MAYBE
* Step 1: WeightGap MAYBE
    + Considered Problem:
        - Strict TRS:
            fib(0()) -> 0()
            fib(s(0())) -> s(0())
            fib(s(s(x))) -> +(fib(s(x)),fib(x))
        - Signature:
            {fib/1} / {+/2,0/0,s/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {fib} 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(+) = {1,2}
          
          Following symbols are considered usable:
            all
          TcT has computed the following interpretation:
              p(+) = [1] x1 + [1] x2 + [9]
              p(0) = [0]                  
            p(fib) = [8]                  
              p(s) = [4]                  
          
          Following rules are strictly oriented:
             fib(0()) = [8]   
                      > [0]   
                      = 0()   
          
          fib(s(0())) = [8]   
                      > [4]   
                      = s(0())
          
          
          Following rules are (at-least) weakly oriented:
          fib(s(s(x))) =  [8]                
                       >= [25]               
                       =  +(fib(s(x)),fib(x))
          
        Further, it can be verified that all rules not oriented are covered by the weightgap condition.
* Step 2: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          fib(s(s(x))) -> +(fib(s(x)),fib(x))
      - Weak TRS:
          fib(0()) -> 0()
          fib(s(0())) -> s(0())
      - Signature:
          {fib/1} / {+/2,0/0,s/1}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {fib} and constructors {+,0,s}
  + Applied Processor:
      EmptyProcessor
  + Details:
      The problem is still open.
MAYBE