Term Rewriting System R:

   [x, y, z]
   f(g(x, y), x, z) -> f(z, z, z)
   g(x, y) -> x
   g(x, y) -> y

Innermost Termination of R to be shown.


Removing the following rules from R which left hand sides contain non normal subterms

   f(g(x, y), x, z) -> f(z, z, z)

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

   g(x, y) -> x
   g(x, y) -> y

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



All Rules of R can be deleted.



Innermost Termination of R successfully shown.


Duration: 0.531 seconds.