MAYBE

Problem:
 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())
 active(__(X1,X2)) -> __(active(X1),X2)
 active(__(X1,X2)) -> __(X1,active(X2))
 active(U11(X1,X2)) -> U11(active(X1),X2)
 active(U12(X1,X2)) -> U12(active(X1),X2)
 active(U13(X)) -> U13(active(X))
 active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
 active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
 active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
 active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
 active(U25(X1,X2)) -> U25(active(X1),X2)
 active(U26(X)) -> U26(active(X))
 active(U31(X1,X2)) -> U31(active(X1),X2)
 active(U32(X1,X2)) -> U32(active(X1),X2)
 active(U33(X)) -> U33(active(X))
 active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
 active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
 active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
 active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
 active(U45(X1,X2)) -> U45(active(X1),X2)
 active(U46(X)) -> U46(active(X))
 active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
 active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
 active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
 active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
 active(U55(X1,X2)) -> U55(active(X1),X2)
 active(U56(X)) -> U56(active(X))
 active(U61(X1,X2)) -> U61(active(X1),X2)
 active(U62(X1,X2)) -> U62(active(X1),X2)
 active(U63(X)) -> U63(active(X))
 active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
 active(U72(X1,X2)) -> U72(active(X1),X2)
 active(U73(X1,X2)) -> U73(active(X1),X2)
 active(U74(X)) -> U74(active(X))
 active(U81(X1,X2)) -> U81(active(X1),X2)
 active(U82(X1,X2)) -> U82(active(X1),X2)
 active(U83(X)) -> U83(active(X))
 active(U91(X1,X2)) -> U91(active(X1),X2)
 active(U92(X)) -> U92(active(X))
 __(mark(X1),X2) -> mark(__(X1,X2))
 __(X1,mark(X2)) -> mark(__(X1,X2))
 U11(mark(X1),X2) -> mark(U11(X1,X2))
 U12(mark(X1),X2) -> mark(U12(X1,X2))
 U13(mark(X)) -> mark(U13(X))
 U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
 U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
 U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
 U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
 U25(mark(X1),X2) -> mark(U25(X1,X2))
 U26(mark(X)) -> mark(U26(X))
 U31(mark(X1),X2) -> mark(U31(X1,X2))
 U32(mark(X1),X2) -> mark(U32(X1,X2))
 U33(mark(X)) -> mark(U33(X))
 U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
 U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
 U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
 U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
 U45(mark(X1),X2) -> mark(U45(X1,X2))
 U46(mark(X)) -> mark(U46(X))
 U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
 U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
 U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
 U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
 U55(mark(X1),X2) -> mark(U55(X1,X2))
 U56(mark(X)) -> mark(U56(X))
 U61(mark(X1),X2) -> mark(U61(X1,X2))
 U62(mark(X1),X2) -> mark(U62(X1,X2))
 U63(mark(X)) -> mark(U63(X))
 U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
 U72(mark(X1),X2) -> mark(U72(X1,X2))
 U73(mark(X1),X2) -> mark(U73(X1,X2))
 U74(mark(X)) -> mark(U74(X))
 U81(mark(X1),X2) -> mark(U81(X1,X2))
 U82(mark(X1),X2) -> mark(U82(X1,X2))
 U83(mark(X)) -> mark(U83(X))
 U91(mark(X1),X2) -> mark(U91(X1,X2))
 U92(mark(X)) -> mark(U92(X))
 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(X1,X2)) -> U12(proper(X1),proper(X2))
 proper(isPalListKind(X)) -> isPalListKind(proper(X))
 proper(U13(X)) -> U13(proper(X))
 proper(isNeList(X)) -> isNeList(proper(X))
 proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
 proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
 proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
 proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
 proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
 proper(isList(X)) -> isList(proper(X))
 proper(U26(X)) -> U26(proper(X))
 proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
 proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
 proper(U33(X)) -> U33(proper(X))
 proper(isQid(X)) -> isQid(proper(X))
 proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
 proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
 proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
 proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
 proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
 proper(U46(X)) -> U46(proper(X))
 proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
 proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
 proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
 proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
 proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
 proper(U56(X)) -> U56(proper(X))
 proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
 proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
 proper(U63(X)) -> U63(proper(X))
 proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
 proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
 proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
 proper(isPal(X)) -> isPal(proper(X))
 proper(U74(X)) -> U74(proper(X))
 proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
 proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
 proper(U83(X)) -> U83(proper(X))
 proper(isNePal(X)) -> isNePal(proper(X))
 proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
 proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
 isPalListKind(ok(X)) -> ok(isPalListKind(X))
 U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
 U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
 U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
 U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
 isList(ok(X)) -> ok(isList(X))
 U26(ok(X)) -> ok(U26(X))
 U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
 U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
 U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
 U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
 U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
 U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
 U46(ok(X)) -> ok(U46(X))
 U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
 U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
 U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
 U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
 U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
 U56(ok(X)) -> ok(U56(X))
 U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
 U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
 U63(ok(X)) -> ok(U63(X))
 U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
 U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
 U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
 isPal(ok(X)) -> ok(isPal(X))
 U74(ok(X)) -> ok(U74(X))
 U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
 U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
 U83(ok(X)) -> ok(U83(X))
 isNePal(ok(X)) -> ok(isNePal(X))
 U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
 U92(ok(X)) -> ok(U92(X))
 top(mark(X)) -> top(proper(X))
 top(ok(X)) -> top(active(X))

Proof:
 DP Processor:
  DPs:
   active#(__(__(X,Y),Z)) -> __#(Y,Z)
   active#(__(__(X,Y),Z)) -> __#(X,__(Y,Z))
   active#(U11(tt(),V)) -> isPalListKind#(V)
   active#(U11(tt(),V)) -> U12#(isPalListKind(V),V)
   active#(U12(tt(),V)) -> isNeList#(V)
   active#(U12(tt(),V)) -> U13#(isNeList(V))
   active#(U21(tt(),V1,V2)) -> isPalListKind#(V1)
   active#(U21(tt(),V1,V2)) -> U22#(isPalListKind(V1),V1,V2)
   active#(U22(tt(),V1,V2)) -> isPalListKind#(V2)
   active#(U22(tt(),V1,V2)) -> U23#(isPalListKind(V2),V1,V2)
   active#(U23(tt(),V1,V2)) -> isPalListKind#(V2)
   active#(U23(tt(),V1,V2)) -> U24#(isPalListKind(V2),V1,V2)
   active#(U24(tt(),V1,V2)) -> isList#(V1)
   active#(U24(tt(),V1,V2)) -> U25#(isList(V1),V2)
   active#(U25(tt(),V2)) -> isList#(V2)
   active#(U25(tt(),V2)) -> U26#(isList(V2))
   active#(U31(tt(),V)) -> isPalListKind#(V)
   active#(U31(tt(),V)) -> U32#(isPalListKind(V),V)
   active#(U32(tt(),V)) -> isQid#(V)
   active#(U32(tt(),V)) -> U33#(isQid(V))
   active#(U41(tt(),V1,V2)) -> isPalListKind#(V1)
   active#(U41(tt(),V1,V2)) -> U42#(isPalListKind(V1),V1,V2)
   active#(U42(tt(),V1,V2)) -> isPalListKind#(V2)
   active#(U42(tt(),V1,V2)) -> U43#(isPalListKind(V2),V1,V2)
   active#(U43(tt(),V1,V2)) -> isPalListKind#(V2)
   active#(U43(tt(),V1,V2)) -> U44#(isPalListKind(V2),V1,V2)
   active#(U44(tt(),V1,V2)) -> isList#(V1)
   active#(U44(tt(),V1,V2)) -> U45#(isList(V1),V2)
   active#(U45(tt(),V2)) -> isNeList#(V2)
   active#(U45(tt(),V2)) -> U46#(isNeList(V2))
   active#(U51(tt(),V1,V2)) -> isPalListKind#(V1)
   active#(U51(tt(),V1,V2)) -> U52#(isPalListKind(V1),V1,V2)
   active#(U52(tt(),V1,V2)) -> isPalListKind#(V2)
   active#(U52(tt(),V1,V2)) -> U53#(isPalListKind(V2),V1,V2)
   active#(U53(tt(),V1,V2)) -> isPalListKind#(V2)
