/home/nowonder/forschung/aprove/TPDB05/TRS/TRCSR/Ex8_BLR02_FR.trs

The program

(VAR N X Y XS X1 X2)
(RULES 
fib(N) -> sel(N,fib1(s(0),s(0)))
fib1(X,Y) -> cons(X,n__fib1(Y,n__add(X,Y)))
add(0,X) -> X
add(s(X),Y) -> s(add(X,Y))
sel(0,cons(X,XS)) -> X
sel(s(N),cons(X,XS)) -> sel(N,activate(XS))
fib1(X1,X2) -> n__fib1(X1,X2)
add(X1,X2) -> n__add(X1,X2)
activate(n__fib1(X1,X2)) -> fib1(activate(X1),activate(X2))
activate(n__add(X1,X2)) -> add(activate(X1),activate(X2))
activate(X) -> X
)

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