YES

Proof:
This system is confluent.
By \cite{SMI95}, Corollary 4.7 or 5.3.
This system is normal.
This system is of type 3 or smaller.
This system is right-stable.
This system is properly oriented.
This is an overlay system.
This system is left-linear.
All 2 critical pairs are trivial or infeasible.
true = true <= pos(0) = true:
This critical pair is trivial.
true = true <= pos(0) = true:
This critical pair is trivial.
This system is conditional.