MAYBE
* Step 1: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          a__U11(X1,X2,X3) -> U11(X1,X2,X3)
          a__U11(tt(),V1,V2) -> a__U12(a__isNat(V1),V2)
          a__U12(X1,X2) -> U12(X1,X2)
          a__U12(tt(),V2) -> a__U13(a__isNat(V2))
          a__U13(X) -> U13(X)
          a__U13(tt()) -> tt()
          a__U21(X1,X2) -> U21(X1,X2)
          a__U21(tt(),V1) -> a__U22(a__isNat(V1))
          a__U22(X) -> U22(X)
          a__U22(tt()) -> tt()
          a__U31(X1,X2) -> U31(X1,X2)
          a__U31(tt(),N) -> mark(N)
          a__U41(X1,X2,X3) -> U41(X1,X2,X3)
          a__U41(tt(),M,N) -> s(a__plus(mark(N),mark(M)))
          a__and(X1,X2) -> and(X1,X2)
          a__and(tt(),X) -> mark(X)
          a__isNat(X) -> isNat(X)
          a__isNat(0()) -> tt()
          a__isNat(plus(V1,V2)) -> a__U11(a__and(a__isNatKind(V1),isNatKind(V2)),V1,V2)
          a__isNat(s(V1)) -> a__U21(a__isNatKind(V1),V1)
          a__isNatKind(X) -> isNatKind(X)
          a__isNatKind(0()) -> tt()
          a__isNatKind(plus(V1,V2)) -> a__and(a__isNatKind(V1),isNatKind(V2))
          a__isNatKind(s(V1)) -> a__isNatKind(V1)
          a__plus(N,0()) -> a__U31(a__and(a__isNat(N),isNatKind(N)),N)
          a__plus(N,s(M)) -> a__U41(a__and(a__and(a__isNat(M),isNatKind(M)),and(isNat(N),isNatKind(N))),M,N)
          a__plus(X1,X2) -> plus(X1,X2)
          mark(0()) -> 0()
          mark(U11(X1,X2,X3)) -> a__U11(mark(X1),X2,X3)
          mark(U12(X1,X2)) -> a__U12(mark(X1),X2)
          mark(U13(X)) -> a__U13(mark(X))
          mark(U21(X1,X2)) -> a__U21(mark(X1),X2)
          mark(U22(X)) -> a__U22(mark(X))
          mark(U31(X1,X2)) -> a__U31(mark(X1),X2)
          mark(U41(X1,X2,X3)) -> a__U41(mark(X1),X2,X3)
          mark(and(X1,X2)) -> a__and(mark(X1),X2)
          mark(isNat(X)) -> a__isNat(X)
          mark(isNatKind(X)) -> a__isNatKind(X)
          mark(plus(X1,X2)) -> a__plus(mark(X1),mark(X2))
          mark(s(X)) -> s(mark(X))
          mark(tt()) -> tt()
      - Signature:
          {a__U11/3,a__U12/2,a__U13/1,a__U21/2,a__U22/1,a__U31/2,a__U41/3,a__and/2,a__isNat/1,a__isNatKind/1,a__plus/2
          ,mark/1} / {0/0,U11/3,U12/2,U13/1,U21/2,U22/1,U31/2,U41/3,and/2,isNat/1,isNatKind/1,plus/2,s/1,tt/0}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {a__U11,a__U12,a__U13,a__U21,a__U22,a__U31,a__U41,a__and
          ,a__isNat,a__isNatKind,a__plus,mark} and constructors {0,U11,U12,U13,U21,U22,U31,U41,and,isNat,isNatKind
          ,plus,s,tt}
  + Applied Processor:
      MI {miKind = Automaton Nothing, miDimension = 3, miUArgs = NoUArgs, miURules = NoURules, miSelector = Nothing}
  + Details:
      Incompatible
MAYBE