MAYBE
* Step 1: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          gt(s(x),s(y)) -> gt(x,y)
          gt(s(x),zero()) -> true()
          gt(zero(),y) -> false()
          id(x) -> x
          if(false(),x,y) -> y
          if(true(),x,y) -> x
          not(x) -> if(x,false(),true())
          plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y))))
          plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x))
          plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y)))))
          plus(zero(),y) -> y
          times(x,0()) -> 0()
          times(x,plus(y,s(z))) -> plus(times(x,plus(y,times(s(z),0()))),times(x,s(z)))
          times(x,s(y)) -> plus(times(x,y),x)
      - Signature:
          {gt/2,id/1,if/3,not/1,plus/2,times/2} / {0/0,false/0,s/1,true/0,zero/0}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {gt,id,if,not,plus,times} and constructors {0,false,s,true
          ,zero}
  + Applied Processor:
      NaturalMI {miDimension = 3, miDegree = 3, miKind = Algebraic, uargs = UArgs, urules = URules, selector = Nothing}
  + Details:
      Incompatible
MAYBE