/home/nowonder/forschung/aprove/TPDB05/TRS/TRCSR/Ex4_Zan97_C.trs

The program

(VAR X Y Z X1 X2)
(RULES 
active(f(X)) -> mark(cons(X,f(g(X))))
active(g(0)) -> mark(s(0))
active(g(s(X))) -> mark(s(s(g(X))))
active(sel(0,cons(X,Y))) -> mark(X)
active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z))
active(f(X)) -> f(active(X))
active(cons(X1,X2)) -> cons(active(X1),X2)
active(g(X)) -> g(active(X))
active(s(X)) -> s(active(X))
active(sel(X1,X2)) -> sel(active(X1),X2)
active(sel(X1,X2)) -> sel(X1,active(X2))
f(mark(X)) -> mark(f(X))
cons(mark(X1),X2) -> mark(cons(X1,X2))
g(mark(X)) -> mark(g(X))
s(mark(X)) -> mark(s(X))
sel(mark(X1),X2) -> mark(sel(X1,X2))
sel(X1,mark(X2)) -> mark(sel(X1,X2))
proper(f(X)) -> f(proper(X))
proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
proper(g(X)) -> g(proper(X))
proper(0) -> ok(0)
proper(s(X)) -> s(proper(X))
proper(sel(X1,X2)) -> sel(proper(X1),proper(X2))
f(ok(X)) -> ok(f(X))
cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
g(ok(X)) -> ok(g(X))
s(ok(X)) -> ok(s(X))
sel(ok(X1),ok(X2)) -> ok(sel(X1,X2))
top(mark(X)) -> top(proper(X))
top(ok(X)) -> top(active(X))
)

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