MAYBE * Step 1: Failure MAYBE + Considered Problem: - Strict TRS: eq(0(),0()) -> true() eq(0(),s(Y)) -> false() eq(s(X),0()) -> false() eq(s(X),s(Y)) -> eq(X,Y) ifmin(false(),cons(N,cons(M,L))) -> min(cons(M,L)) ifmin(true(),cons(N,cons(M,L))) -> min(cons(N,L)) ifrepl(false(),N,M,cons(K,L)) -> cons(K,replace(N,M,L)) ifrepl(true(),N,M,cons(K,L)) -> cons(M,L) ifselsort(false(),cons(N,L)) -> cons(min(cons(N,L)),selsort(replace(min(cons(N,L)),N,L))) ifselsort(true(),cons(N,L)) -> cons(N,selsort(L)) le(0(),Y) -> true() le(s(X),0()) -> false() le(s(X),s(Y)) -> le(X,Y) min(cons(N,cons(M,L))) -> ifmin(le(N,M),cons(N,cons(M,L))) min(cons(0(),nil())) -> 0() min(cons(s(N),nil())) -> s(N) replace(N,M,cons(K,L)) -> ifrepl(eq(N,K),N,M,cons(K,L)) replace(N,M,nil()) -> nil() selsort(cons(N,L)) -> ifselsort(eq(N,min(cons(N,L))),cons(N,L)) selsort(nil()) -> nil() - Signature: {eq/2,ifmin/2,ifrepl/4,ifselsort/2,le/2,min/1,replace/3,selsort/1} / {0/0,cons/2,false/0,nil/0,s/1,true/0} - Obligation: innermost runtime complexity wrt. defined symbols {eq,ifmin,ifrepl,ifselsort,le,min,replace ,selsort} and constructors {0,cons,false,nil,s,true} + Applied Processor: Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = MiniSMT} + Details: The input can not be schown compatible. MAYBE