DON'T KNOW

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

** 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 = [a^#(f,a(f,_0)) -> a^#(_0,_0), a^#(h,_0) -> a^#(f,_0), a^#(h,_0) -> a^#(f,a(g,a(f,_0)))]
  TRS = {a(f,a(f,_0)) -> a(_0,_0), a(h,_0) -> a(f,a(g,a(f,_0)))}
    ## Trying with homeomorphic embeddings... Failed!
    ## Trying with polynomial interpretations... Failed!
    ## Trying with lexicographic path orders... Failed!
    ## Trying to prove nontermination by unfolding the dependency pairs with the rules of the TRS
        # Iteration 0: nontermination not detected, 3 unfolded rules generated.
        # Iteration 1: nontermination not detected, 4 unfolded rules generated.
        # Iteration 2: nontermination not detected, 3 unfolded rules generated.
        # Iteration 3: nontermination not detected, 0 unfolded rule generated.
        Nontermination not detected!
  Don't know whether this DP problem is finite.
Could not solve the following DP problems:
1: Dependency pairs = [a^#(f,a(f,_0)) -> a^#(_0,_0), a^#(h,_0) -> a^#(f,_0), a^#(h,_0) -> a^#(f,a(g,a(f,_0)))]
TRS = {a(f,a(f,_0)) -> a(_0,_0), a(h,_0) -> a(f,a(g,a(f,_0)))}
Hence, could not prove (non)termination of the TRS under analysis.

** END proof description **

Proof stopped at iteration 3
Number of unfolded rules generated by this proof = 10
Number of unfolded rules generated by all the parallel proofs = 1036