Certification Problem

Input (TPDB TRS_Standard/Transformed_CSR_04/PEANO_nosorts_L)

The rewrite relation of the following TRS is considered.

and(tt) X (1)
plus(N,0) N (2)
plus(N,s(M)) s(plus(N,M)) (3)

Property / Task

Prove or disprove termination.

Answer / Result

No.

Proof (by AProVE @ termCOMP 2023)

1 Variable Condition Violated

The TRS violates one of the two variable conditions. Thus, it is not terminating.