MAYBE * Step 1: Failure MAYBE + Considered Problem: - Strict TRS: activate(X) -> X activate(n__add(X1,X2)) -> add(activate(X1),activate(X2)) activate(n__from(X)) -> from(activate(X)) activate(n__fst(X1,X2)) -> fst(activate(X1),activate(X2)) activate(n__len(X)) -> len(activate(X)) activate(n__s(X)) -> s(X) add(X1,X2) -> n__add(X1,X2) add(0(),X) -> X add(s(X),Y) -> s(n__add(activate(X),Y)) from(X) -> cons(X,n__from(n__s(X))) from(X) -> n__from(X) fst(X1,X2) -> n__fst(X1,X2) fst(0(),Z) -> nil() fst(s(X),cons(Y,Z)) -> cons(Y,n__fst(activate(X),activate(Z))) len(X) -> n__len(X) len(cons(X,Z)) -> s(n__len(activate(Z))) len(nil()) -> 0() s(X) -> n__s(X) - Signature: {activate/1,add/2,from/1,fst/2,len/1,s/1} / {0/0,cons/2,n__add/2,n__from/1,n__fst/2,n__len/1,n__s/1,nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {activate,add,from,fst,len,s} and constructors {0,cons ,n__add,n__from,n__fst,n__len,n__s,nil} + Applied Processor: NaturalPI {shape = Mixed 3, restrict = NoRestrict, uargs = UArgs, urules = URules, selector = Nothing} + Details: Incompatible MAYBE