MAYBE
* Step 1: WeightGap MAYBE
    + Considered Problem:
        - Strict TRS:
            ack(0(),y) -> s(y)
            ack(s(x),0()) -> ack(x,s(0()))
            ack(s(x),s(y)) -> ack(x,ack(s(x),y))
        - Signature:
            {ack/2} / {0/0,s/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {ack} and constructors {0,s}
    + Applied Processor:
        WeightGap {wgDimension = 1, wgDegree = 1, wgKind = Algebraic, wgUArgs = UArgs, wgOn = WgOnAny}
    + Details:
        The weightgap principle applies using the following nonconstant growth matrix-interpretation:
          We apply a matrix interpretation of kind constructor based matrix interpretation:
          The following argument positions are considered usable:
            uargs(ack) = {2}
          
          Following symbols are considered usable:
            all
          TcT has computed the following interpretation:
              p(0) = [2]          
            p(ack) = [1] x2 + [1] 
              p(s) = [1] x1 + [13]
          
          Following rules are strictly oriented:
          ack(s(x),s(y)) = [1] y + [14]      
                         > [1] y + [2]       
                         = ack(x,ack(s(x),y))
          
          
          Following rules are (at-least) weakly oriented:
             ack(0(),y) =  [1] y + [1]  
                        >= [1] y + [13] 
                        =  s(y)         
          
          ack(s(x),0()) =  [3]          
                        >= [16]         
                        =  ack(x,s(0()))
          
        Further, it can be verified that all rules not oriented are covered by the weightgap condition.
* Step 2: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          ack(0(),y) -> s(y)
          ack(s(x),0()) -> ack(x,s(0()))
      - Weak TRS:
          ack(s(x),s(y)) -> ack(x,ack(s(x),y))
      - Signature:
          {ack/2} / {0/0,s/1}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {ack} and constructors {0,s}
  + Applied Processor:
      EmptyProcessor
  + Details:
      The problem is still open.
MAYBE