(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(isPalListKind(V),V))
active(U12(tt,V)) -> mark(U13(isNeList(V)))
active(U13(tt)) -> mark(tt)
active(U21(tt,V1,V2)) -> mark(U22(isPalListKind(V1),V1,V2))
active(U22(tt,V1,V2)) -> mark(U23(isPalListKind(V2),V1,V2))
active(U23(tt,V1,V2)) -> mark(U24(isPalListKind(V2),V1,V2))
active(U24(tt,V1,V2)) -> mark(U25(isList(V1),V2))
active(U25(tt,V2)) -> mark(U26(isList(V2)))
active(U26(tt)) -> mark(tt)
active(U31(tt,V)) -> mark(U32(isPalListKind(V),V))
active(U32(tt,V)) -> mark(U33(isQid(V)))
active(U33(tt)) -> mark(tt)
active(U41(tt,V1,V2)) -> mark(U42(isPalListKind(V1),V1,V2))
active(U42(tt,V1,V2)) -> mark(U43(isPalListKind(V2),V1,V2))
active(U43(tt,V1,V2)) -> mark(U44(isPalListKind(V2),V1,V2))
active(U44(tt,V1,V2)) -> mark(U45(isList(V1),V2))
active(U45(tt,V2)) -> mark(U46(isNeList(V2)))
active(U46(tt)) -> mark(tt)
active(U51(tt,V1,V2)) -> mark(U52(isPalListKind(V1),V1,V2))
active(U52(tt,V1,V2)) -> mark(U53(isPalListKind(V2),V1,V2))
active(U53(tt,V1,V2)) -> mark(U54(isPalListKind(V2),V1,V2))
active(U54(tt,V1,V2)) -> mark(U55(isNeList(V1),V2))
active(U55(tt,V2)) -> mark(U56(isList(V2)))
active(U56(tt)) -> mark(tt)
active(U61(tt,V)) -> mark(U62(isPalListKind(V),V))
active(U62(tt,V)) -> mark(U63(isQid(V)))
active(U63(tt)) -> mark(tt)
active(U71(tt,I,P)) -> mark(U72(isPalListKind(I),P))
active(U72(tt,P)) -> mark(U73(isPal(P),P))
active(U73(tt,P)) -> mark(U74(isPalListKind(P)))
active(U74(tt)) -> mark(tt)
active(U81(tt,V)) -> mark(U82(isPalListKind(V),V))
active(U82(tt,V)) -> mark(U83(isNePal(V)))
active(U83(tt)) -> mark(tt)
active(U91(tt,V2)) -> mark(U92(isPalListKind(V2)))
active(U92(tt)) -> mark(tt)
active(isList(V)) -> mark(U11(isPalListKind(V),V))
active(isList(nil)) -> mark(tt)
active(isList(__(V1,V2))) -> mark(U21(isPalListKind(V1),V1,V2))
active(isNeList(V)) -> mark(U31(isPalListKind(V),V))
active(isNeList(__(V1,V2))) -> mark(U41(isPalListKind(V1),V1,V2))
active(isNeList(__(V1,V2))) -> mark(U51(isPalListKind(V1),V1,V2))
active(isNePal(V)) -> mark(U61(isPalListKind(V),V))
active(isNePal(__(I,__(P,I)))) -> mark(U71(isQid(I),I,P))
active(isPal(V)) -> mark(U81(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(U91(isPalListKind(V1),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(X1,X2)) -> active(U12(mark(X1),X2))
mark(isPalListKind(X)) -> active(isPalListKind(X))
mark(U13(X)) -> active(U13(mark(X)))
mark(isNeList(X)) -> active(isNeList(X))
mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
mark(U24(X1,X2,X3)) -> active(U24(mark(X1),X2,X3))
mark(U25(X1,X2)) -> active(U25(mark(X1),X2))
mark(isList(X)) -> active(isList(X))
mark(U26(X)) -> active(U26(mark(X)))
mark(U31(X1,X2)) -> active(U31(mark(X1),X2))
mark(U32(X1,X2)) -> active(U32(mark(X1),X2))
mark(U33(X)) -> active(U33(mark(X)))
mark(isQid(X)) -> active(isQid(X))
mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
mark(U46(X)) -> active(U46(mark(X)))
mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
mark(U56(X)) -> active(U56(mark(X)))
mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
mark(U63(X)) -> active(U63(mark(X)))
mark(U71(X1,X2,X3)) -> active(U71(mark(X1),X2,X3))
mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
mark(U73(X1,X2)) -> active(U73(mark(X1),X2))
mark(isPal(X)) -> active(isPal(X))
mark(U74(X)) -> active(U74(mark(X)))
mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
mark(U83(X)) -> active(U83(mark(X)))
mark(isNePal(X)) -> active(isNePal(X))
mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
mark(U92(X)) -> active(U92(mark(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(X1),X2) -> U12(X1,X2)
U12(X1,mark(X2)) -> U12(X1,X2)
U12(active(X1),X2) -> U12(X1,X2)
U12(X1,active(X2)) -> U12(X1,X2)
isPalListKind(mark(X)) -> isPalListKind(X)
isPalListKind(active(X)) -> isPalListKind(X)
U13(mark(X)) -> U13(X)
