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