(VAR X Y Z V V1 V2 I P X1 X2 X3)
(RULES 
active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z)))
active(__(X,nil)) -> mark(X)
active(__(nil,X)) -> mark(X)
active(U11(tt,V)) -> mark(U12(isNeList(V)))
active(U12(tt)) -> mark(tt)
active(U21(tt,V1,V2)) -> mark(U22(isList(V1),V2))
active(U22(tt,V2)) -> mark(U23(isList(V2)))
active(U23(tt)) -> mark(tt)
active(U31(tt,V)) -> mark(U32(isQid(V)))
active(U32(tt)) -> mark(tt)
active(U41(tt,V1,V2)) -> mark(U42(isList(V1),V2))
active(U42(tt,V2)) -> mark(U43(isNeList(V2)))
active(U43(tt)) -> mark(tt)
active(U51(tt,V1,V2)) -> mark(U52(isNeList(V1),V2))
active(U52(tt,V2)) -> mark(U53(isList(V2)))
active(U53(tt)) -> mark(tt)
active(U61(tt,V)) -> mark(U62(isQid(V)))
active(U62(tt)) -> mark(tt)
active(U71(tt,V)) -> mark(U72(isNePal(V)))
active(U72(tt)) -> mark(tt)
active(and(tt,X)) -> mark(X)
active(isList(V)) -> mark(U11(isPalListKind(V),V))
active(isList(nil)) -> mark(tt)
active(isList(__(V1,V2))) -> mark(U21(and(isPalListKind(V1),isPalListKind(V2)),V1,V2))
active(isNeList(V)) -> mark(U31(isPalListKind(V),V))
active(isNeList(__(V1,V2))) -> mark(U41(and(isPalListKind(V1),isPalListKind(V2)),V1,V2))
active(isNeList(__(V1,V2))) -> mark(U51(and(isPalListKind(V1),isPalListKind(V2)),V1,V2))
active(isNePal(V)) -> mark(U61(isPalListKind(V),V))
active(isNePal(__(I,__(P,I)))) -> mark(and(and(isQid(I),isPalListKind(I)),and(isPal(P),isPalListKind(P))))
active(isPal(V)) -> mark(U71(isPalListKind(V),V))
active(isPal(nil)) -> mark(tt)
active(isPalListKind(a)) -> mark(tt)
active(isPalListKind(e)) -> mark(tt)
active(isPalListKind(i)) -> mark(tt)
active(isPalListKind(nil)) -> mark(tt)
active(isPalListKind(o)) -> mark(tt)
active(isPalListKind(u)) -> mark(tt)
active(isPalListKind(__(V1,V2))) -> mark(and(isPalListKind(V1),isPalListKind(V2)))
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(X1,X2)) -> U11(active(X1),X2)
active(U12(X)) -> U12(active(X))
active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
active(U22(X1,X2)) -> U22(active(X1),X2)
active(U23(X)) -> U23(active(X))
active(U31(X1,X2)) -> U31(active(X1),X2)
active(U32(X)) -> U32(active(X))
active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
active(U42(X1,X2)) -> U42(active(X1),X2)
active(U43(X)) -> U43(active(X))
active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
active(U52(X1,X2)) -> U52(active(X1),X2)
active(U53(X)) -> U53(active(X))
active(U61(X1,X2)) -> U61(active(X1),X2)
active(U62(X)) -> U62(active(X))
active(U71(X1,X2)) -> U71(active(X1),X2)
active(U72(X)) -> U72(active(X))
active(and(X1,X2)) -> and(active(X1),X2)
__(mark(X1),X2) -> mark(__(X1,X2))
__(X1,mark(X2)) -> mark(__(X1,X2))
U11(mark(X1),X2) -> mark(U11(X1,X2))
U12(mark(X)) -> mark(U12(X))
U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
U22(mark(X1),X2) -> mark(U22(X1,X2))
U23(mark(X)) -> mark(U23(X))
U31(mark(X1),X2) -> mark(U31(X1,X2))
U32(mark(X)) -> mark(U32(X))
U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
U42(mark(X1),X2) -> mark(U42(X1,X2))
U43(mark(X)) -> mark(U43(X))
U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
U52(mark(X1),X2) -> mark(U52(X1,X2))
U53(mark(X)) -> mark(U53(X))
U61(mark(X1),X2) -> mark(U61(X1,X2))
U62(mark(X)) -> mark(U62(X))
U71(mark(X1),X2) -> mark(U71(X1,X2))
U72(mark(X)) -> mark(U72(X))
and(mark(X1),X2) -> mark(and(X1,X2))
proper(__(X1,X2)) -> __(proper(X1),proper(X2))
proper(nil) -> ok(nil)
proper(U11(X1,X2)) -> U11(proper(X1),proper(X2))
proper(tt) -> ok(tt)
proper(U12(X)) -> U12(proper(X))
proper(isNeList(X)) -> isNeList(proper(X))
proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
proper(U22(X1,X2)) -> U22(proper(X1),proper(X2))
proper(isList(X)) -> isList(proper(X))
proper(U23(X)) -> U23(proper(X))
proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
proper(U32(X)) -> U32(proper(X))
proper(isQid(X)) -> isQid(proper(X))
proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
proper(U42(X1,X2)) -> U42(proper(X1),proper(X2))
proper(U43(X)) -> U43(proper(X))
proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
proper(U52(X1,X2)) -> U52(proper(X1),proper(X2))
proper(U53(X)) -> U53(proper(X))
proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
proper(U62(X)) -> U62(proper(X))
proper(U71(X1,X2)) -> U71(proper(X1),proper(X2))
proper(U72(X)) -> U72(proper(X))
proper(isNePal(X)) -> isNePal(proper(X))
proper(and(X1,X2)) -> and(proper(X1),proper(X2))
proper(isPalListKind(X)) -> isPalListKind(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))
U11(ok(X1),ok(X2)) -> ok(U11(X1,X2))
U12(ok(X)) -> ok(U12(X))
isNeList(ok(X)) -> ok(isNeList(X))
U21(ok(X1),ok(X2),ok(X3)) -> ok(U21(X1,X2,X3))
U22(ok(X1),ok(X2)) -> ok(U22(X1,X2))
isList(ok(X)) -> ok(isList(X))
U23(ok(X)) -> ok(U23(X))
U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
U32(ok(X)) -> ok(U32(X))
isQid(ok(X)) -> ok(isQid(X))
U41(ok(X1),ok(X2),ok(X3)) -> ok(U41(X1,X2,X3))
U42(ok(X1),ok(X2)) -> ok(U42(X1,X2))
U43(ok(X)) -> ok(U43(X))
U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
U52(ok(X1),ok(X2)) -> ok(U52(X1,X2))
U53(ok(X)) -> ok(U53(X))
U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
U62(ok(X)) -> ok(U62(X))
U71(ok(X1),ok(X2)) -> ok(U71(X1,X2))
U72(ok(X)) -> ok(U72(X))
isNePal(ok(X)) -> ok(isNePal(X))
and(ok(X1),ok(X2)) -> ok(and(X1,X2))
isPalListKind(ok(X)) -> ok(isPalListKind(X))
isPal(ok(X)) -> ok(isPal(X))
top(mark(X)) -> top(proper(X))
top(ok(X)) -> top(active(X))
)
(STRATEGY INNERMOST)