Termination Proof Script

Consider the TRS R consisting of the rewrite rules
1:    a(d(x))  → d(c(b(a(x))))
2:    b(c(x))  → c(d(a(b(x))))
3:    a(c(x))  → x
4:    b(d(x))  → x
There are 4 dependency pairs:
5:    A(d(x))  → B(a(x))
6:    A(d(x))  → A(x)
7:    B(c(x))  → A(b(x))
8:    B(c(x))  → B(x)
Consider the SCC {5-8}. The constraints could not be solved.
Tyrolean Termination Tool  (0.03 seconds)   ---  May 3, 2006