Certification Problem

Input (TPDB TRS_Standard/HirokawaMiddeldorp_04/n006)

The rewrite relation of the following TRS is considered.

f(x) f(g(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 g

The derivation can be derived as follows.