Term Rewriting System R:
[x]
f(g(x)) -> g(g(f(x)))
f(g(x)) -> g(g(g(x)))

Termination of R to be shown.



   R
Dependency Pair Analysis



R contains the following Dependency Pairs:

F(g(x)) -> F(x)

Furthermore, R contains one SCC.


   R
DPs
       →DP Problem 1
Remaining Obligation(s)




The following remains to be proven:
Dependency Pair:

F(g(x)) -> F(x)


Rules:


f(g(x)) -> g(g(f(x)))
f(g(x)) -> g(g(g(x)))




Termination of R could not be shown.
Duration:
0:00 minutes