Termination Proof Script

Consider the TRS R consisting of the rewrite rule
1:    f(f(a,x),a)  → f(f(x,f(a,f(a,a))),a)
There are 4 dependency pairs:
2:    F(f(a,x),a)  → F(f(x,f(a,f(a,a))),a)
3:    F(f(a,x),a)  → F(x,f(a,f(a,a)))
4:    F(f(a,x),a)  → F(a,f(a,a))
5:    F(f(a,x),a)  → F(a,a)
The approximated dependency graph contains one SCC: {2}.
Tyrolean Termination Tool  (0.02 seconds)   ---  May 3, 2006