MAYBE * Step 1: Failure MAYBE + Considered Problem: - Strict TRS: 0() -> n__0() U11(tt(),V2) -> U12(isNat(activate(V2))) U12(tt()) -> tt() U21(tt()) -> tt() U31(tt(),V2) -> U32(isNat(activate(V2))) U32(tt()) -> tt() U41(tt(),N) -> activate(N) U51(tt(),M,N) -> U52(isNat(activate(N)),activate(M),activate(N)) U52(tt(),M,N) -> s(plus(activate(N),activate(M))) U61(tt()) -> 0() U71(tt(),M,N) -> U72(isNat(activate(N)),activate(M),activate(N)) U72(tt(),M,N) -> plus(x(activate(N),activate(M)),activate(N)) activate(X) -> X activate(n__0()) -> 0() activate(n__plus(X1,X2)) -> plus(activate(X1),activate(X2)) activate(n__s(X)) -> s(activate(X)) activate(n__x(X1,X2)) -> x(activate(X1),activate(X2)) isNat(n__0()) -> tt() isNat(n__plus(V1,V2)) -> U11(isNat(activate(V1)),activate(V2)) isNat(n__s(V1)) -> U21(isNat(activate(V1))) isNat(n__x(V1,V2)) -> U31(isNat(activate(V1)),activate(V2)) plus(N,0()) -> U41(isNat(N),N) plus(N,s(M)) -> U51(isNat(M),M,N) plus(X1,X2) -> n__plus(X1,X2) s(X) -> n__s(X) x(N,0()) -> U61(isNat(N)) x(N,s(M)) -> U71(isNat(M),M,N) x(X1,X2) -> n__x(X1,X2) - Signature: {0/0,U11/2,U12/1,U21/1,U31/2,U32/1,U41/2,U51/3,U52/3,U61/1,U71/3,U72/3,activate/1,isNat/1,plus/2,s/1 ,x/2} / {n__0/0,n__plus/2,n__s/1,n__x/2,tt/0} - Obligation: innermost runtime complexity wrt. defined symbols {0,U11,U12,U21,U31,U32,U41,U51,U52,U61,U71,U72,activate ,isNat,plus,s,x} and constructors {n__0,n__plus,n__s,n__x,tt} + Applied Processor: MI {miKind = Automaton Nothing, miDimension = 3, miUArgs = NoUArgs, miURules = NoURules, miSelector = Nothing} + Details: Incompatible MAYBE