(VAR X Y Z V V1 V2 I P X1 X2)
(RULES 
active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z)))
active(__(X,nil)) -> mark(X)
active(__(nil,X)) -> mark(X)
active(and(tt,X)) -> mark(X)
active(isList(V)) -> mark(isNeList(V))
active(isList(nil)) -> mark(tt)
active(isList(__(V1,V2))) -> mark(and(isList(V1),isList(V2)))
active(isNeList(V)) -> mark(isQid(V))
active(isNeList(__(V1,V2))) -> mark(and(isList(V1),isNeList(V2)))
active(isNeList(__(V1,V2))) -> mark(and(isNeList(V1),isList(V2)))
active(isNePal(V)) -> mark(isQid(V))
active(isNePal(__(I,__(P,I)))) -> mark(and(isQid(I),isPal(P)))
active(isPal(V)) -> mark(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(and(X1,X2)) -> and(active(X1),X2)
__(mark(X1),X2) -> mark(__(X1,X2))
__(X1,mark(X2)) -> mark(__(X1,X2))
and(mark(X1),X2) -> mark(and(X1,X2))
proper(__(X1,X2)) -> __(proper(X1),proper(X2))
proper(nil) -> ok(nil)
proper(and(X1,X2)) -> and(proper(X1),proper(X2))
proper(tt) -> ok(tt)
proper(isList(X)) -> isList(proper(X))
proper(isNeList(X)) -> isNeList(proper(X))
proper(isQid(X)) -> isQid(proper(X))
proper(isNePal(X)) -> isNePal(proper(X))
proper(isPal(X)) -> isPal(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))
and(ok(X1),ok(X2)) -> ok(and(X1,X2))
isList(ok(X)) -> ok(isList(X))
isNeList(ok(X)) -> ok(isNeList(X))
isQid(ok(X)) -> ok(isQid(X))
isNePal(ok(X)) -> ok(isNePal(X))
isPal(ok(X)) -> ok(isPal(X))
top(mark(X)) -> top(proper(X))
top(ok(X)) -> top(active(X))
)
(STRATEGY INNERMOST)