Term Rewriting System R:

   []
   f(g(f(a), h(a, f(a)))) -> f(h(g(f(a), a), g(f(a), f(a))))

Termination of R to be shown.


Removing the following rules from R which fullfill a polynomial ordering: 

   f(g(f(a), h(a, f(a)))) -> f(h(g(f(a), a), g(f(a), f(a))))

where the Polynomial interpretation:
POL(g(x_1, x_2)) = x_1 + 2*x_2
POL(a) = 0
POL(h(x_1, x_2)) = 1 + x_1 + x_2
POL(f(x_1)) = x_1
was used. 



All Rules of R can be deleted.



Termination of R successfully shown.


Duration: 0.389 seconds.