Tool Bounds
stdout:
YES(?,O(n^1))
We consider the following Problem:
Strict Trs:
{ 0(5(3(5(5(1(0(3(4(3(1(1(5(5(1(4(3(5(5(1(x1))))))))))))))))))))
-> 0(0(5(1(2(1(1(4(4(4(2(3(1(5(5(5(1(4(2(x1)))))))))))))))))))
, 1(0(4(3(0(3(5(5(0(4(3(5(5(2(4(4(4(1(4(x1))))))))))))))))))) ->
1(1(3(5(1(1(0(5(0(0(3(3(1(5(4(4(4(1(x1))))))))))))))))))
, 5(1(2(0(0(2(1(4(1(5(3(0(1(4(4(5(1(x1))))))))))))))))) ->
5(5(2(5(4(5(4(2(5(2(5(1(0(2(3(1(x1))))))))))))))))
, 3(3(1(1(3(2(0(2(4(2(1(2(1(1(4(4(1(x1))))))))))))))))) ->
1(2(2(2(3(3(0(2(4(5(3(4(0(4(1(4(1(x1)))))))))))))))))
, 1(5(2(3(5(2(3(0(5(5(0(1(0(3(1(5(0(x1))))))))))))))))) ->
0(2(2(0(4(1(3(4(0(5(4(2(0(4(1(5(1(0(x1))))))))))))))))))
, 2(1(4(5(4(3(2(5(2(2(2(4(1(2(5(4(x1)))))))))))))))) ->
2(3(0(0(1(1(2(4(1(4(5(5(0(3(x1))))))))))))))
, 5(4(3(5(0(3(0(3(1(0(1(1(1(2(x1)))))))))))))) ->
5(2(3(1(4(1(5(5(1(4(2(0(x1))))))))))))
, 1(2(5(0(2(3(2(4(1(3(4(3(2(4(x1)))))))))))))) ->
2(3(1(2(3(0(2(0(2(2(0(0(2(x1)))))))))))))
, 1(3(3(5(2(5(2(4(5(3(0(2(4(x1))))))))))))) ->
4(5(1(4(3(2(1(5(5(5(5(x1)))))))))))
, 0(3(1(1(2(2(3(5(1(5(5(4(0(x1))))))))))))) ->
0(3(2(5(0(1(5(0(1(1(5(3(0(x1)))))))))))))
, 3(1(4(0(3(1(0(3(0(2(4(4(x1)))))))))))) ->
3(2(3(0(0(0(2(5(5(1(2(4(x1))))))))))))
, 4(1(0(2(5(4(5(2(4(4(5(x1))))))))))) ->
2(0(2(0(1(2(5(1(4(5(x1))))))))))
, 4(0(2(0(3(4(3(0(3(0(4(x1))))))))))) ->
4(4(5(2(0(3(2(4(1(5(4(x1)))))))))))
, 3(4(3(0(4(2(1(1(4(3(x1)))))))))) -> 3(2(5(1(3(1(1(1(1(x1)))))))))
, 3(0(0(4(0(1(1(0(5(3(x1)))))))))) -> 0(1(0(0(4(3(2(4(3(x1)))))))))
, 2(0(2(4(0(0(3(1(2(x1))))))))) -> 2(3(0(1(2(4(1(3(3(x1)))))))))
, 3(5(1(2(0(4(1(1(x1)))))))) -> 3(5(4(0(3(4(1(x1)))))))
, 1(2(0(0(3(5(0(0(x1)))))))) -> 5(1(0(4(0(5(3(2(x1))))))))
, 2(5(1(2(3(2(2(x1))))))) -> 4(1(1(1(1(4(1(x1)))))))
, 0(1(3(3(4(3(3(x1))))))) -> 0(3(2(0(3(x1)))))
, 5(1(5(5(5(4(x1)))))) -> 5(2(4(1(1(4(x1))))))
, 1(1(4(4(3(x1))))) -> 1(2(2(4(4(x1)))))
, 0(4(3(5(5(x1))))) -> 0(3(5(5(x1))))
, 0(2(4(5(0(x1))))) -> 0(5(2(0(x1))))
, 0(1(2(1(x1)))) -> 3(1(1(x1)))}
StartTerms: all
Strategy: none
Certificate: YES(?,O(n^1))
Proof:
The problem is match-bounded by 2.
