/home/nowonder/forschung/aprove/TPDB05/TRS/TRCSR/ExIntrod_Zan97_Z.trs

The program

(VAR X Y X1 X2)
(RULES 
fact(X) -> if(zero(X),n__s(0),n__prod(X,fact(p(X))))
add(0,X) -> X
add(s(X),Y) -> s(add(X,Y))
prod(0,X) -> 0
prod(s(X),Y) -> add(Y,prod(X,Y))
if(true,X,Y) -> activate(X)
if(false,X,Y) -> activate(Y)
zero(0) -> true
zero(s(X)) -> false
p(s(X)) -> X
s(X) -> n__s(X)
prod(X1,X2) -> n__prod(X1,X2)
activate(n__s(X)) -> s(X)
activate(n__prod(X1,X2)) -> prod(X1,X2)
activate(X) -> X
)

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