YES

Prover = TRS(tech=GUIDED_UNF_TRIPLES, nb_unfoldings=unlimited, unfold_variables=false, max_nb_coefficients=12, max_nb_unfolded_rules=-1, strategy=LEFTMOST_NE)

** 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 = [f^#(g(_0,_1)) -> f^#(_0), f^#(g(_0,_1)) -> f^#(_1), f^#(h(_0,_1)) -> f^#(_0), f^#(h(_0,_1)) -> f^#(_1)]
  TRS = {f(a) -> b, f(c) -> d, f(g(_0,_1)) -> g(f(_0),f(_1)), f(h(_0,_1)) -> g(h(_1,f(_0)),h(_0,f(_1))), g(_0,_0) -> h(e,_0)}
    ## 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