(VAR X Y Z V2 P V V1 I X1 X2)
(RULES 
active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z)))
active(__(X,nil)) -> mark(X)
active(__(nil,X)) -> mark(X)
active(U11(tt)) -> mark(tt)
active(U21(tt,V2)) -> mark(U22(isList(V2)))
active(U22(tt)) -> mark(tt)
active(U31(tt)) -> mark(tt)
active(U41(tt,V2)) -> mark(U42(isNeList(V2)))
active(U42(tt)) -> mark(tt)
active(U51(tt,V2)) -> mark(U52(isList(V2)))
active(U52(tt)) -> mark(tt)
active(U61(tt)) -> mark(tt)
active(U71(tt,P)) -> mark(U72(isPal(P)))
active(U72(tt)) -> mark(tt)
active(U81(tt)) -> mark(tt)
active(isList(V)) -> mark(U11(isNeList(V)))
active(isList(nil)) -> mark(tt)
active(isList(__(V1,V2))) -> mark(U21(isList(V1),V2))
active(isNeList(V)) -> mark(U31(isQid(V)))
active(isNeList(__(V1,V2))) -> mark(U41(isList(V1),V2))
active(isNeList(__(V1,V2))) -> mark(U51(isNeList(V1),V2))
active(isNePal(V)) -> mark(U61(isQid(V)))
active(isNePal(__(I,__(P,I)))) -> mark(U71(isQid(I),P))
active(isPal(V)) -> mark(U81(isNePal(V)))
active(isPal(nil)) -> mark(tt)
active(isQid(a)) -> mark(tt)
active(isQid(e)) -> mark(tt)
active(isQid(i)) -> mark(tt)
active(isQid(o)) -> mark(tt)
active(isQid(u)) -> mark(tt)
active(__(X1,X2)) -> __(active(X1),X2)
active(__(X1,X2)) -> __(X1,active(X2))
active(U11(X)) -> U11(active(X))
active(U21(X1,X2)) -> U21(active(X1),X2)
active(U22(X)) -> U22(active(X))
active(U31(X)) -> U31(active(X))
active(U41(X1,X2)) -> U41(active(X1),X2)
active(U42(X)) -> U42(active(X))
active(U51(X1,X2)) -> U51(active(X1),X2)
active(U52(X)) -> U52(active(X))
active(U61(X)) -> U61(active(X))
active(U71(X1,X2)) -> U71(active(X1),X2)
active(U72(X)) -> U72(active(X))
active(U81(X)) -> U81(active(X))
__(mark(X1),X2) -> mark(__(X1,X2))
__(X1,mark(X2)) -> mark(__(X1,X2))
U11(mark(X)) -> mark(U11(X))
U21(mark(X1),X2) -> mark(U21(X1,X2))
U22(mark(X)) -> mark(U22(X))
U31(mark(X)) -> mark(U31(X))
U41(mark(X1),X2) -> mark(U41(X1,X2))
U42(mark(X)) -> mark(U42(X))
U51(mark(X1),X2) -> mark(U51(X1,X2))
U52(mark(X)) -> mark(U52(X))
U61(mark(X)) -> mark(U61(X))
U71(mark(X1),X2) -> mark(U71(X1,X2))
U72(mark(X)) -> mark(U72(X))
U81(mark(X)) -> mark(U81(X))
proper(__(X1,X2)) -> __(proper(X1),proper(X2))
proper(nil) -> ok(nil)
proper(U11(X)) -> U11(proper(X))
proper(tt) -> ok(tt)
proper(U21(X1,X2)) -> U21(proper(X1),proper(X2))
proper(U22(X)) -> U22(proper(X))
proper(isList(X)) -> isList(proper(X))
proper(U31(X)) -> U31(proper(X))
proper(U41(X1,X2)) -> U41(proper(X1),proper(X2))
proper(U42(X)) -> U42(proper(X))
proper(isNeList(X)) -> isNeList(proper(X))
proper(U51(X1,X2)) -> U51(proper(X1),proper(X2))
proper(U52(X)) -> U52(proper(X))
proper(U61(X)) -> U61(proper(X))
proper(U71(X1,X2)) -> U71(proper(X1),proper(X2))
proper(U72(X)) -> U72(proper(X))
proper(isPal(X)) -> isPal(proper(X))
proper(U81(X)) -> U81(proper(X))
proper(isQid(X)) -> isQid(proper(X))
proper(isNePal(X)) -> isNePal(proper(X))
proper(a) -> ok(a)
proper(e) -> ok(e)
proper(i) -> ok(i)
proper(o) -> ok(o)
proper(u) -> ok(u)
__(ok(X1),ok(X2)) -> ok(__(X1,X2))
U11(ok(X)) -> ok(U11(X))
U21(ok(X1),ok(X2)) -> ok(U21(X1,X2))
U22(ok(X)) -> ok(U22(X))
isList(ok(X)) -> ok(isList(X))
U31(ok(X)) -> ok(U31(X))
U41(ok(X1),ok(X2)) -> ok(U41(X1,X2))
U42(ok(X)) -> ok(U42(X))
isNeList(ok(X)) -> ok(isNeList(X))
U51(ok(X1),ok(X2)) -> ok(U51(X1,X2))
U52(ok(X)) -> ok(U52(X))
U61(ok(X)) -> ok(U61(X))
U71(ok(X1),ok(X2)) -> ok(U71(X1,X2))
U72(ok(X)) -> ok(U72(X))
isPal(ok(X)) -> ok(isPal(X))
U81(ok(X)) -> ok(U81(X))
isQid(ok(X)) -> ok(isQid(X))
isNePal(ok(X)) -> ok(isNePal(X))
top(mark(X)) -> top(proper(X))
top(ok(X)) -> top(active(X))
)