Certification Problem
Input (TPDB TRS_Standard/SK90/4.49)
The rewrite relation of the following TRS is considered.
|
f(x,y,f(z,u,v)) |
→ |
f(f(x,y,z),u,f(x,y,v)) |
(1) |
Property / Task
Prove or disprove termination.Answer / Result
No.Proof (by ttt2 @ termCOMP 2023)
1 Loop
The following loop proves nontermination.
| t0
|
= |
f(x,y,f(z,u,v)) |
|
→
|
f(f(x,y,z),u,f(x,y,v)) |
|
= |
t1
|
where t1 =
t0σ
and
σ =
{v/v, u/y, z/x, y/u, x/f(x,y,z)}