Certification Problem

Input (TPDB TRS_Standard/HirokawaMiddeldorp_04/n002)

The rewrite relation of the following TRS is considered.

f(x) → f(x) (1)

Property / Task

Prove or disprove termination.

Answer / Result

No.

Proof (by AProVE @ termCOMP 2023)

1 Looping derivation

There is a looping derivation.

f →+ ε f ε

The derivation can be derived as follows.