YES

Succeeded in reading "/export/starexec/sandbox/benchmark/theBenchmark.ari".
    (CONDITIONTYPE ORIENTED)
    (VAR x x1)
    (RULES
      e(0) -> true
      e(s(x)) -> true | e(x) == false
      e(s(x)) -> false | e(x) == true
    )

No "->="-rules.

Decomposed conditions and removed infeasible rules if possible.
    (CONDITIONTYPE ORIENTED)
    (VAR x x1)
    (RULES
      e(0) -> true
      e(s(x)) -> true | e(x) == false
      e(s(x)) -> false | e(x) == true
    )

(VAR x1)
(CONDITION 
e(x1) == false, e(x1) == true
)

Optimized the infeasibility problem if possible.

(VAR x1)
(CONDITION 
e(x1) == false, e(x1) == true
)

This is ultra-RL and deterministic.

This is operationally terminating and confluent.

(RTG_of_NARROWINGTREE
(START
  Gamma[e(x1) == false : { e, 1 } & e(x1) == true : { e, 1 }]
)
(NONTERMINALS
  Gamma[e(x1) == false : { e, 1 } & e(x1) == true : { e, 1 }]
  Gamma[e(x102) == false : { e, 1 }]
  Gamma[e(x105) == true : { e, 1 }]
)
(RULES
  Gamma[e(x1) == false : { e, 1 } & e(x1) == true : { e, 1 }] -> EmptySet
  Gamma[e(x102) == false : { e, 1 }] -> (Rec(Gamma[e(x105) == true : { e, 1 }], { x107 -> x105 }) . { x102 -> s(x107) })
  Gamma[e(x105) == true : { e, 1 }] -> { x105 -> 0 }
  Gamma[e(x105) == true : { e, 1 }] -> (Rec(Gamma[e(x102) == false : { e, 1 }], { x116 -> x102 }) . { x105 -> s(x116) })
)
)

YES