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 = 1] pairNs -> pairNs
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 = pairNs and theta2(theta1(l)) = theta1(r|p).
Hence, the term theta1(l) = pairNs 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, 11 unfolded rules generated.
# Iteration 1: loop detected, 1 unfolded rule generated.
Here is the successful unfolding. Let IR be the TRS under analysis.
L0 = [pairNs^# -> oddNs^#, oddNs^# -> pairNs^#] is in U_IR^0.
We merge the first and the second rule of L0.
==> L1 = pairNs^# -> pairNs^# is in U_IR^1.

** END proof description **

Proof stopped at iteration 1
Number of unfolded rules generated by this proof = 12
Number of unfolded rules generated by all the parallel proofs = 16