MAYBE

Succeeded in reading "/export/starexec/sandbox/benchmark/theBenchmark.ari".
    (CONDITIONTYPE ORIENTED)
    (VAR x z y)
    (RULES
      f(x,x) -> unit | x == x2, a == x2
      f(x,unit) -> x
      f(f(x,y),z) -> f(x,f(y,z))
    )

No "->="-rules.

Decomposed conditions and removed infeasible rules if possible.
    (CONDITIONTYPE ORIENTED)
    (VAR x z y)
    (RULES
      f(x,x) -> unit | x == a
      f(x,unit) -> x
      f(f(x,y),z) -> f(x,f(y,z))
    )

(VAR x1)
(CONDITION 
a == x1, f(a,a) == x1
)

Optimized the infeasibility problem if possible.

(CONDITION 
f(a,a) == a
)

This is ultra-RL and deterministic.

This is not operationally terminating and confluent.

MAYBE