to back, the HUMINT person is facing outwards towards the enemy, and the CI person facing inwards to the host/friendly country/service. The HUMINT person is looking for information that can be gathered from about the enemy to exploit their weaknesses and to get their information. The CI person is facing inwards and looking for vulnerabilities that the enemy may try to exploit about us. This is the basic difference.

When you talk about the phrase "CI HUMINT' then you refer to the CI person using a collection methodology (namely HUMINT) to conduct their vulnerability testing. CI uses multiple methods to obtain their information, and sometimes they employ HUMINT, but this is not the rule.

CI is not HUMINT, just as HUMINT is not CI. Though they may use the same methods, tools, and techniques, their targets are opposite.

Counterintelligence has two basic jobs: catching spies, and preventing them from being effective until we can catch them. The process of catching spies is a HUMINT function.

Come to think of it, quite a lot of their security mission is HUMINT too.