1.21/1.23	YES
1.21/1.23	Input TRS:
1.21/1.23	    1: 0(0(1(x1))) -> 0(1(2(0(x1))))
1.21/1.23	    2: 0(0(1(x1))) -> 0(3(1(0(x1))))
1.21/1.23	    3: 0(0(1(x1))) -> 1(0(4(0(x1))))
1.21/1.23	    4: 0(0(1(x1))) -> 0(1(3(0(2(x1)))))
1.21/1.23	    5: 0(0(1(x1))) -> 0(1(3(0(4(x1)))))
1.21/1.23	    6: 0(0(1(x1))) -> 0(2(0(1(2(x1)))))
1.21/1.23	    7: 0(0(1(x1))) -> 0(3(0(1(2(x1)))))
1.21/1.23	    8: 0(0(1(x1))) -> 0(3(0(3(1(x1)))))
1.21/1.23	    9: 0(0(1(x1))) -> 0(4(0(4(1(x1)))))
1.21/1.23	    10: 0(0(1(x1))) -> 1(2(0(2(0(x1)))))
1.21/1.23	    11: 0(0(1(x1))) -> 1(2(2(0(0(x1)))))
1.21/1.23	    12: 0(0(1(x1))) -> 0(0(2(2(1(2(x1))))))
1.21/1.23	    13: 0(0(1(x1))) -> 0(1(2(4(2(0(x1))))))
1.21/1.23	    14: 0(0(1(x1))) -> 1(2(0(3(0(4(x1))))))
1.21/1.23	    15: 0(1(1(x1))) -> 0(2(1(1(x1))))
1.21/1.23	    16: 0(1(1(x1))) -> 0(3(1(1(x1))))
1.21/1.23	    17: 0(1(1(x1))) -> 1(1(3(0(4(x1)))))
1.21/1.23	    18: 0(1(1(x1))) -> 1(2(0(2(1(x1)))))
1.21/1.23	    19: 0(1(1(x1))) -> 1(0(3(1(2(4(x1))))))
1.21/1.23	    20: 0(1(1(x1))) -> 1(0(4(2(1(2(x1))))))
1.21/1.23	    21: 0(1(1(x1))) -> 1(1(2(4(3(0(x1))))))
1.21/1.23	    22: 0(1(1(x1))) -> 1(2(1(0(4(4(x1))))))
1.21/1.23	    23: 0(1(1(x1))) -> 1(2(2(1(3(0(x1))))))
1.21/1.23	    24: 0(5(1(x1))) -> 0(3(1(5(x1))))
1.21/1.23	    25: 0(5(1(x1))) -> 0(4(5(1(x1))))
1.21/1.23	    26: 0(5(1(x1))) -> 0(2(3(1(5(x1)))))
1.21/1.23	    27: 0(5(1(x1))) -> 0(3(1(5(2(x1)))))
1.21/1.23	    28: 0(5(1(x1))) -> 0(3(1(2(5(2(x1))))))
1.21/1.23	    29: 5(0(1(x1))) -> 5(1(2(4(0(x1)))))
1.21/1.23	    30: 5(0(1(x1))) -> 5(0(2(1(2(4(x1))))))
1.21/1.23	    31: 5(0(1(x1))) -> 5(1(2(3(0(4(x1))))))
1.21/1.23	    32: 0(0(1(5(x1)))) -> 0(4(1(0(5(x1)))))
1.21/1.23	    33: 0(0(2(1(x1)))) -> 2(0(3(0(2(1(x1))))))
1.21/1.23	    34: 0(0(2(1(x1)))) -> 2(3(0(2(0(1(x1))))))
1.21/1.23	    35: 0(1(0(1(x1)))) -> 1(0(2(0(1(x1)))))
1.21/1.23	    36: 0(1(1(1(x1)))) -> 1(1(3(1(0(x1)))))
1.21/1.23	    37: 5(0(1(1(x1)))) -> 1(5(1(2(0(x1)))))
1.21/1.23	    38: 5(3(0(1(x1)))) -> 5(1(2(3(0(x1)))))
1.21/1.23	    39: 5(3(1(5(x1)))) -> 5(3(1(2(5(x1)))))
1.21/1.23	    40: 5(3(2(1(x1)))) -> 1(2(3(5(2(x1)))))
