YES

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

No "->="-rules.

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

(CONDITION 
pos(0) == true
)

Optimized the infeasibility problem if possible.

(CONDITION 
pos(0) == true
)

This is ultra-RL and deterministic.

This is not operationally terminating and confluent.

This is a constructor-based system.

(RTG_of_NARROWINGTREE
(START
  Gamma[pos(0) == true : { e, 1, 1.1 }]
)
(NONTERMINALS
  Gamma[pos(0) == true : { e, 1, 1.1 }]
)
(RULES
  Gamma[pos(0) == true : { e, 1, 1.1 }] -> EmptySet
)
)

YES