ceta_eq: termination proof not accepted
1: error below switch to dependency pairs
1.1: error below the dependency graph processor
 1.1.1: error when applying the reduction pair processor with usable rules to remove from the DP problem
  pairs:
  
  U11#(tt, V) -> U12#(isPalListKind(activate(V)), activate(V))
  U12#(tt, V) -> isNeList#(activate(V))
  U21#(tt, V1, V2) -> U22#(isPalListKind(activate(V1)), activate(V1), activate(V2))
  U22#(tt, V1, V2) -> U23#(isPalListKind(activate(V2)), activate(V1), activate(V2))
  U23#(tt, V1, V2) -> U24#(isPalListKind(activate(V2)), activate(V1), activate(V2))
  U24#(tt, V1, V2) -> U25#(isList(activate(V1)), activate(V2))
  U24#(tt, V1, V2) -> isList#(activate(V1))
  U25#(tt, V2) -> isList#(activate(V2))
  U41#(tt, V1, V2) -> U42#(isPalListKind(activate(V1)), activate(V1), activate(V2))
  U42#(tt, V1, V2) -> U43#(isPalListKind(activate(V2)), activate(V1), activate(V2))
  U43#(tt, V1, V2) -> U44#(isPalListKind(activate(V2)), activate(V1), activate(V2))
  U44#(tt, V1, V2) -> U45#(isList(activate(V1)), activate(V2))
  U44#(tt, V1, V2) -> isList#(activate(V1))
  U45#(tt, V2) -> isNeList#(activate(V2))
  U51#(tt, V1, V2) -> U52#(isPalListKind(activate(V1)), activate(V1), activate(V2))
  U52#(tt, V1, V2) -> U53#(isPalListKind(activate(V2)), activate(V1), activate(V2))
  U53#(tt, V1, V2) -> U54#(isPalListKind(activate(V2)), activate(V1), activate(V2))
  U54#(tt, V1, V2) -> U55#(isNeList(activate(V1)), activate(V2))
  U54#(tt, V1, V2) -> isNeList#(activate(V1))
  U55#(tt, V2) -> isList#(activate(V2))
  isList#(V) -> U11#(isPalListKind(activate(V)), activate(V))
  isList#(n____(V1, V2)) -> U21#(isPalListKind(activate(V1)), activate(V1), activate(V2))
  isNeList#(n____(V1, V2)) -> U41#(isPalListKind(activate(V1)), activate(V1), activate(V2))
  isNeList#(n____(V1, V2)) -> U51#(isPalListKind(activate(V1)), activate(V1), activate(V2))
  rules:
  
  U11(tt, V) -> U12(isPalListKind(activate(V)), activate(V))
  U12(tt, V) -> U13(isNeList(activate(V)))
  U13(tt) -> tt
  U21(tt, V1, V2) -> U22(isPalListKind(activate(V1)), activate(V1), activate(V2))
  U22(tt, V1, V2) -> U23(isPalListKind(activate(V2)), activate(V1), activate(V2))
  U23(tt, V1, V2) -> U24(isPalListKind(activate(V2)), activate(V1), activate(V2))
  U24(tt, V1, V2) -> U25(isList(activate(V1)), activate(V2))
  U25(tt, V2) -> U26(isList(activate(V2)))
  U26(tt) -> tt
  U31(tt, V) -> U32(isPalListKind(activate(V)), activate(V))
  U32(tt, V) -> U33(isQid(activate(V)))
  U33(tt) -> tt
  U41(tt, V1, V2) -> U42(isPalListKind(activate(V1)), activate(V1), activate(V2))
  U42(tt, V1, V2) -> U43(isPalListKind(activate(V2)), activate(V1), activate(V2))
  U43(tt, V1, V2) -> U44(isPalListKind(activate(V2)), activate(V1), activate(V2))
  U44(tt, V1, V2) -> U45(isList(activate(V1)), activate(V2))
  U45(tt, V2) -> U46(isNeList(activate(V2)))
  U46(tt) -> tt
  U51(tt, V1, V2) -> U52(isPalListKind(activate(V1)), activate(V1), activate(V2))
  U52(tt, V1, V2) -> U53(isPalListKind(activate(V2)), activate(V1), activate(V2))
  U53(tt, V1, V2) -> U54(isPalListKind(activate(V2)), activate(V1), activate(V2))
  U54(tt, V1, V2) -> U55(isNeList(activate(V1)), activate(V2))
  U55(tt, V2) -> U56(isList(activate(V2)))
  U56(tt) -> tt
  U61(tt, V) -> U62(isPalListKind(activate(V)), activate(V))
  U62(tt, V) -> U63(isQid(activate(V)))
  U63(tt) -> tt
  U71(tt, I, P) -> U72(isPalListKind(activate(I)), activate(P))
  U72(tt, P) -> U73(isPal(activate(P)), activate(P))
  U73(tt, P) -> U74(isPalListKind(activate(P)))
  U74(tt) -> tt
  U81(tt, V) -> U82(isPalListKind(activate(V)), activate(V))
  U82(tt, V) -> U83(isNePal(activate(V)))
  U83(tt) -> tt
  U91(tt, V2) -> U92(isPalListKind(activate(V2)))
  U92(tt) -> tt
  __(__(X, Y), Z) -> __(X, __(Y, Z))
  __(X, nil) -> X
  __(nil, X) -> X
  __(X1, X2) -> n____(X1, X2)
  a -> n__a
  activate(n__nil) -> nil
  activate(n____(X1, X2)) -> __(activate(X1), activate(X2))
  activate(n__a) -> a
  activate(n__e) -> e
  activate(n__i) -> i
  activate(n__o) -> o
  activate(n__u) -> u
  activate(X) -> X
  e -> n__e
  i -> n__i
  isList(V) -> U11(isPalListKind(activate(V)), activate(V))
  isList(n__nil) -> tt
  isList(n____(V1, V2)) -> U21(isPalListKind(activate(V1)), activate(V1), activate(V2))
  isNeList(V) -> U31(isPalListKind(activate(V)), activate(V))
  isNeList(n____(V1, V2)) -> U41(isPalListKind(activate(V1)), activate(V1), activate(V2))
  isNeList(n____(V1, V2)) -> U51(isPalListKind(activate(V1)), activate(V1), activate(V2))
  isNePal(V) -> U61(isPalListKind(activate(V)), activate(V))
  isNePal(n____(I, n____(P, I))) -> U71(isQid(activate(I)), activate(I), activate(P))
  isPal(V) -> U81(isPalListKind(activate(V)), activate(V))
  isPal(n__nil) -> tt
  isPalListKind(n__a) -> tt
  isPalListKind(n__e) -> tt
  isPalListKind(n__i) -> tt
  isPalListKind(n__nil) -> tt
  isPalListKind(n__o) -> tt
  isPalListKind(n__u) -> tt
  isPalListKind(n____(V1, V2)) -> U91(isPalListKind(activate(V1)), activate(V2))
  isQid(n__a) -> tt
  isQid(n__e) -> tt
  isQid(n__i) -> tt
  isQid(n__o) -> tt
  isQid(n__u) -> tt
  nil -> n__nil
  o -> n__o
  u -> n__u
  
