YES

Prover = TRS(tech=PATTERN_RULES, nb_unfoldings=unlimited, max_nb_unfolded_rules=200)

** BEGIN proof argument **
All the DP problems were proved finite.
As all the involved DP processors are sound,
the TRS under analysis terminates.
** END proof argument **

** BEGIN proof description **
## Searching for a generalized rewrite rule
(a rule whose right-hand side contains a variable
that does not occur in the left-hand side)...
No generalized rewrite rule found!

## Applying the DP framework...
## Round 1:
  ## DP problem: 
  Dependency pairs = [rev^#(.(_0,_1)) -> rev^#(_1)]
  TRS = {rev(nil) -> nil, rev(.(_0,_1)) -> ++(rev(_1),.(_0,nil)), car(.(_0,_1)) -> _0, cdr(.(_0,_1)) -> _1, null(nil) -> true, null(.(_0,_1)) -> false, ++(nil,_0) -> _0, ++(.(_0,_1),_2) -> .(_0,++(_1,_2))}
    ## Trying with homeomorphic embeddings... Success!
  This DP problem is finite.
  ## DP problem: 
  Dependency pairs = [++^#(.(_0,_1),_2) -> ++^#(_1,_2)]
  TRS = {rev(nil) -> nil, rev(.(_0,_1)) -> ++(rev(_1),.(_0,nil)), car(.(_0,_1)) -> _0, cdr(.(_0,_1)) -> _1, null(nil) -> true, null(.(_0,_1)) -> false, ++(nil,_0) -> _0, ++(.(_0,_1),_2) -> .(_0,++(_1,_2))}
    ## Trying with homeomorphic embeddings... Success!
  This DP problem is finite.

** END proof description **

Proof stopped at iteration 0
Number of unfolded rules generated by this proof = 0
Number of unfolded rules generated by all the parallel proofs = 0