MAYBE * Step 1: Failure MAYBE + Considered Problem: - Strict TRS: compare_list#2(Cons(x4,x2),Nil()) -> False() compare_list#2(Cons(x8,x6),Cons(x4,x2)) -> ite2#3(eqNat#2(x8,x4),compare_list#2(x6,x2),ltNat#2(x8,x4)) compare_list#2(Nil(),x2) -> True() eqNat#2(0(),0()) -> True() eqNat#2(0(),S(x12)) -> False() eqNat#2(S(x12),0()) -> False() eqNat#2(S(x4),S(x2)) -> eqNat#2(x4,x2) insert#3(x14,Cons(x10,x6)) -> ite_cond#2(compare_list#2(x10,x14) ,Cons(x10,insert#3(x14,x6)) ,Cons(x14,Cons(x10,x6))) insert#3(x2,Nil()) -> Cons(x2,Nil()) isort#2(Cons(x4,x2)) -> insert#3(x4,isort#2(x2)) isort#2(Nil()) -> Nil() ite2#3(False(),x40,x48) -> x48 ite2#3(True(),x40,x48) -> x40 ite_cond#2(False(),Cons(x8,x10),Cons(x2,Cons(x4,x6))) -> Cons(x2,Cons(x4,x6)) ite_cond#2(True(),Cons(x8,x10),Cons(x2,Cons(x4,x6))) -> Cons(x8,x10) ltNat#2(x8,0()) -> False() ltNat#2(0(),S(x16)) -> True() ltNat#2(S(x4),S(x2)) -> ltNat#2(x4,x2) main(x1) -> isort#2(x1) - Signature: {compare_list#2/2,eqNat#2/2,insert#3/2,isort#2/1,ite2#3/3,ite_cond#2/3,ltNat#2/2,main/1} / {0/0,Cons/2 ,False/0,Nil/0,S/1,True/0} - Obligation: innermost runtime complexity wrt. defined symbols {compare_list#2,eqNat#2,insert#3,isort#2,ite2#3,ite_cond#2 ,ltNat#2,main} and constructors {0,Cons,False,Nil,S,True} + Applied Processor: EmptyProcessor + Details: The problem is still open. MAYBE