Termination Proof Script

Consider the TRS R consisting of the rewrite rules
1:    1 . x  → x
2:    x . 1  → x
3:    i(x) . x  → 1
4:    x . i(x)  → 1
5:    i(1)  → 1
6:    i(i(x))  → x
7:    i(y) . (y . z)  → z
8:    y . (i(y) . z)  → z
There are no dependency pairs. Hence the TRS is trivially terminating.
Tyrolean Termination Tool  (0.01 seconds)   ---  May 3, 2006