   active#(U53(tt(),V1,V2)) -> U54#(isPalListKind(V2),V1,V2)
   active#(U54(tt(),V1,V2)) -> isNeList#(V1)
   active#(U54(tt(),V1,V2)) -> U55#(isNeList(V1),V2)
   active#(U55(tt(),V2)) -> isList#(V2)
   active#(U55(tt(),V2)) -> U56#(isList(V2))
   active#(U61(tt(),V)) -> isPalListKind#(V)
   active#(U61(tt(),V)) -> U62#(isPalListKind(V),V)
   active#(U62(tt(),V)) -> isQid#(V)
   active#(U62(tt(),V)) -> U63#(isQid(V))
   active#(U71(tt(),I,P)) -> isPalListKind#(I)
   active#(U71(tt(),I,P)) -> U72#(isPalListKind(I),P)
   active#(U72(tt(),P)) -> isPal#(P)
   active#(U72(tt(),P)) -> U73#(isPal(P),P)
   active#(U73(tt(),P)) -> isPalListKind#(P)
   active#(U73(tt(),P)) -> U74#(isPalListKind(P))
   active#(U81(tt(),V)) -> isPalListKind#(V)
   active#(U81(tt(),V)) -> U82#(isPalListKind(V),V)
   active#(U82(tt(),V)) -> isNePal#(V)
   active#(U82(tt(),V)) -> U83#(isNePal(V))
   active#(U91(tt(),V2)) -> isPalListKind#(V2)
   active#(U91(tt(),V2)) -> U92#(isPalListKind(V2))
   active#(isList(V)) -> isPalListKind#(V)
   active#(isList(V)) -> U11#(isPalListKind(V),V)
   active#(isList(__(V1,V2))) -> isPalListKind#(V1)
   active#(isList(__(V1,V2))) -> U21#(isPalListKind(V1),V1,V2)
   active#(isNeList(V)) -> isPalListKind#(V)
   active#(isNeList(V)) -> U31#(isPalListKind(V),V)
   active#(isNeList(__(V1,V2))) -> isPalListKind#(V1)
   active#(isNeList(__(V1,V2))) -> U41#(isPalListKind(V1),V1,V2)
   active#(isNeList(__(V1,V2))) -> U51#(isPalListKind(V1),V1,V2)
   active#(isNePal(V)) -> isPalListKind#(V)
   active#(isNePal(V)) -> U61#(isPalListKind(V),V)
   active#(isNePal(__(I,__(P,I)))) -> isQid#(I)
   active#(isNePal(__(I,__(P,I)))) -> U71#(isQid(I),I,P)
   active#(isPal(V)) -> isPalListKind#(V)
   active#(isPal(V)) -> U81#(isPalListKind(V),V)
   active#(isPalListKind(__(V1,V2))) -> isPalListKind#(V1)
   active#(isPalListKind(__(V1,V2))) -> U91#(isPalListKind(V1),V2)
   active#(__(X1,X2)) -> active#(X1)
   active#(__(X1,X2)) -> __#(active(X1),X2)
   active#(__(X1,X2)) -> active#(X2)
   active#(__(X1,X2)) -> __#(X1,active(X2))
   active#(U11(X1,X2)) -> active#(X1)
   active#(U11(X1,X2)) -> U11#(active(X1),X2)
   active#(U12(X1,X2)) -> active#(X1)
   active#(U12(X1,X2)) -> U12#(active(X1),X2)
   active#(U13(X)) -> active#(X)
   active#(U13(X)) -> U13#(active(X))
   active#(U21(X1,X2,X3)) -> active#(X1)
   active#(U21(X1,X2,X3)) -> U21#(active(X1),X2,X3)
   active#(U22(X1,X2,X3)) -> active#(X1)
   active#(U22(X1,X2,X3)) -> U22#(active(X1),X2,X3)
   active#(U23(X1,X2,X3)) -> active#(X1)
   active#(U23(X1,X2,X3)) -> U23#(active(X1),X2,X3)
   active#(U24(X1,X2,X3)) -> active#(X1)
   active#(U24(X1,X2,X3)) -> U24#(active(X1),X2,X3)
   active#(U25(X1,X2)) -> active#(X1)
   active#(U25(X1,X2)) -> U25#(active(X1),X2)
   active#(U26(X)) -> active#(X)
   active#(U26(X)) -> U26#(active(X))
   active#(U31(X1,X2)) -> active#(X1)
   active#(U31(X1,X2)) -> U31#(active(X1),X2)
   active#(U32(X1,X2)) -> active#(X1)
   active#(U32(X1,X2)) -> U32#(active(X1),X2)
   active#(U33(X)) -> active#(X)
   active#(U33(X)) -> U33#(active(X))
   active#(U41(X1,X2,X3)) -> active#(X1)
   active#(U41(X1,X2,X3)) -> U41#(active(X1),X2,X3)
   active#(U42(X1,X2,X3)) -> active#(X1)
   active#(U42(X1,X2,X3)) -> U42#(active(X1),X2,X3)
   active#(U43(X1,X2,X3)) -> active#(X1)
   active#(U43(X1,X2,X3)) -> U43#(active(X1),X2,X3)
   active#(U44(X1,X2,X3)) -> active#(X1)
   active#(U44(X1,X2,X3)) -> U44#(active(X1),X2,X3)
   active#(U45(X1,X2)) -> active#(X1)
   active#(U45(X1,X2)) -> U45#(active(X1),X2)
   active#(U46(X)) -> active#(X)
   active#(U46(X)) -> U46#(active(X))
   active#(U51(X1,X2,X3)) -> active#(X1)
   active#(U51(X1,X2,X3)) -> U51#(active(X1),X2,X3)
   active#(U52(X1,X2,X3)) -> active#(X1)
   active#(U52(X1,X2,X3)) -> U52#(active(X1),X2,X3)
   active#(U53(X1,X2,X3)) -> active#(X1)
   active#(U53(X1,X2,X3)) -> U53#(active(X1),X2,X3)
   active#(U54(X1,X2,X3)) -> active#(X1)
   active#(U54(X1,X2,X3)) -> U54#(active(X1),X2,X3)
   active#(U55(X1,X2)) -> active#(X1)
   active#(U55(X1,X2)) -> U55#(active(X1),X2)
   active#(U56(X)) -> active#(X)
   active#(U56(X)) -> U56#(active(X))
   active#(U61(X1,X2)) -> active#(X1)
   active#(U61(X1,X2)) -> U61#(active(X1),X2)
   active#(U62(X1,X2)) -> active#(X1)
   active#(U62(X1,X2)) -> U62#(active(X1),X2)
   active#(U63(X)) -> active#(X)
   active#(U63(X)) -> U63#(active(X))
   active#(U71(X1,X2,X3)) -> active#(X1)
   active#(U71(X1,X2,X3)) -> U71#(active(X1),X2,X3)
   active#(U72(X1,X2)) -> active#(X1)
   active#(U72(X1,X2)) -> U72#(active(X1),X2)
   active#(U73(X1,X2)) -> active#(X1)
   active#(U73(X1,X2)) -> U73#(active(X1),X2)
   active#(U74(X)) -> active#(X)
   active#(U74(X)) -> U74#(active(X))
   active#(U81(X1,X2)) -> active#(X1)
   active#(U81(X1,X2)) -> U81#(active(X1),X2)
   active#(U82(X1,X2)) -> active#(X1)
   active#(U82(X1,X2)) -> U82#(active(X1),X2)
   active#(U83(X)) -> active#(X)
   active#(U83(X)) -> U83#(active(X))
   active#(U91(X1,X2)) -> active#(X1)
   active#(U91(X1,X2)) -> U91#(active(X1),X2)
   active#(U92(X)) -> active#(X)
   active#(U92(X)) -> U92#(active(X))
   __#(mark(X1),X2) -> __#(X1,X2)
   __#(X1,mark(X2)) -> __#(X1,X2)
   U11#(mark(X1),X2) -> U11#(X1,X2)
   U12#(mark(X1),X2) -> U12#(X1,X2)
   U13#(mark(X)) -> U13#(X)
   U21#(mark(X1),X2,X3) -> U21#(X1,X2,X3)
   U22#(mark(X1),X2,X3) -> U22#(X1,X2,X3)
   U23#(mark(X1),X2,X3) -> U23#(X1,X2,X3)
   U24#(mark(X1),X2,X3) -> U24#(X1,X2,X3)
   U25#(mark(X1),X2) -> U25#(X1,X2)
   U26#(mark(X)) -> U26#(X)
   U31#(mark(X1),X2) -> U31#(X1,X2)
   U32#(mark(X1),X2) -> U32#(X1,X2)
   U33#(mark(X)) -> U33#(X)
   U41#(mark(X1),X2,X3) -> U41#(X1,X2,X3)
   U42#(mark(X1),X2,X3) -> U42#(X1,X2,X3)
   U43#(mark(X1),X2,X3) -> U43#(X1,X2,X3)
   U44#(mark(X1),X2,X3) -> U44#(X1,X2,X3)
   U45#(mark(X1),X2) -> U45#(X1,X2)
   U46#(mark(X)) -> U46#(X)
   U51#(mark(X1),X2,X3) -> U51#(X1,X2,X3)
   U52#(mark(X1),X2,X3) -> U52#(X1,X2,X3)
   U53#(mark(X1),X2,X3) -> U53#(X1,X2,X3)
   U54#(mark(X1),X2,X3) -> U54#(X1,X2,X3)
   U55#(mark(X1),X2) -> U55#(X1,X2)
   U56#(mark(X)) -> U56#(X)
   U61#(mark(X1),X2) -> U61#(X1,X2)
   U62#(mark(X1),X2) -> U62#(X1,X2)
   U63#(mark(X)) -> U63#(X)
   U71#(mark(X1),X2,X3) -> U71#(X1,X2,X3)
   U72#(mark(X1),X2) -> U72#(X1,X2)
   U73#(mark(X1),X2) -> U73#(X1,X2)
   U74#(mark(X)) -> U74#(X)
   U81#(mark(X1),X2) -> U81#(X1,X2)
   U82#(mark(X1),X2) -> U82#(X1,X2)
   U83#(mark(X)) -> U83#(X)
   U91#(mark(X1),X2) -> U91#(X1,X2)
   U92#(mark(X)) -> U92#(X)
   proper#(__(X1,X2)) -> proper#(X2)
   proper#(__(X1,X2)) -> proper#(X1)
   proper#(__(X1,X2)) -> __#(proper(X1),proper(X2))
   proper#(U11(X1,X2)) -> proper#(X2)
   proper#(U11(X1,X2)) -> proper#(X1)
   proper#(U11(X1,X2)) -> U11#(proper(X1),proper(X2))
   proper#(U12(X1,X2)) -> proper#(X2)
   proper#(U12(X1,X2)) -> proper#(X1)
   proper#(U12(X1,X2)) -> U12#(proper(X1),proper(X2))
   proper#(isPalListKind(X)) -> proper#(X)
   proper#(isPalListKind(X)) -> isPalListKind#(proper(X))
   proper#(U13(X)) -> proper#(X)
   proper#(U13(X)) -> U13#(proper(X))
   proper#(isNeList(X)) -> proper#(X)
   proper#(isNeList(X)) -> isNeList#(proper(X))
   proper#(U21(X1,X2,X3)) -> proper#(X3)
   proper#(U21(X1,X2,X3)) -> proper#(X2)
   proper#(U21(X1,X2,X3)) -> proper#(X1)
   proper#(U21(X1,X2,X3)) -> U21#(proper(X1),proper(X2),proper(X3))
   proper#(U22(X1,X2,X3)) -> proper#(X3)
   proper#(U22(X1,X2,X3)) -> proper#(X2)
   proper#(U22(X1,X2,X3)) -> proper#(X1)
   proper#(U22(X1,X2,X3)) -> U22#(proper(X1),proper(X2),proper(X3))
   proper#(U23(X1,X2,X3)) -> proper#(X3)
   proper#(U23(X1,X2,X3)) -> proper#(X2)
   proper#(U23(X1,X2,X3)) -> proper#(X1)
   proper#(U23(X1,X2,X3)) -> U23#(proper(X1),proper(X2),proper(X3))
   proper#(U24(X1,X2,X3)) -> proper#(X3)
   proper#(U24(X1,X2,X3)) -> proper#(X2)
   proper#(U24(X1,X2,X3)) -> proper#(X1)
   proper#(U24(X1,X2,X3)) -> U24#(proper(X1),proper(X2),proper(X3))
   proper#(U25(X1,X2)) -> proper#(X2)
   proper#(U25(X1,X2)) -> proper#(X1)
   proper#(U25(X1,X2)) -> U25#(proper(X1),proper(X2))
   proper#(isList(X)) -> proper#(X)
   proper#(isList(X)) -> isList#(proper(X))
   proper#(U26(X)) -> proper#(X)
   proper#(U26(X)) -> U26#(proper(X))
   proper#(U31(X1,X2)) -> proper#(X2)
   proper#(U31(X1,X2)) -> proper#(X1)
   proper#(U31(X1,X2)) -> U31#(proper(X1),proper(X2))
   proper#(U32(X1,X2)) -> proper#(X2)
   proper#(U32(X1,X2)) -> proper#(X1)
   proper#(U32(X1,X2)) -> U32#(proper(X1),proper(X2))
   proper#(U33(X)) -> proper#(X)
   proper#(U33(X)) -> U33#(proper(X))
   proper#(isQid(X)) -> proper#(X)
   proper#(isQid(X)) -> isQid#(proper(X))
   proper#(U41(X1,X2,X3)) -> proper#(X3)
   proper#(U41(X1,X2,X3)) -> proper#(X2)
   proper#(U41(X1,X2,X3)) -> proper#(X1)
   proper#(U41(X1,X2,X3)) -> U41#(proper(X1),proper(X2),proper(X3))
   proper#(U42(X1,X2,X3)) -> proper#(X3)
   proper#(U42(X1,X2,X3)) -> proper#(X2)
   proper#(U42(X1,X2,X3)) -> proper#(X1)
   proper#(U42(X1,X2,X3)) -> U42#(proper(X1),proper(X2),proper(X3))
   proper#(U43(X1,X2,X3)) -> proper#(X3)
