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 = 10
  a__nats#_A = 10
  cons_A(x1,x2) = max{9, 5 + x1, x2}
  cons#_A(x1,x2) = max{9, 5 + x1, x2}
  0_A = 0
  0#_A = 0
  incr_A(x1) = max{1, x1}
  incr#_A(x1) = max{1, x1}
  nats_A = 10
  nats#_A = 10
  a__pairs_A = 10
  a__pairs#_A = 10
  odds_A = 10
  odds#_A = 10
  a__odds_A = 10
  a__odds#_A = 10
  a__incr_A(x1) = max{2, x1}
  a__incr#_A(x1) = max{2, x1}
  s_A(x1) = max{3, x1}
  s#_A(x1) = max{3, x1}
  mark_A(x1) = max{4, x1}
  mark#_A(x1) = max{4, x1}
  a__head_A(x1) = max{9, 5 + x1}
  a__head#_A(x1) = max{9, 5 + x1}
  a__tail_A(x1) = max{5, 1 + x1}
  a__tail#_A(x1) = max{5, 1 + x1}
  pairs_A = 10
  pairs#_A = 10
  head_A(x1) = max{9, 5 + x1}
  head#_A(x1) = max{9, 5 + x1}
  tail_A(x1) = max{5, 1 + x1}
  tail#_A(x1) = max{5, 1 + x1}
  nil_A = 0
  nil#_A = 0

precedence:

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