YES(?,O(n^1))
1101.27/297.03	YES(?,O(n^1))
1101.27/297.03	
1101.27/297.03	We are left with following problem, upon which TcT provides the
1101.27/297.03	certificate YES(?,O(n^1)).
1101.27/297.03	
1101.27/297.03	Strict Trs:
1101.27/297.03	  { 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1))))))))))
1101.27/297.03	  , 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1)))))))))))))
1101.27/297.03	  , 0(1(2(1(x1)))) ->
1101.27/297.03	    1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))
1101.27/297.03	  , 0(1(2(1(x1)))) ->
1101.27/297.03	    1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))) }
1101.27/297.03	Obligation:
1101.27/297.03	  derivational complexity
1101.27/297.03	Answer:
1101.27/297.03	  YES(?,O(n^1))
1101.27/297.03	
1101.27/297.03	The problem is match-bounded by 3. The enriched problem is
1101.27/297.03	compatible with the following automaton.
1101.27/297.03	{ 0_0(1) -> 1
1101.27/297.03	, 0_0(2) -> 1
1101.27/297.03	, 0_0(3) -> 1
1101.27/297.03	, 0_1(8) -> 7
1101.27/297.03	, 0_1(11) -> 10
1101.27/297.03	, 0_2(36) -> 35
1101.27/297.03	, 0_2(39) -> 38
1101.27/297.03	, 0_2(42) -> 41
1101.27/297.03	, 0_2(48) -> 47
1101.27/297.03	, 0_3(60) -> 59
1101.27/297.03	, 0_3(63) -> 62
1101.27/297.03	, 0_3(66) -> 65
1101.27/297.03	, 0_3(69) -> 68
1101.27/297.03	, 0_3(72) -> 71
1101.27/297.03	, 0_3(78) -> 77
1101.27/297.03	, 0_3(81) -> 80
1101.27/297.03	, 0_3(87) -> 86
1101.27/297.03	, 0_3(90) -> 89
1101.27/297.03	, 0_3(93) -> 92
1101.27/297.03	, 0_3(106) -> 105
1101.27/297.03	, 0_3(109) -> 108
1101.27/297.03	, 0_3(112) -> 111
1101.27/297.03	, 0_3(115) -> 114
1101.27/297.03	, 1_0(1) -> 2
1101.27/297.03	, 1_0(2) -> 2
1101.27/297.03	, 1_0(3) -> 2
1101.27/297.03	, 1_1(4) -> 1
1101.27/297.03	, 1_1(4) -> 10
1101.27/297.03	, 1_1(6) -> 5
1101.27/297.03	, 1_1(7) -> 6
1101.27/297.03	, 1_1(9) -> 8
1101.27/297.03	, 1_1(12) -> 11
1101.27/297.03	, 1_2(32) -> 7
1101.27/297.03	, 1_2(32) -> 10
1101.27/297.03	, 1_2(34) -> 33
1101.27/297.03	, 1_2(35) -> 34
1101.27/297.03	, 1_2(37) -> 36
1101.27/297.03	, 1_2(38) -> 46
1101.27/297.03	, 1_2(40) -> 39
1101.27/297.03	, 1_2(43) -> 42
1101.27/297.03	, 1_2(44) -> 7
1101.27/297.03	, 1_2(44) -> 10
1101.27/297.03	, 1_2(46) -> 45
1101.27/297.03	, 1_2(47) -> 46
1101.27/297.03	, 1_2(49) -> 48
1101.27/297.03	, 1_3(56) -> 41
1101.27/297.03	, 1_3(58) -> 57
1101.27/297.03	, 1_3(59) -> 58
