Certification Problem

Input (TPDB SRS_Standard/Secret_07_SRS/num-530)

The rewrite relation of the following TRS is considered.

a(a(b(x1))) b(c(b(a(a(a(x1)))))) (1)
a(c(x1)) b(x1) (2)

Property / Task

Prove or disprove termination.

Answer / Result

No.

Proof (by AProVE @ termCOMP 2023)

1 Looping derivation

There is a looping derivation.

a a b a b c b+ b c b b c b b c b a b c b a b c b b c b a a a b a b c b a a a

The derivation can be derived as follows.