Term Rewriting System R:

   [f, x]
   app(app(apply, f), x) -> app(f, x)

Termination of R to be shown.


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

   app(app(apply, f), x) -> app(f, x)

where the Polynomial interpretation:
POL(apply) = 0
POL(app(x_1, x_2)) = 1 + x_1 + x_2
was used. 



All Rules of R can be deleted.



Termination of R successfully shown.


Duration: 0.348 seconds.