Termination Proof Script

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