YES

Problem:
 r(e(x1)) -> w(r(x1))
 i(t(x1)) -> e(r(x1))
 e(w(x1)) -> r(i(x1))
 t(e(x1)) -> r(e(x1))
 w(r(x1)) -> i(t(x1))
 e(r(x1)) -> e(w(x1))
 r(i(t(e(r(x1))))) -> e(w(r(i(t(e(x1))))))

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [i](x0) = x0,
   
   [r](x0) = x0 + 2,
   
   [t](x0) = x0 + 3,
   
   [e](x0) = x0 + 1,
   
   [w](x0) = x0 + 1
  orientation:
   r(e(x1)) = x1 + 3 >= x1 + 3 = w(r(x1))
   
   i(t(x1)) = x1 + 3 >= x1 + 3 = e(r(x1))
   
   e(w(x1)) = x1 + 2 >= x1 + 2 = r(i(x1))
   
   t(e(x1)) = x1 + 4 >= x1 + 3 = r(e(x1))
   
   w(r(x1)) = x1 + 3 >= x1 + 3 = i(t(x1))
   
   e(r(x1)) = x1 + 3 >= x1 + 2 = e(w(x1))
   
   r(i(t(e(r(x1))))) = x1 + 8 >= x1 + 8 = e(w(r(i(t(e(x1))))))
  problem:
   r(e(x1)) -> w(r(x1))
   i(t(x1)) -> e(r(x1))
   e(w(x1)) -> r(i(x1))
   w(r(x1)) -> i(t(x1))
   r(i(t(e(r(x1))))) -> e(w(r(i(t(e(x1))))))
  String Reversal Processor:
   e(r(x1)) -> r(w(x1))
   t(i(x1)) -> r(e(x1))
   w(e(x1)) -> i(r(x1))
   r(w(x1)) -> t(i(x1))
   r(e(t(i(r(x1))))) -> e(t(i(r(w(e(x1))))))
   Matrix Interpretation Processor: dim=3
    
    interpretation:
               [1 0 0]  
     [i](x0) = [0 0 0]x0
               [0 1 0]  ,
     
               [1 1 0]     [0]
     [r](x0) = [0 0 0]x0 + [1]
               [1 0 0]     [0],
     
               [1 0 1]     [0]
     [t](x0) = [0 0 0]x0 + [1]
               [1 0 1]     [0],
     
               [1 0 0]  
     [e](x0) = [0 1 0]x0
               [1 0 0]  ,
     
               [1 1 0]     [0]
     [w](x0) = [0 0 0]x0 + [0]
               [0 0 0]     [1]
    orientation:
                [1 1 0]     [0]    [1 1 0]     [0]           
     e(r(x1)) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = r(w(x1))
                [1 1 0]     [0]    [1 1 0]     [0]           
     
                [1 1 0]     [0]    [1 1 0]     [0]           
     t(i(x1)) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = r(e(x1))
                [1 1 0]     [0]    [1 0 0]     [0]           
     
                [1 1 0]     [0]    [1 1 0]     [0]           
     w(e(x1)) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = i(r(x1))
                [0 0 0]     [1]    [0 0 0]     [1]           
     
                [1 1 0]     [0]    [1 1 0]     [0]           
     r(w(x1)) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = t(i(x1))
                [1 1 0]     [0]    [1 1 0]     [0]           
     
                         [1 1 0]     [2]    [1 1 0]     [1]                       
     r(e(t(i(r(x1))))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = e(t(i(r(w(e(x1))))))
                         [1 1 0]     [1]    [1 1 0]     [1]                       
    problem:
     e(r(x1)) -> r(w(x1))
     t(i(x1)) -> r(e(x1))
     w(e(x1)) -> i(r(x1))
     r(w(x1)) -> t(i(x1))
    String Reversal Processor:
     r(e(x1)) -> w(r(x1))
     i(t(x1)) -> e(r(x1))
     e(w(x1)) -> r(i(x1))
     w(r(x1)) -> i(t(x1))
     WPO Processor:
      algebra: Sum
      weight function:
       w0 = 0
       w(t) = 2
       w(w) = w(r) = w(e) = 1
       w(i) = 0
      status function:
       st(i) = st(t) = st(w) = st(r) = st(e) = [0]
      precedence:
       r > w > i > t ~ e
      problem:
       
      Qed