Certification Problem

Input (TPDB TRS_Standard/Transformed_CSR_04/Ex1_2_Luc02c_L)

The rewrite relation of the following TRS is considered.

2nd(cons(X)) Y (1)
from(X) cons(X) (2)

Property / Task

Prove or disprove termination.

Answer / Result

No.

Proof (by ttt2 @ termCOMP 2023)

1 Loop

The following loop proves nontermination.

t0 = 2nd(cons(X))
2nd(cons(X))
= t1
where t1 = t0σ and σ = {Y/2nd(cons(X))}