Termination Proof Script

Consider the TRS R consisting of the rewrite rules
1:    f(a)  → g(h(a))
2:    h(g(x))  → g(h(f(x)))
3:    k(x,h(x),a)  → h(x)
4:    k(f(x),y,x)  → f(x)
There are 3 dependency pairs:
5:    F(a)  → H(a)
6:    H(g(x))  → H(f(x))
7:    H(g(x))  → F(x)
The approximated dependency graph contains one SCC: {6}.
Tyrolean Termination Tool  (0.02 seconds)   ---  May 3, 2006