* Step 1: Sum WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            active(eq(X,Y)) -> mark(false())
            active(eq(0(),0())) -> mark(true())
            active(eq(s(X),s(Y))) -> mark(eq(X,Y))
            active(inf(X)) -> inf(active(X))
            active(inf(X)) -> mark(cons(X,inf(s(X))))
            active(length(X)) -> length(active(X))
            active(length(cons(X,L))) -> mark(s(length(L)))
            active(length(nil())) -> mark(0())
            active(take(X1,X2)) -> take(X1,active(X2))
            active(take(X1,X2)) -> take(active(X1),X2)
            active(take(0(),X)) -> mark(nil())
            active(take(s(X),cons(Y,L))) -> mark(cons(Y,take(X,L)))
            cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
            eq(ok(X1),ok(X2)) -> ok(eq(X1,X2))
            inf(mark(X)) -> mark(inf(X))
            inf(ok(X)) -> ok(inf(X))
            length(mark(X)) -> mark(length(X))
            length(ok(X)) -> ok(length(X))
            proper(0()) -> ok(0())
            proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
            proper(eq(X1,X2)) -> eq(proper(X1),proper(X2))
            proper(false()) -> ok(false())
            proper(inf(X)) -> inf(proper(X))
            proper(length(X)) -> length(proper(X))
            proper(nil()) -> ok(nil())
            proper(s(X)) -> s(proper(X))
            proper(take(X1,X2)) -> take(proper(X1),proper(X2))
            proper(true()) -> ok(true())
            s(ok(X)) -> ok(s(X))
            take(X1,mark(X2)) -> mark(take(X1,X2))
            take(mark(X1),X2) -> mark(take(X1,X2))
            take(ok(X1),ok(X2)) -> ok(take(X1,X2))
            top(mark(X)) -> top(proper(X))
            top(ok(X)) -> top(active(X))
        - Signature:
            {active/1,cons/2,eq/2,inf/1,length/1,proper/1,s/1,take/2,top/1} / {0/0,false/0,mark/1,nil/0,ok/1,true/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {active,cons,eq,inf,length,proper,s,take
            ,top} and constructors {0,false,mark,nil,ok,true}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            active(eq(X,Y)) -> mark(false())
            active(eq(0(),0())) -> mark(true())
            active(eq(s(X),s(Y))) -> mark(eq(X,Y))
            active(inf(X)) -> inf(active(X))
            active(inf(X)) -> mark(cons(X,inf(s(X))))
            active(length(X)) -> length(active(X))
            active(length(cons(X,L))) -> mark(s(length(L)))
            active(length(nil())) -> mark(0())
            active(take(X1,X2)) -> take(X1,active(X2))
            active(take(X1,X2)) -> take(active(X1),X2)
            active(take(0(),X)) -> mark(nil())
            active(take(s(X),cons(Y,L))) -> mark(cons(Y,take(X,L)))
            cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
            eq(ok(X1),ok(X2)) -> ok(eq(X1,X2))
            inf(mark(X)) -> mark(inf(X))
            inf(ok(X)) -> ok(inf(X))
            length(mark(X)) -> mark(length(X))
            length(ok(X)) -> ok(length(X))
            proper(0()) -> ok(0())
            proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
            proper(eq(X1,X2)) -> eq(proper(X1),proper(X2))
            proper(false()) -> ok(false())
            proper(inf(X)) -> inf(proper(X))
            proper(length(X)) -> length(proper(X))
            proper(nil()) -> ok(nil())
            proper(s(X)) -> s(proper(X))
            proper(take(X1,X2)) -> take(proper(X1),proper(X2))
            proper(true()) -> ok(true())
            s(ok(X)) -> ok(s(X))
            take(X1,mark(X2)) -> mark(take(X1,X2))
            take(mark(X1),X2) -> mark(take(X1,X2))
            take(ok(X1),ok(X2)) -> ok(take(X1,X2))
            top(mark(X)) -> top(proper(X))
            top(ok(X)) -> top(active(X))
        - Signature:
            {active/1,cons/2,eq/2,inf/1,length/1,proper/1,s/1,take/2,top/1} / {0/0,false/0,mark/1,nil/0,ok/1,true/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {active,cons,eq,inf,length,proper,s,take
            ,top} and constructors {0,false,mark,nil,ok,true}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          cons(x,y){x -> ok(x),y -> ok(y)} =
            cons(ok(x),ok(y)) ->^+ ok(cons(x,y))
              = C[cons(x,y) = cons(x,y){}]

WORST_CASE(Omega(n^1),?)