Termination proof

1: switching to dependency pairs

The following set of initial dependency pairs has been identified.

minus#( h( x ) ) → minus#( x )
minus#( f( x , y ) ) → minus#( y )
minus#( f( x , y ) ) → minus#( x )

1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals
[h (x1) ] = x1 + 3
[minus (x1) ] = x1
[f (x1, x2) ] = x1 + x2 + 3
[minus# (x1) ] = x1
[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.