Term Rewriting System R:

   [x, y]
   f(s(x), y, y) -> f(y, x, s(x))

Termination of R to be shown.


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

   f(s(x), y, y) -> f(y, x, s(x))

where the Polynomial interpretation:
POL(s(x_1)) = 1 + x_1
POL(f(x_1, x_2, x_3)) = 2 + 2*x_1 + x_2 + x_3
was used. 



All Rules of R can be deleted.



Termination of R successfully shown.


Duration: 0.350 seconds.