Term Rewriting System R:

   [x, y]
   *(x, *(minus(y), y)) -> *(minus(*(y, y)), x)

Termination of R to be shown.


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

   *(x, *(minus(y), y)) -> *(minus(*(y, y)), x)

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



All Rules of R can be deleted.



Termination of R successfully shown.


Duration: 0.357 seconds.