Termination Proof Script

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