YES
Time: 0.009985
TRS:
 {0 0 x -> 0 x,
  0 1 x -> 1 x,
  1 0 x -> 0 0 0 1 x,
  1 1 x -> 0 0 0 0 x}
 DP:
  DP:
   {1# 0 x -> 0# 0 0 1 x,
    1# 0 x -> 0# 0 1 x,
    1# 0 x -> 0# 1 x,
    1# 0 x -> 1# x,
    1# 1 x -> 0# x,
    1# 1 x -> 0# 0 x,
    1# 1 x -> 0# 0 0 x,
    1# 1 x -> 0# 0 0 0 x}
  TRS:
  {0 0 x -> 0 x,
   0 1 x -> 1 x,
   1 0 x -> 0 0 0 1 x,
   1 1 x -> 0 0 0 0 x}
  UR:
   {0 0 x -> 0 x,
    0 1 x -> 1 x,
    1 0 x -> 0 0 0 1 x,
    1 1 x -> 0 0 0 0 x}
   EDG:
    {(1# 0 x -> 1# x, 1# 0 x -> 0# 0 0 1 x)
     (1# 0 x -> 1# x, 1# 0 x -> 0# 0 1 x)
     (1# 0 x -> 1# x, 1# 0 x -> 0# 1 x)
     (1# 0 x -> 1# x, 1# 0 x -> 1# x)
     (1# 0 x -> 1# x, 1# 1 x -> 0# x)
     (1# 0 x -> 1# x, 1# 1 x -> 0# 0 x)
     (1# 0 x -> 1# x, 1# 1 x -> 0# 0 0 x)
     (1# 0 x -> 1# x, 1# 1 x -> 0# 0 0 0 x)}
    STATUS:
     arrows: 0.875000
     SCCS (1):
      Scc:
       {1# 0 x -> 1# x}
      
      SCC (1):
       Strict:
        {1# 0 x -> 1# x}
       Weak:
       {0 0 x -> 0 x,
        0 1 x -> 1 x,
        1 0 x -> 0 0 0 1 x,
        1 1 x -> 0 0 0 0 x}
       POLY:
        Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true
        Interpretation:
         [0](x0) = x0 + 1,
         
         [1](x0) = x0 + 1,
         
         [1#](x0) = x0 + 1
        Strict:
         1# 0 x -> 1# x
         2 + 1x >= 1 + 1x
        Weak:
         1 1 x -> 0 0 0 0 x
         2 + 1x >= 4 + 1x
         1 0 x -> 0 0 0 1 x
         2 + 1x >= 4 + 1x
         0 1 x -> 1 x
         2 + 1x >= 1 + 1x
         0 0 x -> 0 x
         2 + 1x >= 1 + 1x
       Qed