It is a Non trivial property in the sense of Rice's Theorem, hence Undecidable.
But, is it a Non monotonic Property ?
- Let $T_{Yes} = \left \{ 0,1 \right \}$
- And $T_{No} = \left \{ 0,1,011\right \}$
As, $T_{Yes} \subseteq T_{No}$, Making this even Non RE.