Termination Proof Script

Consider the TRS R consisting of the rewrite rules
1:    f(x)  → s(x)
2:    f(s(s(x)))  → s(f(f(x)))
There are 2 dependency pairs:
3:    F(s(s(x)))  → F(f(x))
4:    F(s(s(x)))  → F(x)
Consider the SCC {3,4}. The constraints could not be solved.
Tyrolean Termination Tool  (0.01 seconds)   ---  May 3, 2006