WORST_CASE(?,O(n^1))
* Step 1: NaturalPI WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            f(x,x,y) -> x
            f(x,y,y) -> y
            f(x,y,g(y)) -> x
            f(f(x,y,z),u,f(x,y,v)) -> f(x,y,f(z,u,v))
            f(g(x),x,y) -> y
        - Signature:
            {f/3} / {g/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {f} and constructors {g}
    + Applied Processor:
        NaturalPI {shape = StronglyLinear, restrict = NoRestrict, uargs = UArgs, urules = URules, selector = Nothing}
    + Details:
        We apply a polynomial interpretation of kind constructor-based(stronglyLinear):
        The following argument positions are considered usable:
          uargs(f) = {3}
        
        Following symbols are considered usable:
          {f}
        TcT has computed the following interpretation:
          p(f) = 8 + x1 + x3
          p(g) = 0          
        
        Following rules are strictly oriented:
                      f(x,x,y) = 8 + x + y       
                               > x               
                               = x               
        
                      f(x,y,y) = 8 + x + y       
                               > y               
                               = y               
        
                   f(x,y,g(y)) = 8 + x           
                               > x               
                               = x               
        
        f(f(x,y,z),u,f(x,y,v)) = 24 + v + 2*x + z
                               > 16 + v + x + z  
                               = f(x,y,f(z,u,v)) 
        
                   f(g(x),x,y) = 8 + y           
                               > y               
                               = y               
        
        
        Following rules are (at-least) weakly oriented:
        

WORST_CASE(?,O(n^1))