YES

Problem:
 -(-(neg(x),neg(x)),-(neg(y),neg(y))) -> -(-(x,y),-(x,y))

Proof:
 DP Processor:
  DPs:
   -#(-(neg(x),neg(x)),-(neg(y),neg(y))) -> -#(x,y)
   -#(-(neg(x),neg(x)),-(neg(y),neg(y))) -> -#(-(x,y),-(x,y))
  TRS:
   -(-(neg(x),neg(x)),-(neg(y),neg(y))) -> -(-(x,y),-(x,y))
  Arctic Interpretation Processor:
   dimension: 1
   interpretation:
    [-#](x0, x1) = 1x0 + 5x1 + 0,
    
    [-](x0, x1) = x1,
    
    [neg](x0) = 2x0 + 1
   orientation:
    -#(-(neg(x),neg(x)),-(neg(y),neg(y))) = 3x + 7y + 6 >= 1x + 5y + 0 = -#(x,y)
    
    -#(-(neg(x),neg(x)),-(neg(y),neg(y))) = 3x + 7y + 6 >= 5y + 0 = -#(-(x,y),-(x,y))
    
    -(-(neg(x),neg(x)),-(neg(y),neg(y))) = 2y + 1 >= y = -(-(x,y),-(x,y))
   problem:
    DPs:
     
    TRS:
     -(-(neg(x),neg(x)),-(neg(y),neg(y))) -> -(-(x,y),-(x,y))
   Qed