  The existence of GHZ contradictions in many-qutrit systems was a
long-standing theoretical question until it's (affirmative) resolution in 2013.
To enable experimental tests, we derive Mermin inequalities from concurrent
observable sets identified in those proofs. These employ a weighted sum of
observables, called M, in which every term has the chosen GHZ state as an
eigenstate with eigenvalue unity. The quantum prediction for M is then just the
number of concurrent observables, and this grows asymptotically as 2^N/3 as the
number of qutrits (N) goes to infinity. The maximum classical value falls short
for every N, so that the quantum to classical ratio (starting at 1.5 when N=3),
diverges exponentially (~ 1.064^N) as N goes to infinity, where the system is
in a Schroedinger cat-like superposition of three macroscopically distinct
states.
