Termination Proof Script

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