YES

Succeeded in reading "/export/starexec/sandbox/benchmark/theBenchmark.ari".
    (CONDITIONTYPE ORIENTED)
    (VAR x y)
    (RULES
      +(0,x) -> x
      +(s(x),y) -> s(+(x,y))
    )

No "->="-rules.

Decomposed conditions and removed infeasible rules if possible.
    (VAR x y)
    (RULES
      +(0,x) -> x
      +(s(x),y) -> s(+(x,y))
    )

(VAR x)
(CONDITION 
+(x,a) == 0
)

Optimized the infeasibility problem if possible.

(VAR x)
(CONDITION 
+(x,a) == 0
)

This is ultra-RL and deterministic.

This is operationally terminating and confluent.

(RTG_of_NARROWINGTREE
(START
  Gamma[+(x,a) == 0 : { e, 1, 1.2 }]
)
(NONTERMINALS
  Gamma[+(x,a) == 0 : { e, 1, 1.2 }]
  Gamma[+(x34,a4) == 0 : { e, 1 }]
  Gamma[+(x42,y17) == +5 : { e, 1 }]
)
(RULES
  Gamma[+(x,a) == 0 : { e, 1, 1.2 }] -> EmptySet
  Gamma[+(x34,a4) == 0 : { e, 1 }] -> { x35 -> 0, a4 -> 0, x34 -> 0 }
  Gamma[+(x42,y17) == +5 : { e, 1 }] -> { +5 -> +(x42,y17) }
  Gamma[+(x42,y17) == +5 : { e, 1 }] -> { x45 -> x47, +5 -> x47, y17 -> x47, x42 -> 0 }
  Gamma[+(x42,y17) == +5 : { e, 1 }] -> ((Rec(Gamma[+(x42,y17) == +5 : { e, 1 }], { +6 -> +5, y18 -> y17, x46 -> x42 }) & { +5 -> s(+6) }) . { y17 -> y18, x42 -> s(x46) })
)
)

YES