Termination Proof Script

Consider the TRS R consisting of the rewrite rules
1:    f(0)  → cons(0)
2:    f(s(0))  → f(p(s(0)))
3:    p(s(0))  → 0
There are 2 dependency pairs:
4:    F(s(0))  → F(p(s(0)))
5:    F(s(0))  → P(s(0))
The approximated dependency graph contains no SCCs and hence the TRS is trivially terminating.
Tyrolean Termination Tool  (0.00 seconds)   ---  May 3, 2006