(VAR V2 N XS Y X YS ZS V1 X1 X2) (RULES U101(tt,V2) -> U102(isLNat(activate(V2))) U102(tt) -> tt U11(tt,N,XS) -> U12(isLNat(activate(XS)),activate(N),activate(XS)) U111(tt) -> tt U12(tt,N,XS) -> snd(splitAt(activate(N),activate(XS))) U121(tt) -> tt U131(tt,V2) -> U132(isLNat(activate(V2))) U132(tt) -> tt U141(tt,V2) -> U142(isLNat(activate(V2))) U142(tt) -> tt U151(tt,V2) -> U152(isLNat(activate(V2))) U152(tt) -> tt U161(tt,N) -> cons(activate(N),n__natsFrom(s(activate(N)))) U171(tt,N,XS) -> U172(isLNat(activate(XS)),activate(N),activate(XS)) U172(tt,N,XS) -> head(afterNth(activate(N),activate(XS))) U181(tt,Y) -> U182(isLNat(activate(Y)),activate(Y)) U182(tt,Y) -> activate(Y) U191(tt,XS) -> pair(nil,activate(XS)) U201(tt,N,X,XS) -> U202(isNatural(activate(X)),activate(N),activate(X),activate(XS)) U202(tt,N,X,XS) -> U203(isLNat(activate(XS)),activate(N),activate(X),activate(XS)) U203(tt,N,X,XS) -> U204(splitAt(activate(N),activate(XS)),activate(X)) U204(pair(YS,ZS),X) -> pair(cons(activate(X),YS),ZS) U21(tt,X,Y) -> U22(isLNat(activate(Y)),activate(X)) U211(tt,XS) -> U212(isLNat(activate(XS)),activate(XS)) U212(tt,XS) -> activate(XS) U22(tt,X) -> activate(X) U221(tt,N,XS) -> U222(isLNat(activate(XS)),activate(N),activate(XS)) U222(tt,N,XS) -> fst(splitAt(activate(N),activate(XS))) U31(tt,N,XS) -> U32(isLNat(activate(XS)),activate(N)) U32(tt,N) -> activate(N) U41(tt,V2) -> U42(isLNat(activate(V2))) U42(tt) -> tt U51(tt,V2) -> U52(isLNat(activate(V2))) U52(tt) -> tt U61(tt) -> tt U71(tt) -> tt U81(tt) -> tt U91(tt) -> tt afterNth(N,XS) -> U11(isNatural(N),N,XS) fst(pair(X,Y)) -> U21(isLNat(X),X,Y) head(cons(N,XS)) -> U31(isNatural(N),N,activate(XS)) isLNat(n__nil) -> tt isLNat(n__afterNth(V1,V2)) -> U41(isNatural(activate(V1)),activate(V2)) isLNat(n__cons(V1,V2)) -> U51(isNatural(activate(V1)),activate(V2)) isLNat(n__fst(V1)) -> U61(isPLNat(activate(V1))) isLNat(n__natsFrom(V1)) -> U71(isNatural(activate(V1))) isLNat(n__snd(V1)) -> U81(isPLNat(activate(V1))) isLNat(n__tail(V1)) -> U91(isLNat(activate(V1))) isLNat(n__take(V1,V2)) -> U101(isNatural(activate(V1)),activate(V2)) isNatural(n__0) -> tt isNatural(n__head(V1)) -> U111(isLNat(activate(V1))) isNatural(n__s(V1)) -> U121(isNatural(activate(V1))) isNatural(n__sel(V1,V2)) -> U131(isNatural(activate(V1)),activate(V2)) isPLNat(n__pair(V1,V2)) -> U141(isLNat(activate(V1)),activate(V2)) isPLNat(n__splitAt(V1,V2)) -> U151(isNatural(activate(V1)),activate(V2)) natsFrom(N) -> U161(isNatural(N),N) sel(N,XS) -> U171(isNatural(N),N,XS) snd(pair(X,Y)) -> U181(isLNat(X),Y) splitAt(0,XS) -> U191(isLNat(XS),XS) splitAt(s(N),cons(X,XS)) -> U201(isNatural(N),N,X,activate(XS)) tail(cons(N,XS)) -> U211(isNatural(N),activate(XS)) take(N,XS) -> U221(isNatural(N),N,XS) natsFrom(X) -> n__natsFrom(X) nil -> n__nil afterNth(X1,X2) -> n__afterNth(X1,X2) cons(X1,X2) -> n__cons(X1,X2) fst(X) -> n__fst(X) snd(X) -> n__snd(X) tail(X) -> n__tail(X) take(X1,X2) -> n__take(X1,X2) 0 -> n__0 head(X) -> n__head(X) s(X) -> n__s(X) sel(X1,X2) -> n__sel(X1,X2) pair(X1,X2) -> n__pair(X1,X2) splitAt(X1,X2) -> n__splitAt(X1,X2) activate(n__natsFrom(X)) -> natsFrom(X) activate(n__nil) -> nil activate(n__afterNth(X1,X2)) -> afterNth(X1,X2) activate(n__cons(X1,X2)) -> cons(X1,X2) activate(n__fst(X)) -> fst(X) activate(n__snd(X)) -> snd(X) activate(n__tail(X)) -> tail(X) activate(n__take(X1,X2)) -> take(X1,X2) activate(n__0) -> 0 activate(n__head(X)) -> head(X) activate(n__s(X)) -> s(X) activate(n__sel(X1,X2)) -> sel(X1,X2) activate(n__pair(X1,X2)) -> pair(X1,X2) activate(n__splitAt(X1,X2)) -> splitAt(X1,X2) activate(X) -> X )