YES

TRS:

  U11(tt(),V1,V2) -> U12(isNat(activate(V1)),activate(V2))
  U12(tt(),V2) -> U13(isNat(activate(V2)))
  U13(tt()) -> tt()
  U21(tt(),V1) -> U22(isNat(activate(V1)))
  U22(tt()) -> tt()
  U31(tt(),N) -> activate(N)
  U41(tt(),M,N) -> s(plus(activate(N),activate(M)))
  and(tt(),X) -> activate(X)
  isNat(n__0()) -> tt()
  isNat(n__plus(V1,V2)) -> U11(and(isNatKind(activate(V1)),n__isNatKind(activate(V2))),activate(V1),activate(V2))
  isNat(n__s(V1)) -> U21(isNatKind(activate(V1)),activate(V1))
  isNatKind(n__0()) -> tt()
  isNatKind(n__plus(V1,V2)) -> and(isNatKind(activate(V1)),n__isNatKind(activate(V2)))
  isNatKind(n__s(V1)) -> isNatKind(activate(V1))
  plus(N,0()) -> U31(and(isNat(N),n__isNatKind(N)),N)
  plus(N,s(M)) -> U41(and(and(isNat(M),n__isNatKind(M)),n__and(n__isNat(N),n__isNatKind(N))),M,N)
  0() -> n__0()
  plus(X1,X2) -> n__plus(X1,X2)
  isNatKind(X) -> n__isNatKind(X)
  s(X) -> n__s(X)
  and(X1,X2) -> n__and(X1,X2)
  isNat(X) -> n__isNat(X)
  activate(n__0()) -> 0()
  activate(n__plus(X1,X2)) -> plus(activate(X1),activate(X2))
  activate(n__isNatKind(X)) -> isNatKind(X)
  activate(n__s(X)) -> s(activate(X))
  activate(n__and(X1,X2)) -> and(activate(X1),X2)
  activate(n__isNat(X)) -> isNat(X)
  activate(X) -> X

linear polynomial interpretations on N:

  U11_A(x1,x2,x3) = 2
  U11#_A(x1,x2,x3) = x2 + x3 + 7
  tt_A = 2
  tt#_A = 3
  U12_A(x1,x2) = x1
  U12#_A(x1,x2) = x2 + 6
  isNat_A(x1) = 2
  isNat#_A(x1) = 5
  activate_A(x1) = x1
  activate#_A(x1) = x1 + 4
  U13_A(x1) = x1
  U13#_A(x1) = x1 + 2
  U21_A(x1,x2) = 2
  U21#_A(x1,x2) = x2 + 6
  U22_A(x1) = 2
  U22#_A(x1) = x1
  U31_A(x1,x2) = x2
  U31#_A(x1,x2) = x2 + 5
  U41_A(x1,x2,x3) = x2 + x3 + 13
  U41#_A(x1,x2,x3) = x2 + x3 + 15
  s_A(x1) = x1 + 7
  s#_A(x1) = x1 + 8
  plus_A(x1,x2) = x1 + x2 + 6
  plus#_A(x1,x2) = x1 + x2 + 9
  and_A(x1,x2) = x1 + x2 + 2
  and#_A(x1,x2) = x2 + 5
  n__0_A = 0
  n__0#_A = 0
  n__plus_A(x1,x2) = x1 + x2 + 6
  n__plus#_A(x1,x2) = x1 + x2 + 8
  isNatKind_A(x1) = x1 + 2
  isNatKind#_A(x1) = x1 + 4
  n__isNatKind_A(x1) = x1 + 2
  n__isNatKind#_A(x1) = 3
  n__s_A(x1) = x1 + 7
  n__s#_A(x1) = x1 + 7
  0_A = 0
  0#_A = 1
  n__and_A(x1,x2) = x1 + x2 + 2
  n__and#_A(x1,x2) = x2 + 4
  n__isNat_A(x1) = 2
  n__isNat#_A(x1) = 0

precedence:

  plus > n__plus > U11 = isNatKind > U12 = n__isNatKind > isNat = U13 = U31 = U41 > tt = activate = n__isNat > s = 0 = n__and > and = n__0 = n__s > U21 > U22