Term Rewriting System R:

   [x, y, z]
   +(-(x, y), z) -> -(+(x, z), y)
   -(+(x, y), y) -> x

Termination of R to be shown.


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

   +(-(x, y), z) -> -(+(x, z), y)
   -(+(x, y), y) -> x

where the Polynomial interpretation:
POL(-(x_1, x_2)) = 1 + x_1 + x_2
POL(+(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.