NO

Prover = TRS(tech=GUIDED_UNF, nb_unfoldings=unlimited, unfold_variables=true, strategy=LEFTMOST_NE)

** BEGIN proof argument **
The following rule was generated while unfolding the analyzed TRS:
[iteration = 5] f(b,b) -> f(b,b)
Let l be the left-hand side and r be the right-hand side of this rule.
Let p = epsilon, theta1 = {} and theta2 = {}.
We have r|p = f(b,b) and theta2(theta1(l)) = theta1(r|p).
Hence, the term theta1(l) = f(b,b) loops w.r.t. the analyzed TRS.
** 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!

## Searching for a loop by unfolding (unfolding of variable subterms: ON)...
# Iteration 0: no loop detected, 1 unfolded rule generated.
# Iteration 1: no loop detected, 1 unfolded rule generated.
# Iteration 2: no loop detected, 1 unfolded rule generated.
# Iteration 3: no loop detected, 1 unfolded rule generated.
# Iteration 4: no loop detected, 4 unfolded rules generated.
# Iteration 5: loop detected, 1 unfolded rule generated.
Here is the successful unfolding. Let IR be the TRS under analysis.
L0 = [f^#(_0,_0) -> h^#(a), h^#(_1) -> g^#(_1,_1), g^#(a,_2) -> f^#(b,activate(_2))] is in U_IR^0.
We merge the first and the second rule of L0.
==> L1 = [f^#(_0,_0) -> g^#(a,a), g^#(a,_1) -> f^#(b,activate(_1))] is in U_IR^1.
We merge the first and the second rule of L1.
==> L2 = f^#(_0,_0) -> f^#(b,activate(a)) is in U_IR^2.
Let p2 = [0].
The subterm at position p2 in the left-hand side of the rule of L2 unifies with
the subterm at position p2 in the right-hand side of the rule of L2.
==> L3 = f^#(b,b) -> f^#(b,activate(a)) is in U_IR^3.
Let p3 = [1].
We unfold the rule of L3 forwards at position p3
with the rule activate(_0) -> _0.
==> L4 = f^#(b,b) -> f^#(b,a) is in U_IR^4.
Let p4 = [1].
We unfold the rule of L4 forwards at position p4
with the rule a -> b.
==> L5 = f^#(b,b) -> f^#(b,b) is in U_IR^5.

** END proof description **

Proof stopped at iteration 5
Number of unfolded rules generated by this proof = 9
Number of unfolded rules generated by all the parallel proofs = 9