MAYBE
0.17/0.21	MAYBE
0.17/0.21	
0.17/0.21	Problem:
0.17/0.21	 U11(tt(),V1,V2) -> U12(isNat(activate(V1)),activate(V2))
0.17/0.21	 U12(tt(),V2) -> U13(isNat(activate(V2)))
0.17/0.21	 U13(tt()) -> tt()
0.17/0.21	 U21(tt(),V1) -> U22(isNat(activate(V1)))
0.17/0.21	 U22(tt()) -> tt()
0.17/0.21	 U31(tt(),V1,V2) -> U32(isNat(activate(V1)),activate(V2))
0.17/0.21	 U32(tt(),V2) -> U33(isNat(activate(V2)))
0.17/0.21	 U33(tt()) -> tt()
0.17/0.21	 U41(tt(),N) -> activate(N)
0.17/0.21	 U51(tt(),M,N) -> s(plus(activate(N),activate(M)))
0.17/0.21	 U61(tt()) -> 0()
0.17/0.21	 U71(tt(),M,N) -> plus(x(activate(N),activate(M)),activate(N))
0.17/0.21	 and(tt(),X) -> activate(X)
0.17/0.21	 isNat(n__0()) -> tt()
0.17/0.21	 isNat(n__plus(V1,V2)) ->
0.17/0.21	 U11(and(isNatKind(activate(V1)),n__isNatKind(activate(V2))),activate(V1),activate(V2))
0.17/0.21	 isNat(n__s(V1)) -> U21(isNatKind(activate(V1)),activate(V1))
0.17/0.21	 isNat(n__x(V1,V2)) ->
0.17/0.21	 U31(and(isNatKind(activate(V1)),n__isNatKind(activate(V2))),activate(V1),activate(V2))
0.17/0.21	 isNatKind(n__0()) -> tt()
0.17/0.21	 isNatKind(n__plus(V1,V2)) -> and(isNatKind(activate(V1)),n__isNatKind(activate(V2)))
0.17/0.21	 isNatKind(n__s(V1)) -> isNatKind(activate(V1))
0.17/0.21	 isNatKind(n__x(V1,V2)) -> and(isNatKind(activate(V1)),n__isNatKind(activate(V2)))
0.17/0.21	 plus(N,0()) -> U41(and(isNat(N),n__isNatKind(N)),N)
0.17/0.21	 plus(N,s(M)) -> U51(and(and(isNat(M),n__isNatKind(M)),n__and(n__isNat(N),n__isNatKind(N))),M,N)
0.17/0.21	 x(N,0()) -> U61(and(isNat(N),n__isNatKind(N)))
0.17/0.21	 x(N,s(M)) -> U71(and(and(isNat(M),n__isNatKind(M)),n__and(n__isNat(N),n__isNatKind(N))),M,N)
0.17/0.21	 0() -> n__0()
0.17/0.21	 plus(X1,X2) -> n__plus(X1,X2)
0.17/0.21	 isNatKind(X) -> n__isNatKind(X)
0.17/0.21	 s(X) -> n__s(X)
0.17/0.21	 x(X1,X2) -> n__x(X1,X2)
0.17/0.21	 and(X1,X2) -> n__and(X1,X2)
0.17/0.21	 isNat(X) -> n__isNat(X)
0.17/0.21	 activate(n__0()) -> 0()
0.17/0.21	 activate(n__plus(X1,X2)) -> plus(activate(X1),activate(X2))
0.17/0.21	 activate(n__isNatKind(X)) -> isNatKind(X)
0.17/0.21	 activate(n__s(X)) -> s(activate(X))
0.17/0.21	 activate(n__x(X1,X2)) -> x(activate(X1),activate(X2))
0.17/0.21	 activate(n__and(X1,X2)) -> and(activate(X1),X2)
0.17/0.21	 activate(n__isNat(X)) -> isNat(X)
0.17/0.21	 activate(X) -> X
0.17/0.21	
0.17/0.21	Proof:
0.17/0.21	 Open
0.17/0.22	EOF