(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)
mark(__(X1,X2)) -> active(__(mark(X1),mark(X2)))
mark(nil) -> active(nil)
mark(U11(X1,X2)) -> active(U11(mark(X1),X2))
mark(tt) -> active(tt)
mark(U12(X)) -> active(U12(mark(X)))
mark(isNeList(X)) -> active(isNeList(X))
mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
mark(U22(X1,X2)) -> active(U22(mark(X1),X2))
mark(isList(X)) -> active(isList(X))
mark(U23(X)) -> active(U23(mark(X)))
mark(U31(X1,X2)) -> active(U31(mark(X1),X2))
mark(U32(X)) -> active(U32(mark(X)))
mark(isQid(X)) -> active(isQid(X))
mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
mark(U42(X1,X2)) -> active(U42(mark(X1),X2))
mark(U43(X)) -> active(U43(mark(X)))
mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
mark(U52(X1,X2)) -> active(U52(mark(X1),X2))
mark(U53(X)) -> active(U53(mark(X)))
mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
mark(U62(X)) -> active(U62(mark(X)))
mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
mark(U72(X)) -> active(U72(mark(X)))
mark(isNePal(X)) -> active(isNePal(X))
mark(and(X1,X2)) -> active(and(mark(X1),X2))
mark(isPalListKind(X)) -> active(isPalListKind(X))
mark(isPal(X)) -> active(isPal(X))
mark(a) -> active(a)
mark(e) -> active(e)
mark(i) -> active(i)
mark(o) -> active(o)
mark(u) -> active(u)
__(mark(X1),X2) -> __(X1,X2)
__(X1,mark(X2)) -> __(X1,X2)
__(active(X1),X2) -> __(X1,X2)
__(X1,active(X2)) -> __(X1,X2)
U11(mark(X1),X2) -> U11(X1,X2)
U11(X1,mark(X2)) -> U11(X1,X2)
U11(active(X1),X2) -> U11(X1,X2)
U11(X1,active(X2)) -> U11(X1,X2)
U12(mark(X)) -> U12(X)
U12(active(X)) -> U12(X)
isNeList(mark(X)) -> isNeList(X)
isNeList(active(X)) -> isNeList(X)
U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
U21(active(X1),X2,X3) -> U21(X1,X2,X3)
U21(X1,active(X2),X3) -> U21(X1,X2,X3)
U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
U22(mark(X1),X2) -> U22(X1,X2)
U22(X1,mark(X2)) -> U22(X1,X2)
U22(active(X1),X2) -> U22(X1,X2)
U22(X1,active(X2)) -> U22(X1,X2)
isList(mark(X)) -> isList(X)
isList(active(X)) -> isList(X)
U23(mark(X)) -> U23(X)
U23(active(X)) -> U23(X)
U31(mark(X1),X2) -> U31(X1,X2)
U31(X1,mark(X2)) -> U31(X1,X2)
U31(active(X1),X2) -> U31(X1,X2)
U31(X1,active(X2)) -> U31(X1,X2)
U32(mark(X)) -> U32(X)
U32(active(X)) -> U32(X)
isQid(mark(X)) -> isQid(X)
isQid(active(X)) -> isQid(X)
U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
U41(active(X1),X2,X3) -> U41(X1,X2,X3)
U41(X1,active(X2),X3) -> U41(X1,X2,X3)
U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
U42(mark(X1),X2) -> U42(X1,X2)
U42(X1,mark(X2)) -> U42(X1,X2)
U42(active(X1),X2) -> U42(X1,X2)
U42(X1,active(X2)) -> U42(X1,X2)
U43(mark(X)) -> U43(X)
U43(active(X)) -> U43(X)
U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
U51(active(X1),X2,X3) -> U51(X1,X2,X3)
U51(X1,active(X2),X3) -> U51(X1,X2,X3)
U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
U52(mark(X1),X2) -> U52(X1,X2)
U52(X1,mark(X2)) -> U52(X1,X2)
U52(active(X1),X2) -> U52(X1,X2)
U52(X1,active(X2)) -> U52(X1,X2)
U53(mark(X)) -> U53(X)
U53(active(X)) -> U53(X)
U61(mark(X1),X2) -> U61(X1,X2)
U61(X1,mark(X2)) -> U61(X1,X2)
U61(active(X1),X2) -> U61(X1,X2)
U61(X1,active(X2)) -> U61(X1,X2)
U62(mark(X)) -> U62(X)
U62(active(X)) -> U62(X)
U71(mark(X1),X2) -> U71(X1,X2)
U71(X1,mark(X2)) -> U71(X1,X2)
U71(active(X1),X2) -> U71(X1,X2)
U71(X1,active(X2)) -> U71(X1,X2)
U72(mark(X)) -> U72(X)
U72(active(X)) -> U72(X)
isNePal(mark(X)) -> isNePal(X)
isNePal(active(X)) -> isNePal(X)
and(mark(X1),X2) -> and(X1,X2)
and(X1,mark(X2)) -> and(X1,X2)
and(active(X1),X2) -> and(X1,X2)
and(X1,active(X2)) -> and(X1,X2)
isPalListKind(mark(X)) -> isPalListKind(X)
isPalListKind(active(X)) -> isPalListKind(X)
isPal(mark(X)) -> isPal(X)
isPal(active(X)) -> isPal(X)
)