Termination Proof Script

Consider the TRS R consisting of the rewrite rules
1:    a(f,a(g,a(f,x)))  → a(f,a(g,a(g,a(f,x))))
2:    a(g,a(f,a(g,x)))  → a(g,a(f,a(f,a(g,x))))
There are 4 dependency pairs:
3:    A(f,a(g,a(f,x)))  → A(f,a(g,a(g,a(f,x))))
4:    A(f,a(g,a(f,x)))  → A(g,a(g,a(f,x)))
5:    A(g,a(f,a(g,x)))  → A(g,a(f,a(f,a(g,x))))
6:    A(g,a(f,a(g,x)))  → A(f,a(f,a(g,x)))
Consider the SCC {3-6}. The constraints could not be solved.
Tyrolean Termination Tool  (0.03 seconds)   ---  May 3, 2006