   proper#(U43(X1,X2,X3)) -> proper#(X2)
   proper#(U43(X1,X2,X3)) -> proper#(X1)
   proper#(U43(X1,X2,X3)) -> U43#(proper(X1),proper(X2),proper(X3))
   proper#(U44(X1,X2,X3)) -> proper#(X3)
   proper#(U44(X1,X2,X3)) -> proper#(X2)
   proper#(U44(X1,X2,X3)) -> proper#(X1)
   proper#(U44(X1,X2,X3)) -> U44#(proper(X1),proper(X2),proper(X3))
   proper#(U45(X1,X2)) -> proper#(X2)
   proper#(U45(X1,X2)) -> proper#(X1)
   proper#(U45(X1,X2)) -> U45#(proper(X1),proper(X2))
   proper#(U46(X)) -> proper#(X)
   proper#(U46(X)) -> U46#(proper(X))
   proper#(U51(X1,X2,X3)) -> proper#(X3)
   proper#(U51(X1,X2,X3)) -> proper#(X2)
   proper#(U51(X1,X2,X3)) -> proper#(X1)
   proper#(U51(X1,X2,X3)) -> U51#(proper(X1),proper(X2),proper(X3))
   proper#(U52(X1,X2,X3)) -> proper#(X3)
   proper#(U52(X1,X2,X3)) -> proper#(X2)
   proper#(U52(X1,X2,X3)) -> proper#(X1)
   proper#(U52(X1,X2,X3)) -> U52#(proper(X1),proper(X2),proper(X3))
   proper#(U53(X1,X2,X3)) -> proper#(X3)
   proper#(U53(X1,X2,X3)) -> proper#(X2)
   proper#(U53(X1,X2,X3)) -> proper#(X1)
   proper#(U53(X1,X2,X3)) -> U53#(proper(X1),proper(X2),proper(X3))
   proper#(U54(X1,X2,X3)) -> proper#(X3)
   proper#(U54(X1,X2,X3)) -> proper#(X2)
   proper#(U54(X1,X2,X3)) -> proper#(X1)
   proper#(U54(X1,X2,X3)) -> U54#(proper(X1),proper(X2),proper(X3))
   proper#(U55(X1,X2)) -> proper#(X2)
   proper#(U55(X1,X2)) -> proper#(X1)
   proper#(U55(X1,X2)) -> U55#(proper(X1),proper(X2))
   proper#(U56(X)) -> proper#(X)
   proper#(U56(X)) -> U56#(proper(X))
   proper#(U61(X1,X2)) -> proper#(X2)
   proper#(U61(X1,X2)) -> proper#(X1)
   proper#(U61(X1,X2)) -> U61#(proper(X1),proper(X2))
   proper#(U62(X1,X2)) -> proper#(X2)
   proper#(U62(X1,X2)) -> proper#(X1)
   proper#(U62(X1,X2)) -> U62#(proper(X1),proper(X2))
   proper#(U63(X)) -> proper#(X)
   proper#(U63(X)) -> U63#(proper(X))
   proper#(U71(X1,X2,X3)) -> proper#(X3)
   proper#(U71(X1,X2,X3)) -> proper#(X2)
   proper#(U71(X1,X2,X3)) -> proper#(X1)
   proper#(U71(X1,X2,X3)) -> U71#(proper(X1),proper(X2),proper(X3))
   proper#(U72(X1,X2)) -> proper#(X2)
   proper#(U72(X1,X2)) -> proper#(X1)
   proper#(U72(X1,X2)) -> U72#(proper(X1),proper(X2))
   proper#(U73(X1,X2)) -> proper#(X2)
   proper#(U73(X1,X2)) -> proper#(X1)
   proper#(U73(X1,X2)) -> U73#(proper(X1),proper(X2))
   proper#(isPal(X)) -> proper#(X)
   proper#(isPal(X)) -> isPal#(proper(X))
   proper#(U74(X)) -> proper#(X)
   proper#(U74(X)) -> U74#(proper(X))
   proper#(U81(X1,X2)) -> proper#(X2)
   proper#(U81(X1,X2)) -> proper#(X1)
   proper#(U81(X1,X2)) -> U81#(proper(X1),proper(X2))
   proper#(U82(X1,X2)) -> proper#(X2)
   proper#(U82(X1,X2)) -> proper#(X1)
   proper#(U82(X1,X2)) -> U82#(proper(X1),proper(X2))
   proper#(U83(X)) -> proper#(X)
   proper#(U83(X)) -> U83#(proper(X))
   proper#(isNePal(X)) -> proper#(X)
   proper#(isNePal(X)) -> isNePal#(proper(X))
   proper#(U91(X1,X2)) -> proper#(X2)
   proper#(U91(X1,X2)) -> proper#(X1)
   proper#(U91(X1,X2)) -> U91#(proper(X1),proper(X2))
   proper#(U92(X)) -> proper#(X)
   proper#(U92(X)) -> U92#(proper(X))
   __#(ok(X1),ok(X2)) -> __#(X1,X2)
   U11#(ok(X1),ok(X2)) -> U11#(X1,X2)
   U12#(ok(X1),ok(X2)) -> U12#(X1,X2)
   isPalListKind#(ok(X)) -> isPalListKind#(X)
   U13#(ok(X)) -> U13#(X)
   isNeList#(ok(X)) -> isNeList#(X)
   U21#(ok(X1),ok(X2),ok(X3)) -> U21#(X1,X2,X3)
   U22#(ok(X1),ok(X2),ok(X3)) -> U22#(X1,X2,X3)
   U23#(ok(X1),ok(X2),ok(X3)) -> U23#(X1,X2,X3)
   U24#(ok(X1),ok(X2),ok(X3)) -> U24#(X1,X2,X3)
   U25#(ok(X1),ok(X2)) -> U25#(X1,X2)
   isList#(ok(X)) -> isList#(X)
   U26#(ok(X)) -> U26#(X)
   U31#(ok(X1),ok(X2)) -> U31#(X1,X2)
   U32#(ok(X1),ok(X2)) -> U32#(X1,X2)
   U33#(ok(X)) -> U33#(X)
   isQid#(ok(X)) -> isQid#(X)
   U41#(ok(X1),ok(X2),ok(X3)) -> U41#(X1,X2,X3)
   U42#(ok(X1),ok(X2),ok(X3)) -> U42#(X1,X2,X3)
   U43#(ok(X1),ok(X2),ok(X3)) -> U43#(X1,X2,X3)
   U44#(ok(X1),ok(X2),ok(X3)) -> U44#(X1,X2,X3)
   U45#(ok(X1),ok(X2)) -> U45#(X1,X2)
   U46#(ok(X)) -> U46#(X)
   U51#(ok(X1),ok(X2),ok(X3)) -> U51#(X1,X2,X3)
   U52#(ok(X1),ok(X2),ok(X3)) -> U52#(X1,X2,X3)
   U53#(ok(X1),ok(X2),ok(X3)) -> U53#(X1,X2,X3)
   U54#(ok(X1),ok(X2),ok(X3)) -> U54#(X1,X2,X3)
   U55#(ok(X1),ok(X2)) -> U55#(X1,X2)
   U56#(ok(X)) -> U56#(X)
   U61#(ok(X1),ok(X2)) -> U61#(X1,X2)
   U62#(ok(X1),ok(X2)) -> U62#(X1,X2)
   U63#(ok(X)) -> U63#(X)
   U71#(ok(X1),ok(X2),ok(X3)) -> U71#(X1,X2,X3)
   U72#(ok(X1),ok(X2)) -> U72#(X1,X2)
   U73#(ok(X1),ok(X2)) -> U73#(X1,X2)
   isPal#(ok(X)) -> isPal#(X)
   U74#(ok(X)) -> U74#(X)
   U81#(ok(X1),ok(X2)) -> U81#(X1,X2)
   U82#(ok(X1),ok(X2)) -> U82#(X1,X2)
   U83#(ok(X)) -> U83#(X)
   isNePal#(ok(X)) -> isNePal#(X)
   U91#(ok(X1),ok(X2)) -> U91#(X1,X2)
   U92#(ok(X)) -> U92#(X)
   top#(mark(X)) -> proper#(X)
   top#(mark(X)) -> top#(proper(X))
   top#(ok(X)) -> active#(X)
   top#(ok(X)) -> top#(active(X))
  TRS:
   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())
   active(__(X1,X2)) -> __(active(X1),X2)
   active(__(X1,X2)) -> __(X1,active(X2))
   active(U11(X1,X2)) -> U11(active(X1),X2)
   active(U12(X1,X2)) -> U12(active(X1),X2)
   active(U13(X)) -> U13(active(X))
   active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
   active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
   active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
   active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
   active(U25(X1,X2)) -> U25(active(X1),X2)
   active(U26(X)) -> U26(active(X))
   active(U31(X1,X2)) -> U31(active(X1),X2)
   active(U32(X1,X2)) -> U32(active(X1),X2)
   active(U33(X)) -> U33(active(X))
   active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
   active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
   active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
   active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
   active(U45(X1,X2)) -> U45(active(X1),X2)
   active(U46(X)) -> U46(active(X))
   active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
   active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
   active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
   active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
   active(U55(X1,X2)) -> U55(active(X1),X2)
   active(U56(X)) -> U56(active(X))
   active(U61(X1,X2)) -> U61(active(X1),X2)
   active(U62(X1,X2)) -> U62(active(X1),X2)
   active(U63(X)) -> U63(active(X))
   active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
   active(U72(X1,X2)) -> U72(active(X1),X2)
   active(U73(X1,X2)) -> U73(active(X1),X2)
   active(U74(X)) -> U74(active(X))
   active(U81(X1,X2)) -> U81(active(X1),X2)
   active(U82(X1,X2)) -> U82(active(X1),X2)
   active(U83(X)) -> U83(active(X))
   active(U91(X1,X2)) -> U91(active(X1),X2)
   active(U92(X)) -> U92(active(X))
   __(mark(X1),X2) -> mark(__(X1,X2))
   __(X1,mark(X2)) -> mark(__(X1,X2))
   U11(mark(X1),X2) -> mark(U11(X1,X2))
   U12(mark(X1),X2) -> mark(U12(X1,X2))
   U13(mark(X)) -> mark(U13(X))
   U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
   U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
   U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
   U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
   U25(mark(X1),X2) -> mark(U25(X1,X2))
   U26(mark(X)) -> mark(U26(X))
   U31(mark(X1),X2) -> mark(U31(X1,X2))
   U32(mark(X1),X2) -> mark(U32(X1,X2))
   U33(mark(X)) -> mark(U33(X))
   U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
   U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
   U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
   U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
   U45(mark(X1),X2) -> mark(U45(X1,X2))
   U46(mark(X)) -> mark(U46(X))
   U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
   U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
   U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
   U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
   U55(mark(X1),X2) -> mark(U55(X1,X2))
   U56(mark(X)) -> mark(U56(X))
   U61(mark(X1),X2) -> mark(U61(X1,X2))
   U62(mark(X1),X2) -> mark(U62(X1,X2))
   U63(mark(X)) -> mark(U63(X))
   U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
   U72(mark(X1),X2) -> mark(U72(X1,X2))
   U73(mark(X1),X2) -> mark(U73(X1,X2))
   U74(mark(X)) -> mark(U74(X))
   U81(mark(X1),X2) -> mark(U81(X1,X2))
   U82(mark(X1),X2) -> mark(U82(X1,X2))
   U83(mark(X)) -> mark(U83(X))
   U91(mark(X1),X2) -> mark(U91(X1,X2))
   U92(mark(X)) -> mark(U92(X))
   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(X1,X2)) -> U12(proper(X1),proper(X2))
   proper(isPalListKind(X)) -> isPalListKind(proper(X))
   proper(U13(X)) -> U13(proper(X))
   proper(isNeList(X)) -> isNeList(proper(X))
   proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
   proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
   proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
   proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
   proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
   proper(isList(X)) -> isList(proper(X))
   proper(U26(X)) -> U26(proper(X))
   proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
   proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
   proper(U33(X)) -> U33(proper(X))
   proper(isQid(X)) -> isQid(proper(X))
   proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
   proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
   proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
   proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
   proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
   proper(U46(X)) -> U46(proper(X))
   proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
   proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
   proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
   proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
   proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
   proper(U56(X)) -> U56(proper(X))
   proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
   proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
   proper(U63(X)) -> U63(proper(X))
   proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
   proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
   proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
   proper(isPal(X)) -> isPal(proper(X))
   proper(U74(X)) -> U74(proper(X))
   proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
   proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
   proper(U83(X)) -> U83(proper(X))
   proper(isNePal(X)) -> isNePal(proper(X))
   proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
   proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
   isPalListKind(ok(X)) -> ok(isPalListKind(X))
   U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
   U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
   U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
   U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
   isList(ok(X)) -> ok(isList(X))
   U26(ok(X)) -> ok(U26(X))
   U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
   U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
   U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
   U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
   U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
   U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
   U46(ok(X)) -> ok(U46(X))
   U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
   U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
   U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
   U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
   U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
   U56(ok(X)) -> ok(U56(X))
   U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
   U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
   U63(ok(X)) -> ok(U63(X))
   U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
   U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
   U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
   isPal(ok(X)) -> ok(isPal(X))
   U74(ok(X)) -> ok(U74(X))
   U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
   U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
   U83(ok(X)) -> ok(U83(X))
   isNePal(ok(X)) -> ok(isNePal(X))
   U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
   U92(ok(X)) -> ok(U92(X))
   top(mark(X)) -> top(proper(X))
   top(ok(X)) -> top(active(X))
  EDG Processor:
   DPs:
    active#(__(__(X,Y),Z)) -> __#(Y,Z)
    active#(__(__(X,Y),Z)) -> __#(X,__(Y,Z))
    active#(U11(tt(),V)) -> isPalListKind#(V)
    active#(U11(tt(),V)) -> U12#(isPalListKind(V),V)
    active#(U12(tt(),V)) -> isNeList#(V)
    active#(U12(tt(),V)) -> U13#(isNeList(V))
    active#(U21(tt(),V1,V2)) -> isPalListKind#(V1)
    active#(U21(tt(),V1,V2)) -> U22#(isPalListKind(V1),V1,V2)
    active#(U22(tt(),V1,V2)) -> isPalListKind#(V2)
    active#(U22(tt(),V1,V2)) -> U23#(isPalListKind(V2),V1,V2)
    active#(U23(tt(),V1,V2)) -> isPalListKind#(V2)
    active#(U23(tt(),V1,V2)) -> U24#(isPalListKind(V2),V1,V2)
    active#(U24(tt(),V1,V2)) -> isList#(V1)
    active#(U24(tt(),V1,V2)) -> U25#(isList(V1),V2)
    active#(U25(tt(),V2)) -> isList#(V2)
    active#(U25(tt(),V2)) -> U26#(isList(V2))
    active#(U31(tt(),V)) -> isPalListKind#(V)
    active#(U31(tt(),V)) -> U32#(isPalListKind(V),V)
    active#(U32(tt(),V)) -> isQid#(V)
    active#(U32(tt(),V)) -> U33#(isQid(V))
    active#(U41(tt(),V1,V2)) -> isPalListKind#(V1)
    active#(U41(tt(),V1,V2)) -> U42#(isPalListKind(V1),V1,V2)
    active#(U42(tt(),V1,V2)) -> isPalListKind#(V2)
    active#(U42(tt(),V1,V2)) -> U43#(isPalListKind(V2),V1,V2)
    active#(U43(tt(),V1,V2)) -> isPalListKind#(V2)
    active#(U43(tt(),V1,V2)) -> U44#(isPalListKind(V2),V1,V2)
    active#(U44(tt(),V1,V2)) -> isList#(V1)
    active#(U44(tt(),V1,V2)) -> U45#(isList(V1),V2)
    active#(U45(tt(),V2)) -> isNeList#(V2)
    active#(U45(tt(),V2)) -> U46#(isNeList(V2))
    active#(U51(tt(),V1,V2)) -> isPalListKind#(V1)
    active#(U51(tt(),V1,V2)) -> U52#(isPalListKind(V1),V1,V2)
    active#(U52(tt(),V1,V2)) -> isPalListKind#(V2)
    active#(U52(tt(),V1,V2)) -> U53#(isPalListKind(V2),V1,V2)
    active#(U53(tt(),V1,V2)) -> isPalListKind#(V2)
    active#(U53(tt(),V1,V2)) -> U54#(isPalListKind(V2),V1,V2)
    active#(U54(tt(),V1,V2)) -> isNeList#(V1)
    active#(U54(tt(),V1,V2)) -> U55#(isNeList(V1),V2)
    active#(U55(tt(),V2)) -> isList#(V2)
    active#(U55(tt(),V2)) -> U56#(isList(V2))
    active#(U61(tt(),V)) -> isPalListKind#(V)
    active#(U61(tt(),V)) -> U62#(isPalListKind(V),V)
    active#(U62(tt(),V)) -> isQid#(V)
    active#(U62(tt(),V)) -> U63#(isQid(V))
    active#(U71(tt(),I,P)) -> isPalListKind#(I)
    active#(U71(tt(),I,P)) -> U72#(isPalListKind(I),P)
    active#(U72(tt(),P)) -> isPal#(P)
    active#(U72(tt(),P)) -> U73#(isPal(P),P)
    active#(U73(tt(),P)) -> isPalListKind#(P)
    active#(U73(tt(),P)) -> U74#(isPalListKind(P))
    active#(U81(tt(),V)) -> isPalListKind#(V)
    active#(U81(tt(),V)) -> U82#(isPalListKind(V),V)
    active#(U82(tt(),V)) -> isNePal#(V)
    active#(U82(tt(),V)) -> U83#(isNePal(V))
    active#(U91(tt(),V2)) -> isPalListKind#(V2)
    active#(U91(tt(),V2)) -> U92#(isPalListKind(V2))
    active#(isList(V)) -> isPalListKind#(V)
    active#(isList(V)) -> U11#(isPalListKind(V),V)
    active#(isList(__(V1,V2))) -> isPalListKind#(V1)
    active#(isList(__(V1,V2))) -> U21#(isPalListKind(V1),V1,V2)
    active#(isNeList(V)) -> isPalListKind#(V)
    active#(isNeList(V)) -> U31#(isPalListKind(V),V)
    active#(isNeList(__(V1,V2))) -> isPalListKind#(V1)
    active#(isNeList(__(V1,V2))) -> U41#(isPalListKind(V1),V1,V2)
    active#(isNeList(__(V1,V2))) -> U51#(isPalListKind(V1),V1,V2)
    active#(isNePal(V)) -> isPalListKind#(V)
    active#(isNePal(V)) -> U61#(isPalListKind(V),V)
    active#(isNePal(__(I,__(P,I)))) -> isQid#(I)
    active#(isNePal(__(I,__(P,I)))) -> U71#(isQid(I),I,P)
    active#(isPal(V)) -> isPalListKind#(V)
    active#(isPal(V)) -> U81#(isPalListKind(V),V)
    active#(isPalListKind(__(V1,V2))) -> isPalListKind#(V1)
    active#(isPalListKind(__(V1,V2))) -> U91#(isPalListKind(V1),V2)
    active#(__(X1,X2)) -> active#(X1)
    active#(__(X1,X2)) -> __#(active(X1),X2)
    active#(__(X1,X2)) -> active#(X2)
    active#(__(X1,X2)) -> __#(X1,active(X2))
    active#(U11(X1,X2)) -> active#(X1)
    active#(U11(X1,X2)) -> U11#(active(X1),X2)
    active#(U12(X1,X2)) -> active#(X1)
    active#(U12(X1,X2)) -> U12#(active(X1),X2)
    active#(U13(X)) -> active#(X)
    active#(U13(X)) -> U13#(active(X))
    active#(U21(X1,X2,X3)) -> active#(X1)
    active#(U21(X1,X2,X3)) -> U21#(active(X1),X2,X3)
    active#(U22(X1,X2,X3)) -> active#(X1)
    active#(U22(X1,X2,X3)) -> U22#(active(X1),X2,X3)
    active#(U23(X1,X2,X3)) -> active#(X1)
    active#(U23(X1,X2,X3)) -> U23#(active(X1),X2,X3)
    active#(U24(X1,X2,X3)) -> active#(X1)
    active#(U24(X1,X2,X3)) -> U24#(active(X1),X2,X3)
    active#(U25(X1,X2)) -> active#(X1)
    active#(U25(X1,X2)) -> U25#(active(X1),X2)
    active#(U26(X)) -> active#(X)
    active#(U26(X)) -> U26#(active(X))
    active#(U31(X1,X2)) -> active#(X1)
    active#(U31(X1,X2)) -> U31#(active(X1),X2)
    active#(U32(X1,X2)) -> active#(X1)
    active#(U32(X1,X2)) -> U32#(active(X1),X2)
    active#(U33(X)) -> active#(X)
    active#(U33(X)) -> U33#(active(X))
    active#(U41(X1,X2,X3)) -> active#(X1)
    active#(U41(X1,X2,X3)) -> U41#(active(X1),X2,X3)
    active#(U42(X1,X2,X3)) -> active#(X1)
    active#(U42(X1,X2,X3)) -> U42#(active(X1),X2,X3)
    active#(U43(X1,X2,X3)) -> active#(X1)
    active#(U43(X1,X2,X3)) -> U43#(active(X1),X2,X3)
    active#(U44(X1,X2,X3)) -> active#(X1)
    active#(U44(X1,X2,X3)) -> U44#(active(X1),X2,X3)
    active#(U45(X1,X2)) -> active#(X1)
    active#(U45(X1,X2)) -> U45#(active(X1),X2)
    active#(U46(X)) -> active#(X)
    active#(U46(X)) -> U46#(active(X))
    active#(U51(X1,X2,X3)) -> active#(X1)
    active#(U51(X1,X2,X3)) -> U51#(active(X1),X2,X3)
    active#(U52(X1,X2,X3)) -> active#(X1)
    active#(U52(X1,X2,X3)) -> U52#(active(X1),X2,X3)
