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

Termination of R to be shown.



   R
Dependency Pair Analysis



R contains the following Dependency Pairs:

C -> F(g(c))
C -> C

Furthermore, R contains one SCC.


   R
DPs
       →DP Problem 1
Remaining Obligation(s)




The following remains to be proven:
Dependency Pair:

C -> C


Rules:


c -> f(g(c))
f(g(X)) -> g(X)




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