MAYBE
* Step 1: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          app(x,y) -> helpa(0(),plus(length(x),length(y)),x,y)
          ge(x,0()) -> true()
          ge(0(),s(x)) -> false()
          ge(s(x),s(y)) -> ge(x,y)
          helpa(c,l,ys,zs) -> if(ge(c,l),c,l,ys,zs)
          helpb(c,l,ys,zs) -> cons(take(c,ys,zs),helpa(s(c),l,ys,zs))
          if(false(),c,l,ys,zs) -> helpb(c,l,ys,zs)
          if(true(),c,l,ys,zs) -> nil()
          length(cons(x,y)) -> s(length(y))
          length(nil()) -> 0()
          plus(x,0()) -> x
          plus(x,s(y)) -> s(plus(x,y))
          take(0(),cons(x,xs()),ys) -> x
          take(0(),nil(),cons(y,ys)) -> y
          take(s(c),cons(x,xs()),ys) -> take(c,xs(),ys)
          take(s(c),nil(),cons(y,ys)) -> take(c,nil(),ys)
      - Signature:
          {app/2,ge/2,helpa/4,helpb/4,if/5,length/1,plus/2,take/3} / {0/0,cons/2,false/0,nil/0,s/1,true/0,xs/0}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {app,ge,helpa,helpb,if,length,plus
          ,take} and constructors {0,cons,false,nil,s,true,xs}
  + Applied Processor:
      Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = Z3}
  + Details:
      The input can not be schown compatible.
MAYBE