/home/nowonder/forschung/aprove/TPDB05/TRS/TRCSR/Ex1_Luc02b_GM.trs

The program

(VAR X Z Y X1 X2)
(RULES 
a__from(X) -> cons(mark(X),from(s(X)))
a__first(0,Z) -> nil
a__first(s(X),cons(Y,Z)) -> cons(mark(Y),first(X,Z))
a__sel(0,cons(X,Z)) -> mark(X)
a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z))
mark(from(X)) -> a__from(mark(X))
mark(first(X1,X2)) -> a__first(mark(X1),mark(X2))
mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
mark(cons(X1,X2)) -> cons(mark(X1),X2)
mark(s(X)) -> s(mark(X))
mark(0) -> 0
mark(nil) -> nil
a__from(X) -> from(X)
a__first(X1,X2) -> first(X1,X2)
a__sel(X1,X2) -> sel(X1,X2)
)

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