Termination Proof Script

Consider the TRS R consisting of the rewrite rule
1:    f(g(h(x,y)),f(a,a))  → f(h(x,x),g(f(y,a)))
There are 2 dependency pairs:
2:    F(g(h(x,y)),f(a,a))  → F(h(x,x),g(f(y,a)))
3:    F(g(h(x,y)),f(a,a))  → F(y,a)
The approximated dependency graph contains no SCCs and hence the TRS is trivially terminating.
Tyrolean Termination Tool  (0.01 seconds)   ---  May 3, 2006