    active#(U53(X1,X2,X3)) -> active#(X1)
    active#(U53(X1,X2,X3)) -> U53#(active(X1),X2,X3)
    active#(U54(X1,X2,X3)) -> active#(X1)
    active#(U54(X1,X2,X3)) -> U54#(active(X1),X2,X3)
    active#(U55(X1,X2)) -> active#(X1)
    active#(U55(X1,X2)) -> U55#(active(X1),X2)
    active#(U56(X)) -> active#(X)
    active#(U56(X)) -> U56#(active(X))
    active#(U61(X1,X2)) -> active#(X1)
    active#(U61(X1,X2)) -> U61#(active(X1),X2)
    active#(U62(X1,X2)) -> active#(X1)
    active#(U62(X1,X2)) -> U62#(active(X1),X2)
    active#(U63(X)) -> active#(X)
    active#(U63(X)) -> U63#(active(X))
    active#(U71(X1,X2,X3)) -> active#(X1)
    active#(U71(X1,X2,X3)) -> U71#(active(X1),X2,X3)
    active#(U72(X1,X2)) -> active#(X1)
    active#(U72(X1,X2)) -> U72#(active(X1),X2)
    active#(U73(X1,X2)) -> active#(X1)
    active#(U73(X1,X2)) -> U73#(active(X1),X2)
    active#(U74(X)) -> active#(X)
    active#(U74(X)) -> U74#(active(X))
    active#(U81(X1,X2)) -> active#(X1)
    active#(U81(X1,X2)) -> U81#(active(X1),X2)
    active#(U82(X1,X2)) -> active#(X1)
    active#(U82(X1,X2)) -> U82#(active(X1),X2)
    active#(U83(X)) -> active#(X)
    active#(U83(X)) -> U83#(active(X))
    active#(U91(X1,X2)) -> active#(X1)
    active#(U91(X1,X2)) -> U91#(active(X1),X2)
    active#(U92(X)) -> active#(X)
    active#(U92(X)) -> U92#(active(X))
    __#(mark(X1),X2) -> __#(X1,X2)
    __#(X1,mark(X2)) -> __#(X1,X2)
    U11#(mark(X1),X2) -> U11#(X1,X2)
    U12#(mark(X1),X2) -> U12#(X1,X2)
    U13#(mark(X)) -> U13#(X)
    U21#(mark(X1),X2,X3) -> U21#(X1,X2,X3)
    U22#(mark(X1),X2,X3) -> U22#(X1,X2,X3)
    U23#(mark(X1),X2,X3) -> U23#(X1,X2,X3)
    U24#(mark(X1),X2,X3) -> U24#(X1,X2,X3)
    U25#(mark(X1),X2) -> U25#(X1,X2)
    U26#(mark(X)) -> U26#(X)
    U31#(mark(X1),X2) -> U31#(X1,X2)
    U32#(mark(X1),X2) -> U32#(X1,X2)
    U33#(mark(X)) -> U33#(X)
    U41#(mark(X1),X2,X3) -> U41#(X1,X2,X3)
    U42#(mark(X1),X2,X3) -> U42#(X1,X2,X3)
    U43#(mark(X1),X2,X3) -> U43#(X1,X2,X3)
    U44#(mark(X1),X2,X3) -> U44#(X1,X2,X3)
    U45#(mark(X1),X2) -> U45#(X1,X2)
    U46#(mark(X)) -> U46#(X)
    U51#(mark(X1),X2,X3) -> U51#(X1,X2,X3)
    U52#(mark(X1),X2,X3) -> U52#(X1,X2,X3)
    U53#(mark(X1),X2,X3) -> U53#(X1,X2,X3)
    U54#(mark(X1),X2,X3) -> U54#(X1,X2,X3)
    U55#(mark(X1),X2) -> U55#(X1,X2)
    U56#(mark(X)) -> U56#(X)
    U61#(mark(X1),X2) -> U61#(X1,X2)
    U62#(mark(X1),X2) -> U62#(X1,X2)
    U63#(mark(X)) -> U63#(X)
    U71#(mark(X1),X2,X3) -> U71#(X1,X2,X3)
    U72#(mark(X1),X2) -> U72#(X1,X2)
    U73#(mark(X1),X2) -> U73#(X1,X2)
    U74#(mark(X)) -> U74#(X)
    U81#(mark(X1),X2) -> U81#(X1,X2)
    U82#(mark(X1),X2) -> U82#(X1,X2)
    U83#(mark(X)) -> U83#(X)
    U91#(mark(X1),X2) -> U91#(X1,X2)
    U92#(mark(X)) -> U92#(X)
    proper#(__(X1,X2)) -> proper#(X2)
    proper#(__(X1,X2)) -> proper#(X1)
    proper#(__(X1,X2)) -> __#(proper(X1),proper(X2))
    proper#(U11(X1,X2)) -> proper#(X2)
    proper#(U11(X1,X2)) -> proper#(X1)
    proper#(U11(X1,X2)) -> U11#(proper(X1),proper(X2))
    proper#(U12(X1,X2)) -> proper#(X2)
    proper#(U12(X1,X2)) -> proper#(X1)
    proper#(U12(X1,X2)) -> U12#(proper(X1),proper(X2))
    proper#(isPalListKind(X)) -> proper#(X)
    proper#(isPalListKind(X)) -> isPalListKind#(proper(X))
    proper#(U13(X)) -> proper#(X)
    proper#(U13(X)) -> U13#(proper(X))
    proper#(isNeList(X)) -> proper#(X)
    proper#(isNeList(X)) -> isNeList#(proper(X))
    proper#(U21(X1,X2,X3)) -> proper#(X3)
    proper#(U21(X1,X2,X3)) -> proper#(X2)
    proper#(U21(X1,X2,X3)) -> proper#(X1)
    proper#(U21(X1,X2,X3)) -> U21#(proper(X1),proper(X2),proper(X3))
    proper#(U22(X1,X2,X3)) -> proper#(X3)
    proper#(U22(X1,X2,X3)) -> proper#(X2)
    proper#(U22(X1,X2,X3)) -> proper#(X1)
    proper#(U22(X1,X2,X3)) -> U22#(proper(X1),proper(X2),proper(X3))
    proper#(U23(X1,X2,X3)) -> proper#(X3)
    proper#(U23(X1,X2,X3)) -> proper#(X2)
    proper#(U23(X1,X2,X3)) -> proper#(X1)
    proper#(U23(X1,X2,X3)) -> U23#(proper(X1),proper(X2),proper(X3))
    proper#(U24(X1,X2,X3)) -> proper#(X3)
    proper#(U24(X1,X2,X3)) -> proper#(X2)
    proper#(U24(X1,X2,X3)) -> proper#(X1)
    proper#(U24(X1,X2,X3)) -> U24#(proper(X1),proper(X2),proper(X3))
    proper#(U25(X1,X2)) -> proper#(X2)
    proper#(U25(X1,X2)) -> proper#(X1)
    proper#(U25(X1,X2)) -> U25#(proper(X1),proper(X2))
    proper#(isList(X)) -> proper#(X)
    proper#(isList(X)) -> isList#(proper(X))
    proper#(U26(X)) -> proper#(X)
    proper#(U26(X)) -> U26#(proper(X))
    proper#(U31(X1,X2)) -> proper#(X2)
    proper#(U31(X1,X2)) -> proper#(X1)
    proper#(U31(X1,X2)) -> U31#(proper(X1),proper(X2))
    proper#(U32(X1,X2)) -> proper#(X2)
    proper#(U32(X1,X2)) -> proper#(X1)
    proper#(U32(X1,X2)) -> U32#(proper(X1),proper(X2))
    proper#(U33(X)) -> proper#(X)
    proper#(U33(X)) -> U33#(proper(X))
    proper#(isQid(X)) -> proper#(X)
    proper#(isQid(X)) -> isQid#(proper(X))
    proper#(U41(X1,X2,X3)) -> proper#(X3)
    proper#(U41(X1,X2,X3)) -> proper#(X2)
    proper#(U41(X1,X2,X3)) -> proper#(X1)
    proper#(U41(X1,X2,X3)) -> U41#(proper(X1),proper(X2),proper(X3))
    proper#(U42(X1,X2,X3)) -> proper#(X3)
    proper#(U42(X1,X2,X3)) -> proper#(X2)
    proper#(U42(X1,X2,X3)) -> proper#(X1)
    proper#(U42(X1,X2,X3)) -> U42#(proper(X1),proper(X2),proper(X3))
    proper#(U43(X1,X2,X3)) -> proper#(X3)
    proper#(U43(X1,X2,X3)) -> proper#(X2)
    proper#(U43(X1,X2,X3)) -> proper#(X1)
    proper#(U43(X1,X2,X3)) -> U43#(proper(X1),proper(X2),proper(X3))
    proper#(U44(X1,X2,X3)) -> proper#(X3)
    proper#(U44(X1,X2,X3)) -> proper#(X2)
    proper#(U44(X1,X2,X3)) -> proper#(X1)
    proper#(U44(X1,X2,X3)) -> U44#(proper(X1),proper(X2),proper(X3))
    proper#(U45(X1,X2)) -> proper#(X2)
    proper#(U45(X1,X2)) -> proper#(X1)
    proper#(U45(X1,X2)) -> U45#(proper(X1),proper(X2))
    proper#(U46(X)) -> proper#(X)
    proper#(U46(X)) -> U46#(proper(X))
    proper#(U51(X1,X2,X3)) -> proper#(X3)
    proper#(U51(X1,X2,X3)) -> proper#(X2)
    proper#(U51(X1,X2,X3)) -> proper#(X1)
    proper#(U51(X1,X2,X3)) -> U51#(proper(X1),proper(X2),proper(X3))
    proper#(U52(X1,X2,X3)) -> proper#(X3)
    proper#(U52(X1,X2,X3)) -> proper#(X2)
    proper#(U52(X1,X2,X3)) -> proper#(X1)
    proper#(U52(X1,X2,X3)) -> U52#(proper(X1),proper(X2),proper(X3))
    proper#(U53(X1,X2,X3)) -> proper#(X3)
    proper#(U53(X1,X2,X3)) -> proper#(X2)
    proper#(U53(X1,X2,X3)) -> proper#(X1)
    proper#(U53(X1,X2,X3)) -> U53#(proper(X1),proper(X2),proper(X3))
    proper#(U54(X1,X2,X3)) -> proper#(X3)
    proper#(U54(X1,X2,X3)) -> proper#(X2)
    proper#(U54(X1,X2,X3)) -> proper#(X1)
    proper#(U54(X1,X2,X3)) -> U54#(proper(X1),proper(X2),proper(X3))
    proper#(U55(X1,X2)) -> proper#(X2)
    proper#(U55(X1,X2)) -> proper#(X1)
    proper#(U55(X1,X2)) -> U55#(proper(X1),proper(X2))
    proper#(U56(X)) -> proper#(X)
    proper#(U56(X)) -> U56#(proper(X))
    proper#(U61(X1,X2)) -> proper#(X2)
    proper#(U61(X1,X2)) -> proper#(X1)
    proper#(U61(X1,X2)) -> U61#(proper(X1),proper(X2))
    proper#(U62(X1,X2)) -> proper#(X2)
    proper#(U62(X1,X2)) -> proper#(X1)
    proper#(U62(X1,X2)) -> U62#(proper(X1),proper(X2))
    proper#(U63(X)) -> proper#(X)
    proper#(U63(X)) -> U63#(proper(X))
    proper#(U71(X1,X2,X3)) -> proper#(X3)
    proper#(U71(X1,X2,X3)) -> proper#(X2)
    proper#(U71(X1,X2,X3)) -> proper#(X1)
    proper#(U71(X1,X2,X3)) -> U71#(proper(X1),proper(X2),proper(X3))
    proper#(U72(X1,X2)) -> proper#(X2)
    proper#(U72(X1,X2)) -> proper#(X1)
    proper#(U72(X1,X2)) -> U72#(proper(X1),proper(X2))
    proper#(U73(X1,X2)) -> proper#(X2)
    proper#(U73(X1,X2)) -> proper#(X1)
    proper#(U73(X1,X2)) -> U73#(proper(X1),proper(X2))
    proper#(isPal(X)) -> proper#(X)
    proper#(isPal(X)) -> isPal#(proper(X))
    proper#(U74(X)) -> proper#(X)
    proper#(U74(X)) -> U74#(proper(X))
    proper#(U81(X1,X2)) -> proper#(X2)
    proper#(U81(X1,X2)) -> proper#(X1)
    proper#(U81(X1,X2)) -> U81#(proper(X1),proper(X2))
    proper#(U82(X1,X2)) -> proper#(X2)
    proper#(U82(X1,X2)) -> proper#(X1)
    proper#(U82(X1,X2)) -> U82#(proper(X1),proper(X2))
    proper#(U83(X)) -> proper#(X)
    proper#(U83(X)) -> U83#(proper(X))
    proper#(isNePal(X)) -> proper#(X)
    proper#(isNePal(X)) -> isNePal#(proper(X))
    proper#(U91(X1,X2)) -> proper#(X2)
    proper#(U91(X1,X2)) -> proper#(X1)
    proper#(U91(X1,X2)) -> U91#(proper(X1),proper(X2))
    proper#(U92(X)) -> proper#(X)
    proper#(U92(X)) -> U92#(proper(X))
    __#(ok(X1),ok(X2)) -> __#(X1,X2)
    U11#(ok(X1),ok(X2)) -> U11#(X1,X2)
    U12#(ok(X1),ok(X2)) -> U12#(X1,X2)
    isPalListKind#(ok(X)) -> isPalListKind#(X)
    U13#(ok(X)) -> U13#(X)
    isNeList#(ok(X)) -> isNeList#(X)
    U21#(ok(X1),ok(X2),ok(X3)) -> U21#(X1,X2,X3)
    U22#(ok(X1),ok(X2),ok(X3)) -> U22#(X1,X2,X3)
    U23#(ok(X1),ok(X2),ok(X3)) -> U23#(X1,X2,X3)
    U24#(ok(X1),ok(X2),ok(X3)) -> U24#(X1,X2,X3)
    U25#(ok(X1),ok(X2)) -> U25#(X1,X2)
    isList#(ok(X)) -> isList#(X)
    U26#(ok(X)) -> U26#(X)
