Termination w.r.t. Q of the following Term Rewriting System could not be shown:

Q restricted rewrite system:
The TRS R consists of the following rules:

f1(x) -> f1(f1(x))

Q is empty.


QTRS
  ↳ Non-Overlap Check

Q restricted rewrite system:
The TRS R consists of the following rules:

f1(x) -> f1(f1(x))

Q is empty.

The TRS is non-overlapping. Hence, we can switch to innermost.

↳ QTRS
  ↳ Non-Overlap Check
QTRS
      ↳ DependencyPairsProof

Q restricted rewrite system:
The TRS R consists of the following rules:

f1(x) -> f1(f1(x))

The set Q consists of the following terms:

f1(x0)


Q DP problem:
The TRS P consists of the following rules:

F1(x) -> F1(x)
F1(x) -> F1(f1(x))

The TRS R consists of the following rules:

f1(x) -> f1(f1(x))

The set Q consists of the following terms:

f1(x0)

We have to consider all minimal (P,Q,R)-chains.

↳ QTRS
  ↳ Non-Overlap Check
    ↳ QTRS
      ↳ DependencyPairsProof
QDP

Q DP problem:
The TRS P consists of the following rules:

F1(x) -> F1(x)
F1(x) -> F1(f1(x))

The TRS R consists of the following rules:

f1(x) -> f1(f1(x))

The set Q consists of the following terms:

f1(x0)

We have to consider all minimal (P,Q,R)-chains.