Termination Proof Script

Consider the TRS R consisting of the rewrite rules
1:    app(nil,YS)  → YS
2:    app(cons(X),YS)  → cons(X)
3:    from(X)  → cons(X)
4:    zWadr(nil,YS)  → nil
5:    zWadr(XS,nil)  → nil
6:    zWadr(cons(X),cons(Y))  → cons(app(Y,cons(X)))
7:    prefix(L)  → cons(nil)
There is one dependency pair:
8:    ZWADR(cons(X),cons(Y))  → APP(Y,cons(X))
The approximated dependency graph contains no SCCs and hence the TRS is trivially terminating.
Tyrolean Termination Tool  (0.01 seconds)   ---  May 3, 2006