/home/nowonder/forschung/aprove/TPDB05/TRS/TRCSR/Ex2_Luc03b_FR.trs

The program

(VAR X Y Z X1 X2)
(RULES 
fst(0,Z) -> nil
fst(s(X),cons(Y,Z)) -> cons(Y,n__fst(activate(X),activate(Z)))
from(X) -> cons(X,n__from(n__s(X)))
add(0,X) -> X
add(s(X),Y) -> s(n__add(activate(X),Y))
len(nil) -> 0
len(cons(X,Z)) -> s(n__len(activate(Z)))
fst(X1,X2) -> n__fst(X1,X2)
from(X) -> n__from(X)
s(X) -> n__s(X)
add(X1,X2) -> n__add(X1,X2)
len(X) -> n__len(X)
activate(n__fst(X1,X2)) -> fst(activate(X1),activate(X2))
activate(n__from(X)) -> from(activate(X))
activate(n__s(X)) -> s(X)
activate(n__add(X1,X2)) -> add(activate(X1),activate(X2))
activate(n__len(X)) -> len(activate(X))
activate(X) -> X
)

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