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

max/plus interpretations on N:

  a__nats_A = 4
  a__nats#_A = 8
  cons_A(x1,x2) = max{0, 3 + x1, -2 + x2}
  cons#_A(x1,x2) = max{7, 6 + x1, 5}
  0_A = 1
  0#_A = 3
  incr_A(x1) = max{0, x1}
  incr#_A(x1) = max{1, -1}
  nats_A = 4
  nats#_A = 0
  a__pairs_A = 4
  a__pairs#_A = 8
  odds_A = 6
  odds#_A = 0
  a__odds_A = 6
  a__odds#_A = 10
  a__incr_A(x1) = max{0, x1}
  a__incr#_A(x1) = max{0, 5 + x1}
  s_A(x1) = max{0, x1}
  s#_A(x1) = max{4, 1}
  mark_A(x1) = max{0, x1}
  mark#_A(x1) = max{2, 5 + x1}
  a__head_A(x1) = max{2, 2 + x1}
  a__head#_A(x1) = max{1, 5}
  a__tail_A(x1) = max{7, 8 + x1}
  a__tail#_A(x1) = max{10, 8 + x1}
  pairs_A = 4
  pairs#_A = 0
  head_A(x1) = max{1, 2 + x1}
  head#_A(x1) = max{0, 0}
  tail_A(x1) = max{6, 8 + x1}
  tail#_A(x1) = max{9, 0}

precedence:

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