Term Rewriting System R:

   [x]
   f(a, f(f(a, x), a)) -> f(f(a, f(a, x)), a)

Termination of R to be shown.


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

   f(a, f(f(a, x), a)) -> f(f(a, f(a, x)), a)

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



All Rules of R can be deleted.



Termination of R successfully shown.


Duration: 0.361 seconds.