Certification Problem

Input (TPDB SRS_Standard/Gebhardt_06/15)

The rewrite relation of the following TRS is considered.

0(0(0(0(x1)))) 0(1(1(1(x1)))) (1)
1(1(0(1(x1)))) 0(1(1(0(x1)))) (2)

Property / Task

Prove or disprove termination.

Answer / Result

No.

Proof (by AProVE @ termCOMP 2023)

1 Looping derivation

There is a looping derivation.

0 0 0 0 1 0 1 0 0 1 1 0 0+ ε 0 0 0 0 1 0 1 0 0 1 1 0 0 ε

The derivation can be derived as follows.