The rewrite relation of the following TRS is considered.
| 2nd(cons(X)) | → | head(XS) | (1) |
| sel(s(N),cons(X)) | → | sel(N,XS) | (2) |
| from(X) | → | cons(X) | (3) |
| head(cons(X)) | → | X | (4) |
| take(0,XS) | → | nil | (5) |
| take(s(N),cons(X)) | → | cons(X) | (6) |
| sel(0,cons(X)) | → | X | (7) |
The TRS violates one of the two variable conditions. Thus, it is not terminating.