We consider two TRSs R and S where R contains the rules
| a | → | b | (1) |
| a | → | d | (2) |
| b | → | a | (3) |
| c | → | a | (4) |
| c | → | b | (5) |
and S contains the following rules:
| a | → | b | (1) |
| a | → | c | (6) |
| a | → | e | (7) |
| b | → | d | (8) |
| c | → | a | (4) |
| d | → | a | (9) |
| d | → | e | (10) |
| g(x) | → | h(a) | (11) |
| h(x) | → | e | (12) |
The underlying signature is as follows:
{a/0, b/0, c/0, d/0, e/0, g/1, h/1}