Term Rewriting System R:

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

Termination of R to be shown.


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

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

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



All Rules of R can be deleted.



Termination of R successfully shown.


Duration: 0.360 seconds.