Certification Problem

Input (TPDB TRS_Standard/Strategy_removed_mixed_05/gkg)

The rewrite relation of the following TRS is considered.

f(X,g(X)) f(1,g(X)) (1)
g(1) g(0) (2)

Property / Task

Prove or disprove termination.

Answer / Result

No.

Proof (by ttt2 @ termCOMP 2023)

1 Loop

The following loop proves nontermination.

t0 = f(1,g(1))
f(1,g(1))
= t1
where t1 = t0