    U31#(ok(X1),ok(X2)) -> U31#(X1,X2)
    U32#(ok(X1),ok(X2)) -> U32#(X1,X2)
    U33#(ok(X)) -> U33#(X)
    isQid#(ok(X)) -> isQid#(X)
    U41#(ok(X1),ok(X2),ok(X3)) -> U41#(X1,X2,X3)
    U42#(ok(X1),ok(X2),ok(X3)) -> U42#(X1,X2,X3)
    U43#(ok(X1),ok(X2),ok(X3)) -> U43#(X1,X2,X3)
    U44#(ok(X1),ok(X2),ok(X3)) -> U44#(X1,X2,X3)
    U45#(ok(X1),ok(X2)) -> U45#(X1,X2)
    U46#(ok(X)) -> U46#(X)
    U51#(ok(X1),ok(X2),ok(X3)) -> U51#(X1,X2,X3)
    U52#(ok(X1),ok(X2),ok(X3)) -> U52#(X1,X2,X3)
    U53#(ok(X1),ok(X2),ok(X3)) -> U53#(X1,X2,X3)
    U54#(ok(X1),ok(X2),ok(X3)) -> U54#(X1,X2,X3)
    U55#(ok(X1),ok(X2)) -> U55#(X1,X2)
    U56#(ok(X)) -> U56#(X)
    U61#(ok(X1),ok(X2)) -> U61#(X1,X2)
    U62#(ok(X1),ok(X2)) -> U62#(X1,X2)
    U63#(ok(X)) -> U63#(X)
    U71#(ok(X1),ok(X2),ok(X3)) -> U71#(X1,X2,X3)
    U72#(ok(X1),ok(X2)) -> U72#(X1,X2)
    U73#(ok(X1),ok(X2)) -> U73#(X1,X2)
    isPal#(ok(X)) -> isPal#(X)
    U74#(ok(X)) -> U74#(X)
    U81#(ok(X1),ok(X2)) -> U81#(X1,X2)
    U82#(ok(X1),ok(X2)) -> U82#(X1,X2)
    U83#(ok(X)) -> U83#(X)
    isNePal#(ok(X)) -> isNePal#(X)
    U91#(ok(X1),ok(X2)) -> U91#(X1,X2)
    U92#(ok(X)) -> U92#(X)
    top#(mark(X)) -> proper#(X)
    top#(mark(X)) -> top#(proper(X))
    top#(ok(X)) -> active#(X)
    top#(ok(X)) -> top#(active(X))
   TRS:
    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())
    active(__(X1,X2)) -> __(active(X1),X2)
    active(__(X1,X2)) -> __(X1,active(X2))
    active(U11(X1,X2)) -> U11(active(X1),X2)
    active(U12(X1,X2)) -> U12(active(X1),X2)
    active(U13(X)) -> U13(active(X))
    active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
    active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
    active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
    active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
    active(U25(X1,X2)) -> U25(active(X1),X2)
    active(U26(X)) -> U26(active(X))
    active(U31(X1,X2)) -> U31(active(X1),X2)
    active(U32(X1,X2)) -> U32(active(X1),X2)
    active(U33(X)) -> U33(active(X))
    active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
    active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
    active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
    active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
    active(U45(X1,X2)) -> U45(active(X1),X2)
    active(U46(X)) -> U46(active(X))
    active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
    active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
    active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
    active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
    active(U55(X1,X2)) -> U55(active(X1),X2)
    active(U56(X)) -> U56(active(X))
    active(U61(X1,X2)) -> U61(active(X1),X2)
    active(U62(X1,X2)) -> U62(active(X1),X2)
    active(U63(X)) -> U63(active(X))
    active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
    active(U72(X1,X2)) -> U72(active(X1),X2)
    active(U73(X1,X2)) -> U73(active(X1),X2)
    active(U74(X)) -> U74(active(X))
    active(U81(X1,X2)) -> U81(active(X1),X2)
    active(U82(X1,X2)) -> U82(active(X1),X2)
    active(U83(X)) -> U83(active(X))
    active(U91(X1,X2)) -> U91(active(X1),X2)
    active(U92(X)) -> U92(active(X))
    __(mark(X1),X2) -> mark(__(X1,X2))
    __(X1,mark(X2)) -> mark(__(X1,X2))
    U11(mark(X1),X2) -> mark(U11(X1,X2))
    U12(mark(X1),X2) -> mark(U12(X1,X2))
    U13(mark(X)) -> mark(U13(X))
    U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
    U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
    U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
    U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
    U25(mark(X1),X2) -> mark(U25(X1,X2))
    U26(mark(X)) -> mark(U26(X))
    U31(mark(X1),X2) -> mark(U31(X1,X2))
    U32(mark(X1),X2) -> mark(U32(X1,X2))
    U33(mark(X)) -> mark(U33(X))
    U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
    U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
    U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
    U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
    U45(mark(X1),X2) -> mark(U45(X1,X2))
    U46(mark(X)) -> mark(U46(X))
    U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
    U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
    U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
    U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
    U55(mark(X1),X2) -> mark(U55(X1,X2))
    U56(mark(X)) -> mark(U56(X))
    U61(mark(X1),X2) -> mark(U61(X1,X2))
    U62(mark(X1),X2) -> mark(U62(X1,X2))
    U63(mark(X)) -> mark(U63(X))
    U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
    U72(mark(X1),X2) -> mark(U72(X1,X2))
    U73(mark(X1),X2) -> mark(U73(X1,X2))
    U74(mark(X)) -> mark(U74(X))
    U81(mark(X1),X2) -> mark(U81(X1,X2))
    U82(mark(X1),X2) -> mark(U82(X1,X2))
    U83(mark(X)) -> mark(U83(X))
    U91(mark(X1),X2) -> mark(U91(X1,X2))
    U92(mark(X)) -> mark(U92(X))
    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(X1,X2)) -> U12(proper(X1),proper(X2))
    proper(isPalListKind(X)) -> isPalListKind(proper(X))
    proper(U13(X)) -> U13(proper(X))
    proper(isNeList(X)) -> isNeList(proper(X))
    proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
    proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
    proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
    proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
    proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
    proper(isList(X)) -> isList(proper(X))
    proper(U26(X)) -> U26(proper(X))
    proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
    proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
    proper(U33(X)) -> U33(proper(X))
    proper(isQid(X)) -> isQid(proper(X))
    proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
    proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
    proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
    proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
    proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
    proper(U46(X)) -> U46(proper(X))
    proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
    proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
    proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
    proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
    proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
    proper(U56(X)) -> U56(proper(X))
    proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
    proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
    proper(U63(X)) -> U63(proper(X))
    proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
    proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
    proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
    proper(isPal(X)) -> isPal(proper(X))
    proper(U74(X)) -> U74(proper(X))
    proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
    proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
    proper(U83(X)) -> U83(proper(X))
    proper(isNePal(X)) -> isNePal(proper(X))
    proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
    proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
    isPalListKind(ok(X)) -> ok(isPalListKind(X))
    U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
    U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
    U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
    U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
    isList(ok(X)) -> ok(isList(X))
    U26(ok(X)) -> ok(U26(X))
    U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
    U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
    U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
    U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
    U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
    U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
    U46(ok(X)) -> ok(U46(X))
    U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
    U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
    U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
    U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
    U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
    U56(ok(X)) -> ok(U56(X))
    U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
    U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
    U63(ok(X)) -> ok(U63(X))
    U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
    U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
    U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
    isPal(ok(X)) -> ok(isPal(X))
    U74(ok(X)) -> ok(U74(X))
    U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
    U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
    U83(ok(X)) -> ok(U83(X))
    isNePal(ok(X)) -> ok(isNePal(X))
    U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
    U92(ok(X)) -> ok(U92(X))
    top(mark(X)) -> top(proper(X))
    top(ok(X)) -> top(active(X))
   graph:
    ...
