Termination proof

1: switching to dependency pairs

The following set of initial dependency pairs has been identified.

*#( x , *( minus( y ) , y ) ) → *#( minus( *( y , y ) ) , x )
*#( x , *( minus( y ) , y ) ) → *#( y , y )

1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals
[minus (x1) ] = 3
[*# (x1, x2) ] = x1 + x2
[* (x1, x2) ] = 3 x1 + 2 x2 + 3
[f(x1, ..., xn)] = x1 + ... + xn + 1 for all other symbols f of arity n

one remains with the following pair(s).

none

1.1.1: P is empty

All dependency pairs have been removed.