Termination Proof Script

Consider the TRS R consisting of the rewrite rules
1:    d(x)  → e(u(x))
2:    d(u(x))  → c(x)
3:    c(u(x))  → b(x)
4:    v(e(x))  → x
5:    b(u(x))  → a(e(x))
There are 2 dependency pairs:
6:    D(u(x))  → C(x)
7:    C(u(x))  → B(x)
The approximated dependency graph contains no SCCs and hence the TRS is trivially terminating.
Tyrolean Termination Tool  (0.01 seconds)   ---  May 3, 2006