YES

TRS:

  a__app(nil(),YS) -> mark(YS)
  a__app(cons(X,XS),YS) -> cons(mark(X),app(XS,YS))
  a__from(X) -> cons(mark(X),from(s(X)))
  a__zWadr(nil(),YS) -> nil()
  a__zWadr(XS,nil()) -> nil()
  a__zWadr(cons(X,XS),cons(Y,YS)) -> cons(a__app(mark(Y),cons(mark(X),nil())),zWadr(XS,YS))
  a__prefix(L) -> cons(nil(),zWadr(L,prefix(L)))
  mark(app(X1,X2)) -> a__app(mark(X1),mark(X2))
  mark(from(X)) -> a__from(mark(X))
  mark(zWadr(X1,X2)) -> a__zWadr(mark(X1),mark(X2))
  mark(prefix(X)) -> a__prefix(mark(X))
  mark(nil()) -> nil()
  mark(cons(X1,X2)) -> cons(mark(X1),X2)
  mark(s(X)) -> s(mark(X))
  a__app(X1,X2) -> app(X1,X2)
  a__from(X) -> from(X)
  a__zWadr(X1,X2) -> zWadr(X1,X2)
  a__prefix(X) -> prefix(X)

max/plus interpretations on N:

  a__app_A(x1,x2) = max{6, x1, 6 + x2}
  a__app#_A(x1,x2) = max{6, x1, 6 + x2}
  nil_A = 4
  nil#_A = 4
  mark_A(x1) = max{0, x1}
  mark#_A(x1) = max{0, x1}
  cons_A(x1,x2) = max{2, 7 + x1, x2}
  cons#_A(x1,x2) = max{2, 7 + x1, x2}
  app_A(x1,x2) = max{5, x1, 6 + x2}
  app#_A(x1,x2) = max{5, x1, 6 + x2}
  a__from_A(x1) = max{8, 8 + x1}
  a__from#_A(x1) = max{8, 8 + x1}
  from_A(x1) = max{8, 8 + x1}
  from#_A(x1) = max{8, 8 + x1}
  s_A(x1) = max{0, x1}
  s#_A(x1) = max{0, x1}
  a__zWadr_A(x1,x2) = max{5, 14 + x1, x2}
  a__zWadr#_A(x1,x2) = max{5, 14 + x1, x2}
  zWadr_A(x1,x2) = max{14, 14 + x1, x2}
  zWadr#_A(x1,x2) = max{14, 14 + x1, x2}
  a__prefix_A(x1) = max{13, 14 + x1}
  a__prefix#_A(x1) = max{13, 14 + x1}
  prefix_A(x1) = max{14, 14 + x1}
  prefix#_A(x1) = max{14, 14 + x1}

precedence:

  mark = a__from > from = s = a__zWadr = a__prefix > a__app = zWadr = prefix > cons = app > nil