Termination Proof Script

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