(VAR M N V1 V2 )
(STRATEGY CONTEXTSENSITIVE
        (U11 1) 
        (tt ) 
        (U12 1) 
        (isNatKind ) 
        (U13 1) 
        (U14 1) 
        (U15 1) 
        (isNat ) 
        (U16 1) 
        (U21 1) 
        (U22 1) 
        (U23 1) 
        (U31 1) 
        (U32 1) 
        (U41 1) 
        (U51 1) 
        (U52 1) 
        (U61 1) 
        (U62 1) 
        (U63 1) 
        (U64 1) 
        (s 1) 
        (plus 1 2) 
        (0 ) 
)
(RULES 
        U11(tt, V1, V2) -> U12(isNatKind(V1), V1, V2)
        U12(tt, V1, V2) -> U13(isNatKind(V2), V1, V2)
        U13(tt, V1, V2) -> U14(isNatKind(V2), V1, V2)
        U14(tt, V1, V2) -> U15(isNat(V1), V2)
        U15(tt, V2) -> U16(isNat(V2))
        U16(tt) -> tt
        U21(tt, V1) -> U22(isNatKind(V1), V1)
        U22(tt, V1) -> U23(isNat(V1))
        U23(tt) -> tt
        U31(tt, V2) -> U32(isNatKind(V2))
        U32(tt) -> tt
        U41(tt) -> tt
        U51(tt, N) -> U52(isNatKind(N), N)
        U52(tt, N) -> N
        U61(tt, M, N) -> U62(isNatKind(M), M, N)
        U62(tt, M, N) -> U63(isNat(N), M, N)
        U63(tt, M, N) -> U64(isNatKind(N), M, N)
        U64(tt, M, N) -> s(plus(N, M))
        isNat(0) -> tt
        isNat(plus(V1, V2)) -> U11(isNatKind(V1), V1, V2)
        isNat(s(V1)) -> U21(isNatKind(V1), V1)
        isNatKind(0) -> tt
        isNatKind(plus(V1, V2)) -> U31(isNatKind(V1), V2)
        isNatKind(s(V1)) -> U41(isNatKind(V1))
        plus(N, 0) -> U51(isNat(N), N)
        plus(N, s(M)) -> U61(isNat(M), M, N)
        
)