   the pairs 
  U24#(tt, V1, V2) -> U25#(isList(activate(V1)), activate(V2))
  U24#(tt, V1, V2) -> isList#(activate(V1))
  U44#(tt, V1, V2) -> U45#(isList(activate(V1)), activate(V2))
  U44#(tt, V1, V2) -> isList#(activate(V1))
  U54#(tt, V1, V2) -> isNeList#(activate(V1))
  U55#(tt, V2) -> isList#(activate(V2))
  isList#(n____(V1, V2)) -> U21#(isPalListKind(activate(V1)), activate(V1), activate(V2))
  isNeList#(n____(V1, V2)) -> U41#(isPalListKind(activate(V1)), activate(V1), activate(V2))
  isNeList#(n____(V1, V2)) -> U51#(isPalListKind(activate(V1)), activate(V1), activate(V2))
  
  could not apply the generic reduction pair processor with the following
  Argument Filter: 
  pi(U11#/2) = [2]
  pi(tt/0) = []
  pi(U12#/2) = [2]
  pi(isPalListKind/1) = [1]
  pi(activate/1) = 1
  pi(isNeList#/1) = [1]
  pi(n____/2) = [1,2]
  pi(U41#/3) = [2,3]
  pi(U42#/3) = [2,3]
  pi(U43#/3) = [2,3]
  pi(U44#/3) = [2,3]
  pi(U45#/2) = [2]
  pi(isList/1) = []
  pi(U51#/3) = [2,3]
  pi(U52#/3) = [2,3]
  pi(U53#/3) = [2,3]
  pi(U54#/3) = [2,3]
  pi(U55#/2) = [1,2]
  pi(isNeList/1) = 1
  pi(isList#/1) = [1]
  pi(U21#/3) = [2,3]
  pi(U22#/3) = [2,3]
  pi(U23#/3) = [2,3]
  pi(U24#/3) = [2,3]
  pi(U25#/2) = [2]
  pi(n__nil/0) = []
  pi(nil/0) = []
  pi(__/2) = [1,2]
  pi(n__a/0) = []
  pi(a/0) = []
  pi(n__e/0) = []
  pi(e/0) = []
  pi(n__i/0) = []
  pi(i/0) = []
  pi(n__o/0) = []
  pi(o/0) = []
  pi(n__u/0) = []
  pi(u/0) = []
  pi(U91/2) = []
  pi(U11/2) = []
  pi(U21/3) = []
  pi(U31/2) = 2
  pi(U41/3) = [2,3]
  pi(U51/3) = [2,3]
  pi(U42/3) = [2,3]
  pi(U12/2) = []
  pi(U22/3) = []
  pi(U52/3) = [2]
  pi(U43/3) = [3]
  pi(U13/1) = []
  pi(U23/3) = []
  pi(U53/3) = [2]
  pi(U44/3) = [3]
  pi(U24/3) = []
  pi(U54/3) = [2]
  pi(U45/2) = [2]
  pi(U25/2) = []
  pi(U55/2) = [1]
  pi(U46/1) = [1]
  pi(U26/1) = []
  pi(U56/1) = [1]
  pi(U32/2) = 2
  pi(U33/1) = 1
  pi(isQid/1) = 1
  pi(U92/1) = [1]
  
