Term Rewriting System R:

   [f, g, x]
   app(app(app(compose, f), g), x) -> app(f, app(g, x))

Termination of R to be shown.


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

   app(app(app(compose, f), g), x) -> app(f, app(g, x))

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



All Rules of R can be deleted.



Termination of R successfully shown.


Duration: 0.352 seconds.