MAYBE
* Step 1: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          app(add(n,x),y) -> add(n,app(x,y))
          app(nil(),y) -> y
          eq(0(),0()) -> true()
          eq(0(),s(x)) -> false()
          eq(s(x),0()) -> false()
          eq(s(x),s(y)) -> eq(x,y)
          head(add(n,x)) -> n
          if(false(),x,y,z) -> if2(eq(head(x),min(x)),x,y,z)
          if(true(),x,y,z) -> z
          if2(false(),x,y,z) -> mins(tail(x),add(head(x),y),z)
          if2(true(),x,y,z) -> mins(app(rm(head(x),tail(x)),y),nil(),app(z,add(head(x),nil())))
          if_min(false(),add(n,add(m,x))) -> min(add(m,x))
          if_min(true(),add(n,add(m,x))) -> min(add(n,x))
          if_rm(false(),n,add(m,x)) -> add(m,rm(n,x))
          if_rm(true(),n,add(m,x)) -> rm(n,x)
          le(0(),y) -> true()
          le(s(x),0()) -> false()
          le(s(x),s(y)) -> le(x,y)
          min(add(n,add(m,x))) -> if_min(le(n,m),add(n,add(m,x)))
          min(add(n,nil())) -> n
          mins(x,y,z) -> if(null(x),x,y,z)
          minsort(x) -> mins(x,nil(),nil())
          null(add(n,x)) -> false()
          null(nil()) -> true()
          rm(n,add(m,x)) -> if_rm(eq(n,m),n,add(m,x))
          rm(n,nil()) -> nil()
          tail(add(n,x)) -> x
          tail(nil()) -> nil()
      - Signature:
          {app/2,eq/2,head/1,if/4,if2/4,if_min/2,if_rm/3,le/2,min/1,mins/3,minsort/1,null/1,rm/2,tail/1} / {0/0,add/2
          ,false/0,nil/0,s/1,true/0}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {app,eq,head,if,if2,if_min,if_rm,le,min,mins,minsort,null
          ,rm,tail} and constructors {0,add,false,nil,s,true}
  + Applied Processor:
      NaturalMI {miDimension = 3, miDegree = 3, miKind = Algebraic, uargs = UArgs, urules = URules, selector = Nothing}
  + Details:
      Incompatible
MAYBE