Certification Problem

Input (TPDB TRS_Standard/Strategy_removed_CSR_05/ExConc_Zan97)

The rewrite relation of the following TRS is considered.

f(X) → g(h(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 →+ g h f ε

The derivation can be derived as follows.