1101.27/297.03	, 1_3(61) -> 60
1101.27/297.03	, 1_3(62) -> 58
1101.27/297.03	, 1_3(64) -> 63
1101.27/297.03	, 1_3(65) -> 58
1101.27/297.03	, 1_3(67) -> 66
1101.27/297.03	, 1_3(68) -> 58
1101.27/297.03	, 1_3(70) -> 69
1101.27/297.03	, 1_3(73) -> 72
1101.27/297.03	, 1_3(74) -> 38
1101.27/297.03	, 1_3(76) -> 75
1101.27/297.03	, 1_3(77) -> 76
1101.27/297.03	, 1_3(79) -> 78
1101.27/297.03	, 1_3(82) -> 81
1101.27/297.03	, 1_3(83) -> 35
1101.27/297.03	, 1_3(85) -> 84
1101.27/297.03	, 1_3(86) -> 85
1101.27/297.03	, 1_3(88) -> 87
1101.27/297.03	, 1_3(89) -> 85
1101.27/297.03	, 1_3(91) -> 90
1101.27/297.03	, 1_3(94) -> 93
1101.27/297.03	, 1_3(102) -> 47
1101.27/297.03	, 1_3(104) -> 103
1101.27/297.03	, 1_3(105) -> 104
1101.27/297.03	, 1_3(107) -> 106
1101.27/297.03	, 1_3(108) -> 104
1101.27/297.03	, 1_3(110) -> 109
1101.27/297.03	, 1_3(111) -> 104
1101.27/297.03	, 1_3(113) -> 112
1101.27/297.03	, 1_3(116) -> 115
1101.27/297.03	, 2_0(1) -> 3
1101.27/297.03	, 2_0(2) -> 3
1101.27/297.03	, 2_0(3) -> 3
1101.27/297.03	, 2_1(1) -> 12
1101.27/297.03	, 2_1(2) -> 12
1101.27/297.03	, 2_1(3) -> 12
1101.27/297.03	, 2_1(4) -> 9
1101.27/297.03	, 2_1(5) -> 4
1101.27/297.03	, 2_1(6) -> 9
1101.27/297.03	, 2_1(7) -> 9
1101.27/297.03	, 2_1(10) -> 9
1101.27/297.03	, 2_2(4) -> 43
1101.27/297.03	, 2_2(7) -> 43
1101.27/297.03	, 2_2(32) -> 43
1101.27/297.03	, 2_2(33) -> 32
1101.27/297.03	, 2_2(35) -> 49
1101.27/297.03	, 2_2(38) -> 37
1101.27/297.03	, 2_2(41) -> 40
1101.27/297.03	, 2_2(44) -> 37
1101.27/297.03	, 2_2(45) -> 44
1101.27/297.03	, 2_2(47) -> 49
1101.27/297.03	, 2_3(32) -> 70
1101.27/297.03	, 2_3(44) -> 73
1101.27/297.03	, 2_3(56) -> 82
1101.27/297.03	, 2_3(57) -> 56
1101.27/297.03	, 2_3(59) -> 61
1101.27/297.03	, 2_3(62) -> 61
1101.27/297.03	, 2_3(65) -> 64
1101.27/297.03	, 2_3(68) -> 67
1101.27/297.03	, 2_3(71) -> 70
1101.27/297.03	, 2_3(74) -> 94
1101.27/297.03	, 2_3(75) -> 74
1101.27/297.03	, 2_3(77) -> 79
1101.27/297.03	, 2_3(80) -> 79
1101.27/297.03	, 2_3(83) -> 116
1101.27/297.03	, 2_3(84) -> 83
1101.27/297.03	, 2_3(86) -> 88
1101.27/297.03	, 2_3(89) -> 88
1101.27/297.03	, 2_3(92) -> 91
1101.27/297.03	, 2_3(102) -> 107
1101.27/297.03	, 2_3(103) -> 102
1101.27/297.03	, 2_3(105) -> 107
1101.27/297.03	, 2_3(108) -> 107
1101.27/297.03	, 2_3(111) -> 110
1101.27/297.03	, 2_3(114) -> 113 }
1101.27/297.03	
1101.27/297.03	Hurray, we answered YES(?,O(n^1))
1101.82/297.52	EOF