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

Termination of R to be shown.



   R
Dependency Pair Analysis



R contains the following Dependency Pairs:

F(g(x, y), x, z) -> F(z, z, z)

Furthermore, R contains one SCC.


   R
DPs
       →DP Problem 1
Remaining Obligation(s)




The following remains to be proven:
Dependency Pair:

F(g(x, y), x, z) -> F(z, z, z)


Rules:


f(g(x, y), x, z) -> f(z, z, z)
g(x, y) -> x
g(x, y) -> y




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