  RPO with the following precedence
  precedence(U11#[2]) = 7
  precedence(tt[0]) = 6
  precedence(U12#[2]) = 7
  precedence(isPalListKind[1]) = 1
  precedence(isNeList#[1]) = 7
  precedence(n____[2]) = 9
  precedence(U41#[3]) = 7
  precedence(U42#[3]) = 7
  precedence(U43#[3]) = 7
  precedence(U44#[3]) = 7
  precedence(U45#[2]) = 7
  precedence(isList[1]) = 6
  precedence(U51#[3]) = 7
  precedence(U52#[3]) = 7
  precedence(U53#[3]) = 7
  precedence(U54#[3]) = 7
  precedence(U55#[2]) = 7
  precedence(isList#[1]) = 7
  precedence(U21#[3]) = 7
  precedence(U22#[3]) = 7
  precedence(U23#[3]) = 7
  precedence(U24#[3]) = 7
  precedence(U25#[2]) = 7
  precedence(n__nil[0]) = 10
  precedence(nil[0]) = 10
  precedence(__[2]) = 9
  precedence(n__a[0]) = 11
  precedence(a[0]) = 11
  precedence(n__e[0]) = 12
  precedence(e[0]) = 12
  precedence(n__i[0]) = 13
  precedence(i[0]) = 13
  precedence(n__o[0]) = 14
  precedence(o[0]) = 14
  precedence(n__u[0]) = 15
  precedence(u[0]) = 15
  precedence(U91[2]) = 16
  precedence(U11[2]) = 6
  precedence(U21[3]) = 6
  precedence(U41[3]) = 3
  precedence(U51[3]) = 8
  precedence(U42[3]) = 3
  precedence(U12[2]) = 6
  precedence(U22[3]) = 6
  precedence(U52[3]) = 4
  precedence(U43[3]) = 2
  precedence(U13[1]) = 6
  precedence(U23[3]) = 6
  precedence(U53[3]) = 0
  precedence(U44[3]) = 2
  precedence(U24[3]) = 6
  precedence(U54[3]) = 0
  precedence(U45[2]) = 0
  precedence(U25[2]) = 6
  precedence(U55[2]) = 0
  precedence(U46[1]) = 0
  precedence(U26[1]) = 6
  precedence(U56[1]) = 0
  precedence(U92[1]) = 5
  
  precedence(_) = 0
  and the following status
  status(U11#[2]) = mul
  status(tt[0]) = mul
  status(U12#[2]) = mul
  status(isPalListKind[1]) = mul
  status(isNeList#[1]) = mul
  status(n____[2]) = lex
  status(U41#[3]) = mul
  status(U42#[3]) = mul
  status(U43#[3]) = mul
  status(U44#[3]) = mul
  status(U45#[2]) = mul
  status(isList[1]) = lex
  status(U51#[3]) = mul
  status(U52#[3]) = mul
  status(U53#[3]) = mul
  status(U54#[3]) = mul
  status(U55#[2]) = mul
  status(isList#[1]) = mul
  status(U21#[3]) = mul
  status(U22#[3]) = mul
  status(U23#[3]) = mul
  status(U24#[3]) = mul
  status(U25#[2]) = mul
  status(n__nil[0]) = mul
  status(nil[0]) = mul
  status(__[2]) = lex
  status(n__a[0]) = mul
  status(a[0]) = mul
  status(n__e[0]) = mul
  status(e[0]) = mul
  status(n__i[0]) = mul
  status(i[0]) = mul
  status(n__o[0]) = mul
  status(o[0]) = mul
  status(n__u[0]) = mul
  status(u[0]) = mul
  status(U91[2]) = mul
  status(U11[2]) = lex
  status(U21[3]) = lex
  status(U41[3]) = mul
  status(U51[3]) = mul
  status(U42[3]) = mul
  status(U12[2]) = lex
  status(U22[3]) = lex
  status(U52[3]) = mul
  status(U43[3]) = mul
  status(U13[1]) = lex
  status(U23[3]) = lex
  status(U53[3]) = mul
  status(U44[3]) = mul
  status(U24[3]) = lex
  status(U54[3]) = mul
  status(U45[2]) = mul
  status(U25[2]) = lex
  status(U55[2]) = mul
  status(U46[1]) = mul
  status(U26[1]) = lex
  status(U56[1]) = mul
  status(U92[1]) = mul
  
  status(_) = lex
  
  problem when orienting (usable) rules
  could not orient U55(tt, V2) >= U56(isList(activate(V2)))
  pi( U55(tt, V2) ) = U55(tt)
  pi( U56(isList(activate(V2))) ) = U56(isList)
  could not orient U55(tt) >=RPO U56(isList)