YES(?,O(n^2))

Problem:
 *(i(x),x) -> 1()
 *(1(),y) -> y
 *(x,0()) -> 0()
 *(*(x,y),z) -> *(x,*(y,z))

Proof:
 Matrix Interpretation Processor:
  dimension: 2
  interpretation:
         [14]
   [0] = [7 ],
   
         [0]
   [1] = [1],
   
                 [1 1]          [2]
   [*](x0, x1) = [0 1]x0 + x1 + [9],
   
             [1 0]     [1]
   [i](x0) = [0 0]x0 + [7]
  orientation:
               [2 0]    [10]    [0]      
   *(i(x),x) = [0 1]x + [16] >= [1] = 1()
   
                  [3 ]         
   *(1(),y) = y + [10] >= y = y
   
              [1 1]    [16]    [14]      
   *(x,0()) = [0 1]x + [16] >= [7 ] = 0()
   
                 [1 2]    [1 1]        [13]    [1 1]    [1 1]        [4 ]              
   *(*(x,y),z) = [0 1]x + [0 1]y + z + [18] >= [0 1]x + [0 1]y + z + [18] = *(x,*(y,z))
  problem:
   
  Qed