YES

TRS:

  a__nats() -> cons(0(),incr(nats()))
  a__pairs() -> cons(0(),incr(odds()))
  a__odds() -> a__incr(a__pairs())
  a__incr(cons(X,XS)) -> cons(s(mark(X)),incr(XS))
  a__head(cons(X,XS)) -> mark(X)
  a__tail(cons(X,XS)) -> mark(XS)
  mark(nats()) -> a__nats()
  mark(pairs()) -> a__pairs()
  mark(odds()) -> a__odds()
  mark(incr(X)) -> a__incr(mark(X))
  mark(head(X)) -> a__head(mark(X))
  mark(tail(X)) -> a__tail(mark(X))
  mark(0()) -> 0()
  mark(s(X)) -> s(mark(X))
  mark(nil()) -> nil()
  mark(cons(X1,X2)) -> cons(mark(X1),X2)
  a__nats() -> nats()
  a__pairs() -> pairs()
  a__odds() -> odds()
  a__incr(X) -> incr(X)
  a__head(X) -> head(X)
  a__tail(X) -> tail(X)

max/plus interpretations on N:

  a__nats_A = 33
  a__nats#_A = 42
  cons_A(x1,x2) = max{12, 20 + x1, -19 + x2}
  cons#_A(x1,x2) = max{1, 41, -1}
  0_A = 5
  0#_A = 36
  incr_A(x1) = max{52, 12 + x1}
  incr#_A(x1) = max{21, 41}
  nats_A = 28
  nats#_A = 0
  a__pairs_A = 40
  a__pairs#_A = 42
  odds_A = 47
  odds#_A = 0
  a__odds_A = 52
  a__odds#_A = 62
  a__incr_A(x1) = max{52, 12 + x1}
  a__incr#_A(x1) = max{41, 21 + x1}
  s_A(x1) = max{5, 7 + x1}
  s#_A(x1) = max{0, 31}
  mark_A(x1) = max{4, 5 + x1}
  mark#_A(x1) = max{32, 30 + x1}
  a__head_A(x1) = max{3, x1}
  a__head#_A(x1) = max{22, 24 + x1}
  a__tail_A(x1) = max{34, 28 + x1}
  a__tail#_A(x1) = max{59, 52 + x1}
  pairs_A = 35
  pairs#_A = 0
  head_A(x1) = max{3, x1}
  head#_A(x1) = max{21, 23 + x1}
  tail_A(x1) = max{30, 28 + x1}
  tail#_A(x1) = max{53, 0}
  nil_A = 0
  nil#_A = 31

precedence:

  a__tail > mark > a__pairs = a__head = tail = nil > 0 = a__odds = pairs = head > a__nats = odds = a__incr > cons = incr = nats > s