MAYBE * Step 1: Failure MAYBE + Considered Problem: - Strict TRS: f#1(x1) -> mult#2(x1,mult#2(x1,x1)) main(x1) -> map#2(rmap#2(rmap1#2(x1,Nil()),Nil())) map#2(Cons(x36,x6)) -> Cons(x36,map#2(x6)) map#2(Nil()) -> Nil() mult#2(0(),x2) -> 0() mult#2(S(x4),x2) -> S(plus#2(mult#2(x4,x2),x2)) plus#2(x4,0()) -> x4 plus#2(x4,S(x2)) -> S(plus#2(x4,x2)) rmap#2(Cons(x36,x10),x6) -> rmap#2(x10,Cons(x36,x6)) rmap#2(Nil(),x2) -> x2 rmap1#2(Cons(x13,Nil()),x8) -> Cons(f#1(x13),x8) rmap1#2(Cons(x27,Cons(x2,x25)),x17) -> rmap1#2(x25,Cons(plus#2(x2,S(S(0()))),Cons(f#1(x27),x17))) rmap1#2(Nil(),x2) -> x2 - Signature: {f#1/1,main/1,map#2/1,mult#2/2,plus#2/2,rmap#2/2,rmap1#2/2} / {0/0,Cons/2,Nil/0,S/1} - Obligation: innermost runtime complexity wrt. defined symbols {f#1,main,map#2,mult#2,plus#2,rmap#2 ,rmap1#2} and constructors {0,Cons,Nil,S} + Applied Processor: EmptyProcessor + Details: The problem is still open. MAYBE