Termination Proof Script

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