MAYBE

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

No "->="-rules.

Decomposed conditions and removed infeasible rules if possible.
    (VAR w z y x)
    (RULES
      f(f(x,y),f(z,w)) -> f(f(x,z),f(y,w))
      f(f(x,y),x) -> x
    )

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

Optimized the infeasibility problem if possible.

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

This is ultra-RL and deterministic.

This is not operationally terminating and confluent.

MAYBE