1.21/1.23	    41: 5(4(0(1(x1)))) -> 1(2(5(0(4(x1)))))
1.21/1.23	    42: 0(0(5(1(5(x1))))) -> 1(2(5(5(0(0(x1))))))
1.21/1.23	    43: 0(5(3(0(1(x1))))) -> 1(0(5(3(0(4(x1))))))
1.21/1.23	    44: 0(5(3(4(1(x1))))) -> 1(0(3(5(4(5(x1))))))
1.21/1.23	    45: 0(5(4(0(1(x1))))) -> 0(1(3(0(4(5(x1))))))
1.21/1.23	    46: 5(4(2(1(1(x1))))) -> 5(4(1(2(1(2(x1))))))
1.21/1.23	Number of strict rules: 46
1.21/1.23	Direct POLO(bPol) ... removes: 18 4 1 3 21 36 19 32 17 22 44 5 10 20 14 31 45 23 11 13 38 37 41 42 35 29 43 2
1.21/1.23	      1 	w: 2 * x1 + 2
1.21/1.23	      4 	w: x1
1.21/1.23	      5 	w: x1
1.21/1.23	      3 	w: x1
1.21/1.23	      0 	w: 2 * x1 + 1
1.21/1.23	      2 	w: x1
1.21/1.23	Number of strict rules: 18
1.21/1.23	Direct POLO(bPol) ... removes: 26 27 28 24 40
1.21/1.23	      1 	w: 2 * x1 + 3
1.21/1.23	      4 	w: x1
1.21/1.23	      5 	w: 2 * x1
1.21/1.23	      3 	w: x1
1.21/1.23	      0 	w: 2 * x1 + 1
1.21/1.23	      2 	w: x1
1.21/1.23	Number of strict rules: 13
1.21/1.23	Direct POLO(bPol) ... failed.
1.21/1.23	Uncurrying ... failed.
1.21/1.23	Dependency Pairs:
1.21/1.23	   #1: #5(4(2(1(1(x1))))) -> #5(4(1(2(1(2(x1))))))
1.21/1.23	   #2: #0(0(1(x1))) -> #0(2(0(1(2(x1)))))
1.21/1.23	   #3: #0(0(1(x1))) -> #0(1(2(x1)))
1.21/1.23	   #4: #0(0(1(x1))) -> #0(4(0(4(1(x1)))))
1.21/1.23	   #5: #0(0(1(x1))) -> #0(4(1(x1)))
1.21/1.23	   #6: #0(0(1(x1))) -> #0(0(2(2(1(2(x1))))))
1.21/1.23	   #7: #0(0(1(x1))) -> #0(2(2(1(2(x1)))))
1.21/1.23	   #8: #5(0(1(x1))) -> #5(0(2(1(2(4(x1))))))
1.21/1.23	   #9: #5(0(1(x1))) -> #0(2(1(2(4(x1)))))
1.21/1.23	   #10: #0(5(1(x1))) -> #0(4(5(1(x1))))
1.21/1.23	   #11: #0(0(1(x1))) -> #0(3(0(1(2(x1)))))
1.21/1.23	   #12: #0(0(1(x1))) -> #0(1(2(x1)))
1.21/1.23	   #13: #5(3(1(5(x1)))) -> #5(3(1(2(5(x1)))))
1.21/1.23	   #14: #0(0(2(1(x1)))) -> #0(3(0(2(1(x1)))))
1.21/1.23	   #15: #0(0(2(1(x1)))) -> #0(2(0(1(x1))))
1.21/1.23	   #16: #0(0(2(1(x1)))) -> #0(1(x1))
1.21/1.23	   #17: #0(1(1(x1))) -> #0(3(1(1(x1))))
1.21/1.23	   #18: #0(0(1(x1))) -> #0(3(0(3(1(x1)))))
1.21/1.23	   #19: #0(0(1(x1))) -> #0(3(1(x1)))
1.21/1.23	   #20: #0(1(1(x1))) -> #0(2(1(1(x1))))
1.21/1.23	Number of SCCs: 0, DPs: 0
1.21/1.23	EOF