U13(active(X)) -> U13(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,X3) -> U22(X1,X2,X3)
U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
U22(active(X1),X2,X3) -> U22(X1,X2,X3)
U22(X1,active(X2),X3) -> U22(X1,X2,X3)
U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
U23(active(X1),X2,X3) -> U23(X1,X2,X3)
U23(X1,active(X2),X3) -> U23(X1,X2,X3)
U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
U24(mark(X1),X2,X3) -> U24(X1,X2,X3)
U24(X1,mark(X2),X3) -> U24(X1,X2,X3)
U24(X1,X2,mark(X3)) -> U24(X1,X2,X3)
U24(active(X1),X2,X3) -> U24(X1,X2,X3)
U24(X1,active(X2),X3) -> U24(X1,X2,X3)
U24(X1,X2,active(X3)) -> U24(X1,X2,X3)
U25(mark(X1),X2) -> U25(X1,X2)
U25(X1,mark(X2)) -> U25(X1,X2)
U25(active(X1),X2) -> U25(X1,X2)
U25(X1,active(X2)) -> U25(X1,X2)
isList(mark(X)) -> isList(X)
isList(active(X)) -> isList(X)
U26(mark(X)) -> U26(X)
U26(active(X)) -> U26(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(X1),X2) -> U32(X1,X2)
U32(X1,mark(X2)) -> U32(X1,X2)
U32(active(X1),X2) -> U32(X1,X2)
U32(X1,active(X2)) -> U32(X1,X2)
U33(mark(X)) -> U33(X)
U33(active(X)) -> U33(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,X3) -> U42(X1,X2,X3)
U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
U42(active(X1),X2,X3) -> U42(X1,X2,X3)
U42(X1,active(X2),X3) -> U42(X1,X2,X3)
U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
U43(active(X1),X2,X3) -> U43(X1,X2,X3)
U43(X1,active(X2),X3) -> U43(X1,X2,X3)
U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
U44(active(X1),X2,X3) -> U44(X1,X2,X3)
U44(X1,active(X2),X3) -> U44(X1,X2,X3)
U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
U45(mark(X1),X2) -> U45(X1,X2)
U45(X1,mark(X2)) -> U45(X1,X2)
U45(active(X1),X2) -> U45(X1,X2)
U45(X1,active(X2)) -> U45(X1,X2)
U46(mark(X)) -> U46(X)
U46(active(X)) -> U46(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,X3) -> U52(X1,X2,X3)
U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
U52(active(X1),X2,X3) -> U52(X1,X2,X3)
U52(X1,active(X2),X3) -> U52(X1,X2,X3)
U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
U53(active(X1),X2,X3) -> U53(X1,X2,X3)
U53(X1,active(X2),X3) -> U53(X1,X2,X3)
U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
U54(active(X1),X2,X3) -> U54(X1,X2,X3)
U54(X1,active(X2),X3) -> U54(X1,X2,X3)
U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
U55(mark(X1),X2) -> U55(X1,X2)
U55(X1,mark(X2)) -> U55(X1,X2)
U55(active(X1),X2) -> U55(X1,X2)
U55(X1,active(X2)) -> U55(X1,X2)
U56(mark(X)) -> U56(X)
U56(active(X)) -> U56(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(X1),X2) -> U62(X1,X2)
U62(X1,mark(X2)) -> U62(X1,X2)
U62(active(X1),X2) -> U62(X1,X2)
U62(X1,active(X2)) -> U62(X1,X2)
U63(mark(X)) -> U63(X)
U63(active(X)) -> U63(X)
U71(mark(X1),X2,X3) -> U71(X1,X2,X3)
U71(X1,mark(X2),X3) -> U71(X1,X2,X3)
U71(X1,X2,mark(X3)) -> U71(X1,X2,X3)
U71(active(X1),X2,X3) -> U71(X1,X2,X3)
U71(X1,active(X2),X3) -> U71(X1,X2,X3)
U71(X1,X2,active(X3)) -> U71(X1,X2,X3)
U72(mark(X1),X2) -> U72(X1,X2)
U72(X1,mark(X2)) -> U72(X1,X2)
U72(active(X1),X2) -> U72(X1,X2)
U72(X1,active(X2)) -> U72(X1,X2)
U73(mark(X1),X2) -> U73(X1,X2)
U73(X1,mark(X2)) -> U73(X1,X2)
U73(active(X1),X2) -> U73(X1,X2)
U73(X1,active(X2)) -> U73(X1,X2)
isPal(mark(X)) -> isPal(X)
isPal(active(X)) -> isPal(X)
U74(mark(X)) -> U74(X)
U74(active(X)) -> U74(X)
U81(mark(X1),X2) -> U81(X1,X2)
U81(X1,mark(X2)) -> U81(X1,X2)
U81(active(X1),X2) -> U81(X1,X2)
U81(X1,active(X2)) -> U81(X1,X2)
U82(mark(X1),X2) -> U82(X1,X2)
U82(X1,mark(X2)) -> U82(X1,X2)
U82(active(X1),X2) -> U82(X1,X2)
U82(X1,active(X2)) -> U82(X1,X2)
U83(mark(X)) -> U83(X)
U83(active(X)) -> U83(X)
isNePal(mark(X)) -> isNePal(X)
isNePal(active(X)) -> isNePal(X)
U91(mark(X1),X2) -> U91(X1,X2)
U91(X1,mark(X2)) -> U91(X1,X2)
U91(active(X1),X2) -> U91(X1,X2)
U91(X1,active(X2)) -> U91(X1,X2)
U92(mark(X)) -> U92(X)
U92(active(X)) -> U92(X)
)
(STRATEGY INNERMOST)