   SCC Processor:
    #sccs: 46
    #rules: 205
    #arcs: 17045/130321
    DPs:
     top#(ok(X)) -> top#(active(X))
     top#(mark(X)) -> top#(proper(X))
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     proper#(U92(X)) -> proper#(X)
     proper#(U91(X1,X2)) -> proper#(X1)
     proper#(U91(X1,X2)) -> proper#(X2)
     proper#(isNePal(X)) -> proper#(X)
     proper#(U83(X)) -> proper#(X)
     proper#(U82(X1,X2)) -> proper#(X1)
     proper#(U82(X1,X2)) -> proper#(X2)
     proper#(U81(X1,X2)) -> proper#(X1)
     proper#(U81(X1,X2)) -> proper#(X2)
     proper#(U74(X)) -> proper#(X)
     proper#(isPal(X)) -> proper#(X)
     proper#(U73(X1,X2)) -> proper#(X1)
     proper#(U73(X1,X2)) -> proper#(X2)
     proper#(U72(X1,X2)) -> proper#(X1)
     proper#(U72(X1,X2)) -> proper#(X2)
     proper#(U71(X1,X2,X3)) -> proper#(X1)
     proper#(U71(X1,X2,X3)) -> proper#(X2)
     proper#(U71(X1,X2,X3)) -> proper#(X3)
     proper#(U63(X)) -> proper#(X)
     proper#(U62(X1,X2)) -> proper#(X1)
     proper#(U62(X1,X2)) -> proper#(X2)
     proper#(U61(X1,X2)) -> proper#(X1)
     proper#(U61(X1,X2)) -> proper#(X2)
     proper#(U56(X)) -> proper#(X)
     proper#(U55(X1,X2)) -> proper#(X1)
     proper#(U55(X1,X2)) -> proper#(X2)
     proper#(U54(X1,X2,X3)) -> proper#(X1)
     proper#(U54(X1,X2,X3)) -> proper#(X2)
     proper#(U54(X1,X2,X3)) -> proper#(X3)
     proper#(U53(X1,X2,X3)) -> proper#(X1)
     proper#(U53(X1,X2,X3)) -> proper#(X2)
     proper#(U53(X1,X2,X3)) -> proper#(X3)
     proper#(U52(X1,X2,X3)) -> proper#(X1)
     proper#(U52(X1,X2,X3)) -> proper#(X2)
     proper#(U52(X1,X2,X3)) -> proper#(X3)
     proper#(U51(X1,X2,X3)) -> proper#(X1)
     proper#(U51(X1,X2,X3)) -> proper#(X2)
     proper#(U51(X1,X2,X3)) -> proper#(X3)
     proper#(U46(X)) -> proper#(X)
     proper#(U45(X1,X2)) -> proper#(X1)
     proper#(U45(X1,X2)) -> proper#(X2)
     proper#(U44(X1,X2,X3)) -> proper#(X1)
     proper#(U44(X1,X2,X3)) -> proper#(X2)
     proper#(U44(X1,X2,X3)) -> proper#(X3)
     proper#(U43(X1,X2,X3)) -> proper#(X1)
     proper#(U43(X1,X2,X3)) -> proper#(X2)
     proper#(U43(X1,X2,X3)) -> proper#(X3)
     proper#(U42(X1,X2,X3)) -> proper#(X1)
     proper#(U42(X1,X2,X3)) -> proper#(X2)
     proper#(U42(X1,X2,X3)) -> proper#(X3)
     proper#(U41(X1,X2,X3)) -> proper#(X1)
     proper#(U41(X1,X2,X3)) -> proper#(X2)
     proper#(U41(X1,X2,X3)) -> proper#(X3)
     proper#(isQid(X)) -> proper#(X)
     proper#(U33(X)) -> proper#(X)
     proper#(U32(X1,X2)) -> proper#(X1)
     proper#(U32(X1,X2)) -> proper#(X2)
     proper#(U31(X1,X2)) -> proper#(X1)
     proper#(U31(X1,X2)) -> proper#(X2)
     proper#(U26(X)) -> proper#(X)
     proper#(isList(X)) -> proper#(X)
     proper#(U25(X1,X2)) -> proper#(X1)
     proper#(U25(X1,X2)) -> proper#(X2)
     proper#(U24(X1,X2,X3)) -> proper#(X1)
     proper#(U24(X1,X2,X3)) -> proper#(X2)
     proper#(U24(X1,X2,X3)) -> proper#(X3)
     proper#(U23(X1,X2,X3)) -> proper#(X1)
     proper#(U23(X1,X2,X3)) -> proper#(X2)
     proper#(U23(X1,X2,X3)) -> proper#(X3)
     proper#(U22(X1,X2,X3)) -> proper#(X1)
     proper#(U22(X1,X2,X3)) -> proper#(X2)
     proper#(U22(X1,X2,X3)) -> proper#(X3)
     proper#(U21(X1,X2,X3)) -> proper#(X1)
     proper#(U21(X1,X2,X3)) -> proper#(X2)
     proper#(U21(X1,X2,X3)) -> proper#(X3)
     proper#(isNeList(X)) -> proper#(X)
     proper#(U13(X)) -> proper#(X)
     proper#(isPalListKind(X)) -> proper#(X)
     proper#(U12(X1,X2)) -> proper#(X1)
     proper#(U12(X1,X2)) -> proper#(X2)
     proper#(U11(X1,X2)) -> proper#(X1)
     proper#(U11(X1,X2)) -> proper#(X2)
     proper#(__(X1,X2)) -> proper#(X1)
     proper#(__(X1,X2)) -> proper#(X2)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     active#(U92(X)) -> active#(X)
     active#(U91(X1,X2)) -> active#(X1)
     active#(U83(X)) -> active#(X)
     active#(U82(X1,X2)) -> active#(X1)
     active#(U81(X1,X2)) -> active#(X1)
     active#(U74(X)) -> active#(X)
     active#(U73(X1,X2)) -> active#(X1)
     active#(U72(X1,X2)) -> active#(X1)
     active#(U71(X1,X2,X3)) -> active#(X1)
     active#(U63(X)) -> active#(X)
     active#(U62(X1,X2)) -> active#(X1)
     active#(U61(X1,X2)) -> active#(X1)
     active#(U56(X)) -> active#(X)
     active#(U55(X1,X2)) -> active#(X1)
     active#(U54(X1,X2,X3)) -> active#(X1)
     active#(U53(X1,X2,X3)) -> active#(X1)
     active#(U52(X1,X2,X3)) -> active#(X1)
     active#(U51(X1,X2,X3)) -> active#(X1)
     active#(U46(X)) -> active#(X)
     active#(U45(X1,X2)) -> active#(X1)
     active#(U44(X1,X2,X3)) -> active#(X1)
     active#(U43(X1,X2,X3)) -> active#(X1)
     active#(U42(X1,X2,X3)) -> active#(X1)
     active#(U41(X1,X2,X3)) -> active#(X1)
     active#(U33(X)) -> active#(X)
     active#(U32(X1,X2)) -> active#(X1)
     active#(U31(X1,X2)) -> active#(X1)
     active#(U26(X)) -> active#(X)
     active#(U25(X1,X2)) -> active#(X1)
     active#(U24(X1,X2,X3)) -> active#(X1)
     active#(U23(X1,X2,X3)) -> active#(X1)
     active#(U22(X1,X2,X3)) -> active#(X1)
     active#(U21(X1,X2,X3)) -> active#(X1)
     active#(U13(X)) -> active#(X)
     active#(U12(X1,X2)) -> active#(X1)
     active#(U11(X1,X2)) -> active#(X1)
     active#(__(X1,X2)) -> active#(X2)
     active#(__(X1,X2)) -> active#(X1)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     isNeList#(ok(X)) -> isNeList#(X)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     isList#(ok(X)) -> isList#(X)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     isPal#(ok(X)) -> isPal#(X)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     isNePal#(ok(X)) -> isNePal#(X)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     isQid#(ok(X)) -> isQid#(X)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     isPalListKind#(ok(X)) -> isPalListKind#(X)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     __#(ok(X1),ok(X2)) -> __#(X1,X2)
     __#(X1,mark(X2)) -> __#(X1,X2)
     __#(mark(X1),X2) -> __#(X1,X2)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U11#(ok(X1),ok(X2)) -> U11#(X1,X2)
     U11#(mark(X1),X2) -> U11#(X1,X2)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U12#(ok(X1),ok(X2)) -> U12#(X1,X2)
     U12#(mark(X1),X2) -> U12#(X1,X2)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U13#(ok(X)) -> U13#(X)
     U13#(mark(X)) -> U13#(X)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U21#(ok(X1),ok(X2),ok(X3)) -> U21#(X1,X2,X3)
     U21#(mark(X1),X2,X3) -> U21#(X1,X2,X3)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U22#(ok(X1),ok(X2),ok(X3)) -> U22#(X1,X2,X3)
     U22#(mark(X1),X2,X3) -> U22#(X1,X2,X3)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U23#(ok(X1),ok(X2),ok(X3)) -> U23#(X1,X2,X3)
     U23#(mark(X1),X2,X3) -> U23#(X1,X2,X3)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U24#(ok(X1),ok(X2),ok(X3)) -> U24#(X1,X2,X3)
     U24#(mark(X1),X2,X3) -> U24#(X1,X2,X3)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U25#(ok(X1),ok(X2)) -> U25#(X1,X2)
     U25#(mark(X1),X2) -> U25#(X1,X2)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U26#(ok(X)) -> U26#(X)
     U26#(mark(X)) -> U26#(X)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U31#(ok(X1),ok(X2)) -> U31#(X1,X2)
     U31#(mark(X1),X2) -> U31#(X1,X2)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U32#(ok(X1),ok(X2)) -> U32#(X1,X2)
     U32#(mark(X1),X2) -> U32#(X1,X2)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U33#(ok(X)) -> U33#(X)
     U33#(mark(X)) -> U33#(X)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U41#(ok(X1),ok(X2),ok(X3)) -> U41#(X1,X2,X3)
     U41#(mark(X1),X2,X3) -> U41#(X1,X2,X3)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U42#(ok(X1),ok(X2),ok(X3)) -> U42#(X1,X2,X3)
     U42#(mark(X1),X2,X3) -> U42#(X1,X2,X3)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U43#(ok(X1),ok(X2),ok(X3)) -> U43#(X1,X2,X3)
     U43#(mark(X1),X2,X3) -> U43#(X1,X2,X3)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U44#(ok(X1),ok(X2),ok(X3)) -> U44#(X1,X2,X3)
     U44#(mark(X1),X2,X3) -> U44#(X1,X2,X3)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U45#(ok(X1),ok(X2)) -> U45#(X1,X2)
     U45#(mark(X1),X2) -> U45#(X1,X2)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U46#(ok(X)) -> U46#(X)
     U46#(mark(X)) -> U46#(X)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U51#(ok(X1),ok(X2),ok(X3)) -> U51#(X1,X2,X3)
     U51#(mark(X1),X2,X3) -> U51#(X1,X2,X3)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U52#(ok(X1),ok(X2),ok(X3)) -> U52#(X1,X2,X3)
     U52#(mark(X1),X2,X3) -> U52#(X1,X2,X3)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U53#(ok(X1),ok(X2),ok(X3)) -> U53#(X1,X2,X3)
     U53#(mark(X1),X2,X3) -> U53#(X1,X2,X3)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U54#(ok(X1),ok(X2),ok(X3)) -> U54#(X1,X2,X3)
     U54#(mark(X1),X2,X3) -> U54#(X1,X2,X3)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U55#(ok(X1),ok(X2)) -> U55#(X1,X2)
     U55#(mark(X1),X2) -> U55#(X1,X2)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U56#(ok(X)) -> U56#(X)
     U56#(mark(X)) -> U56#(X)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U61#(ok(X1),ok(X2)) -> U61#(X1,X2)
