Termination Proof Script

Consider the TRS R consisting of the rewrite rules
1:    f(s(x))  → s(f(f(p(s(x)))))
2:    f(0)  → 0
3:    p(s(x))  → x
There are 3 dependency pairs:
4:    F(s(x))  → F(f(p(s(x))))
5:    F(s(x))  → F(p(s(x)))
6:    F(s(x))  → P(s(x))
The approximated dependency graph contains one SCC: {4,5}.
Tyrolean Termination Tool  (0.01 seconds)   ---  May 3, 2006