I tried it several different times using different combinations of phrases and always get INTj. One time it gave me my type after selecting just two phrases.
I think these four fit me best, but the test didn't allow me to select that exact combination.
*You deal with the objective and logical aspects of life. (logical type)
*You are attentive to your personal interests (I'm guessing this refers to obstinate types)
*You are aware of dangers and what is absent, insufficient, or possible to lose (negativist types?)
*You deal with ideas and concepts (intuitive type)
Note that the above 4 are shared by both LII and ILI
Additionally, these also fit me well:
*You evaluate the purpose behind your actions (strategic?)
*Your judgements are based on on your very own concepts and opinions (subjectivist, Ti/Fe valuer)
*You are attentive to your own personal resources (complaint? I want to protect both resources and interests)
I don't really buy into the Reinin dichotomies but it seemed to work for me.