     U61#(mark(X1),X2) -> U61#(X1,X2)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U62#(ok(X1),ok(X2)) -> U62#(X1,X2)
     U62#(mark(X1),X2) -> U62#(X1,X2)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U63#(ok(X)) -> U63#(X)
     U63#(mark(X)) -> U63#(X)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U71#(ok(X1),ok(X2),ok(X3)) -> U71#(X1,X2,X3)
     U71#(mark(X1),X2,X3) -> U71#(X1,X2,X3)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U72#(ok(X1),ok(X2)) -> U72#(X1,X2)
     U72#(mark(X1),X2) -> U72#(X1,X2)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U73#(ok(X1),ok(X2)) -> U73#(X1,X2)
     U73#(mark(X1),X2) -> U73#(X1,X2)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U74#(ok(X)) -> U74#(X)
     U74#(mark(X)) -> U74#(X)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U81#(ok(X1),ok(X2)) -> U81#(X1,X2)
     U81#(mark(X1),X2) -> U81#(X1,X2)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U82#(ok(X1),ok(X2)) -> U82#(X1,X2)
     U82#(mark(X1),X2) -> U82#(X1,X2)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U83#(ok(X)) -> U83#(X)
     U83#(mark(X)) -> U83#(X)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U91#(ok(X1),ok(X2)) -> U91#(X1,X2)
     U91#(mark(X1),X2) -> U91#(X1,X2)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     U92#(ok(X)) -> U92#(X)
     U92#(mark(X)) -> U92#(X)
    TRS:
     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())
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X1,X2)) -> U11(active(X1),X2)
     active(U12(X1,X2)) -> U12(active(X1),X2)
     active(U13(X)) -> U13(active(X))
     active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
     active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
     active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
     active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3)
     active(U25(X1,X2)) -> U25(active(X1),X2)
     active(U26(X)) -> U26(active(X))
     active(U31(X1,X2)) -> U31(active(X1),X2)
     active(U32(X1,X2)) -> U32(active(X1),X2)
     active(U33(X)) -> U33(active(X))
     active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
     active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
     active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
     active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
     active(U45(X1,X2)) -> U45(active(X1),X2)
     active(U46(X)) -> U46(active(X))
     active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
     active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
     active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
     active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
     active(U55(X1,X2)) -> U55(active(X1),X2)
     active(U56(X)) -> U56(active(X))
     active(U61(X1,X2)) -> U61(active(X1),X2)
     active(U62(X1,X2)) -> U62(active(X1),X2)
     active(U63(X)) -> U63(active(X))
     active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3)
     active(U72(X1,X2)) -> U72(active(X1),X2)
     active(U73(X1,X2)) -> U73(active(X1),X2)
     active(U74(X)) -> U74(active(X))
     active(U81(X1,X2)) -> U81(active(X1),X2)
     active(U82(X1,X2)) -> U82(active(X1),X2)
     active(U83(X)) -> U83(active(X))
     active(U91(X1,X2)) -> U91(active(X1),X2)
     active(U92(X)) -> U92(active(X))
     __(mark(X1),X2) -> mark(__(X1,X2))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     U11(mark(X1),X2) -> mark(U11(X1,X2))
     U12(mark(X1),X2) -> mark(U12(X1,X2))
     U13(mark(X)) -> mark(U13(X))
     U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
     U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
     U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
     U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3))
     U25(mark(X1),X2) -> mark(U25(X1,X2))
     U26(mark(X)) -> mark(U26(X))
     U31(mark(X1),X2) -> mark(U31(X1,X2))
     U32(mark(X1),X2) -> mark(U32(X1,X2))
     U33(mark(X)) -> mark(U33(X))
     U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
     U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
     U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
     U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
     U45(mark(X1),X2) -> mark(U45(X1,X2))
     U46(mark(X)) -> mark(U46(X))
     U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
     U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
     U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
     U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
     U55(mark(X1),X2) -> mark(U55(X1,X2))
     U56(mark(X)) -> mark(U56(X))
     U61(mark(X1),X2) -> mark(U61(X1,X2))
     U62(mark(X1),X2) -> mark(U62(X1,X2))
     U63(mark(X)) -> mark(U63(X))
     U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3))
     U72(mark(X1),X2) -> mark(U72(X1,X2))
     U73(mark(X1),X2) -> mark(U73(X1,X2))
     U74(mark(X)) -> mark(U74(X))
     U81(mark(X1),X2) -> mark(U81(X1,X2))
     U82(mark(X1),X2) -> mark(U82(X1,X2))
     U83(mark(X)) -> mark(U83(X))
     U91(mark(X1),X2) -> mark(U91(X1,X2))
     U92(mark(X)) -> mark(U92(X))
     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(X1,X2)) -> U12(proper(X1),proper(X2))
     proper(isPalListKind(X)) -> isPalListKind(proper(X))
     proper(U13(X)) -> U13(proper(X))
     proper(isNeList(X)) -> isNeList(proper(X))
     proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
     proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
     proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
     proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3))
     proper(U25(X1,X2)) -> U25(proper(X1),proper(X2))
     proper(isList(X)) -> isList(proper(X))
     proper(U26(X)) -> U26(proper(X))
     proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
     proper(U32(X1,X2)) -> U32(proper(X1),proper(X2))
     proper(U33(X)) -> U33(proper(X))
     proper(isQid(X)) -> isQid(proper(X))
     proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
     proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
     proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
     proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
     proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
     proper(U46(X)) -> U46(proper(X))
     proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
     proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
     proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
     proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
     proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
     proper(U56(X)) -> U56(proper(X))
     proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
     proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
     proper(U63(X)) -> U63(proper(X))
     proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3))
     proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
     proper(U73(X1,X2)) -> U73(proper(X1),proper(X2))
     proper(isPal(X)) -> isPal(proper(X))
     proper(U74(X)) -> U74(proper(X))
     proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
     proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
     proper(U83(X)) -> U83(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
     proper(U92(X)) -> U92(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(X1),ok(X2)) -> ok(U12(X1,X2))
     isPalListKind(ok(X)) -> ok(isPalListKind(X))
     U13(ok(X)) -> ok(U13(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(X3)) -> ok(U22(X1,X2,X3))
     U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
     U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3))
     U25(ok(X1),ok(X2)) -> ok(U25(X1,X2))
     isList(ok(X)) -> ok(isList(X))
     U26(ok(X)) -> ok(U26(X))
     U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
     U32(ok(X1),ok(X2)) -> ok(U32(X1,X2))
     U33(ok(X)) -> ok(U33(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(X3)) -> ok(U42(X1,X2,X3))
     U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
     U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
     U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
     U46(ok(X)) -> ok(U46(X))
     U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
     U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
     U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
     U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
     U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
     U56(ok(X)) -> ok(U56(X))
     U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
     U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
     U63(ok(X)) -> ok(U63(X))
     U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3))
     U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
     U73(ok(X1),ok(X2)) -> ok(U73(X1,X2))
     isPal(ok(X)) -> ok(isPal(X))
     U74(ok(X)) -> ok(U74(X))
     U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
     U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
     U83(ok(X)) -> ok(U83(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
     U92(ok(X)) -> ok(U92(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open