Term Rewriting System R:
[x, y, z]
f(x, y, z) -> g(x, y, z)
g(0, 1, x) -> f(x, x, x)

Termination of R to be shown.



   R
Dependency Pair Analysis



R contains the following Dependency Pairs:

F(x, y, z) -> G(x, y, z)
G(0, 1, x) -> F(x, x, x)

Furthermore, R contains one SCC.


   R
DPs
       →DP Problem 1
Remaining Obligation(s)




The following remains to be proven:
Dependency Pairs:

G(0, 1, x) -> F(x, x, x)
F(x, y, z) -> G(x, y, z)


Rules:


f(x, y, z) -> g(x, y, z)
g(0, 1, x) -> f(x, x, x)




Termination of R could not be shown.
Duration:
0:01 minutes