Term Rewriting System R:

   [x, y, z]
   and(not(not(x)), y, not(z)) -> and(y, band(x, z), x)

Termination of R to be shown.


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

   and(not(not(x)), y, not(z)) -> and(y, band(x, z), x)

where the Polynomial interpretation:
POL(band(x_1, x_2)) = x_1 + x_2
POL(not(x_1)) = 1 + 2*x_1
POL(and(x_1, x_2, x_3)) = 1 + x_1 + x_2 + x_3
was used. 



All Rules of R can be deleted.



Termination of R successfully shown.


Duration: 0.369 seconds.