YES
TRS:
 {    rev(nil()) -> nil(),
    rev(.(x, y)) -> ++(rev(y), .(x, nil())),
    ++(nil(), y) -> y,
  ++(.(x, y), z) -> .(x, ++(y, z)),
    car(.(x, y)) -> x,
    cdr(.(x, y)) -> y,
     null(nil()) -> true(),
   null(.(x, y)) -> false()}
 RUF:
  Strict:
   {    rev(nil()) -> nil(),
      rev(.(x, y)) -> ++(rev(y), .(x, nil())),
      ++(nil(), y) -> y,
    ++(.(x, y), z) -> .(x, ++(y, z))}
  Weak:
   {}
  DP:
   Strict:
    {  rev#(.(x, y)) -> rev#(y),
       rev#(.(x, y)) -> ++#(rev(y), .(x, nil())),
     ++#(.(x, y), z) -> ++#(y, z)}
   Weak:
   {    rev(nil()) -> nil(),
      rev(.(x, y)) -> ++(rev(y), .(x, nil())),
      ++(nil(), y) -> y,
    ++(.(x, y), z) -> .(x, ++(y, z))}
   EDG:
    {(rev#(.(x, y)) -> rev#(y), rev#(.(x, y)) -> ++#(rev(y), .(x, nil())))
     (rev#(.(x, y)) -> rev#(y), rev#(.(x, y)) -> rev#(y))
     (rev#(.(x, y)) -> ++#(rev(y), .(x, nil())), ++#(.(x, y), z) -> ++#(y, z))
     (++#(.(x, y), z) -> ++#(y, z), ++#(.(x, y), z) -> ++#(y, z))}
    SCCS:
     Scc:
      {++#(.(x, y), z) -> ++#(y, z)}
     Scc:
      {rev#(.(x, y)) -> rev#(y)}
     SCC:
      Strict:
       {++#(.(x, y), z) -> ++#(y, z)}
      Weak:
      {    rev(nil()) -> nil(),
         rev(.(x, y)) -> ++(rev(y), .(x, nil())),
         ++(nil(), y) -> y,
       ++(.(x, y), z) -> .(x, ++(y, z))}
      SPSC:
       Simple Projection:
        pi(++#) = 0
       Strict:
        {}
       Qed
     SCC:
      Strict:
       {rev#(.(x, y)) -> rev#(y)}
      Weak:
      {    rev(nil()) -> nil(),
         rev(.(x, y)) -> ++(rev(y), .(x, nil())),
         ++(nil(), y) -> y,
       ++(.(x, y), z) -> .(x, ++(y, z))}
      SPSC:
       Simple Projection:
        pi(rev#) = 0
       Strict:
        {}
       Qed