The enriched problem is compatible with the following automaton:
{ 1_0(1) -> 1
, 1_1(1) -> 36
, 1_1(2) -> 37
, 1_1(5) -> 4
, 1_1(7) -> 6
, 1_1(8) -> 7
, 1_1(14) -> 13
, 1_1(18) -> 17
, 1_1(19) -> 138
, 1_1(20) -> 1
, 1_1(20) -> 36
, 1_1(20) -> 50
, 1_1(20) -> 78
, 1_1(20) -> 129
, 1_1(20) -> 160
, 1_1(20) -> 169
, 1_1(20) -> 180
, 1_1(21) -> 20
, 1_1(24) -> 23
, 1_1(25) -> 24
, 1_1(32) -> 31
, 1_1(35) -> 63
, 1_1(36) -> 160
, 1_1(48) -> 47
, 1_1(63) -> 179
, 1_1(68) -> 67
, 1_1(77) -> 76
, 1_1(79) -> 78
, 1_1(80) -> 20
, 1_1(84) -> 83
, 1_1(85) -> 84
, 1_1(88) -> 87
, 1_1(94) -> 93
, 1_1(96) -> 95
, 1_1(99) -> 98
, 1_1(101) -> 81
, 1_1(110) -> 20
, 1_1(112) -> 111
, 1_1(116) -> 115
, 1_1(124) -> 123
, 1_1(127) -> 126
, 1_1(128) -> 127
, 1_1(130) -> 36
, 1_1(139) -> 138
, 1_1(140) -> 146
, 1_1(144) -> 143
, 1_1(146) -> 180
, 1_1(147) -> 146
, 1_1(155) -> 154
, 1_1(157) -> 156
, 1_1(158) -> 159
, 1_1(159) -> 158
, 1_1(160) -> 159
, 1_1(161) -> 2
, 1_1(166) -> 82
, 1_1(169) -> 168
, 1_1(173) -> 37
, 1_1(178) -> 110
, 1_1(179) -> 178
, 2_0(1) -> 1
, 2_1(1) -> 19
, 2_1(2) -> 19
, 2_1(3) -> 19
, 2_1(6) -> 5
, 2_1(12) -> 11
, 2_1(20) -> 19
, 2_1(35) -> 165
, 2_1(39) -> 38
, 2_1(44) -> 43
, 2_1(46) -> 45
, 2_1(50) -> 49
, 2_1(51) -> 20
, 2_1(52) -> 51
, 2_1(53) -> 52
, 2_1(57) -> 56
, 2_1(64) -> 2
, 2_1(65) -> 64
, 2_1(74) -> 73
, 2_1(77) -> 144
, 2_1(79) -> 100
, 2_1(80) -> 1
, 2_1(80) -> 19
, 2_1(80) -> 35
, 2_1(80) -> 36
, 2_1(80) -> 100
, 2_1(80) -> 138
, 2_1(80) -> 140
, 2_1(86) -> 85
, 2_1(91) -> 120
, 2_1(92) -> 37
, 2_1(102) -> 101
, 2_1(105) -> 104
, 2_1(107) -> 106
, 2_1(108) -> 107
, 2_1(110) -> 2
, 2_1(115) -> 114
, 2_1(121) -> 120
, 2_1(131) -> 130
, 2_1(136) -> 135
, 2_1(140) -> 139
, 2_1(142) -> 141
, 2_1(145) -> 144
, 2_1(150) -> 149
, 2_1(153) -> 152
, 2_1(167) -> 166
, 2_1(173) -> 19
, 0_0(1) -> 1
, 0_1(1) -> 79
, 0_1(2) -> 1
, 0_1(2) -> 36
, 0_1(2) -> 50
, 0_1(2) -> 61
, 0_1(2) -> 79
, 0_1(2) -> 91
, 0_1(2) -> 109
, 0_1(2) -> 129
, 0_1(3) -> 2
, 0_1(19) -> 109
, 0_1(26) -> 25
, 0_1(28) -> 27
, 0_1(29) -> 28
, 0_1(35) -> 61
, 0_1(49) -> 48
, 0_1(50) -> 1
, 0_1(50) -> 79
, 0_1(50) -> 91
, 0_1(51) -> 79
, 0_1(56) -> 55
, 0_1(62) -> 61
, 0_1(66) -> 65
, 0_1(71) -> 70
, 0_1(75) -> 74
, 0_1(80) -> 79
, 0_1(82) -> 81
, 0_1(83) -> 82
, 0_1(104) -> 103
, 0_1(106) -> 105
, 0_1(109) -> 108
, 0_1(123) -> 122
, 0_1(126) -> 125
, 0_1(133) -> 132
, 0_1(134) -> 133
, 0_1(135) -> 134
, 0_1(141) -> 80
, 0_1(143) -> 142
, 0_1(151) -> 150
, 0_1(162) -> 161
, 0_1(163) -> 162
, 0_1(172) -> 171
, 0_1(174) -> 173
, 0_1(176) -> 175
, 0_2(248) -> 61
, 3_0(1) -> 1
, 3_1(1) -> 50
, 3_1(2) -> 169
, 3_1(13) -> 12
, 3_1(19) -> 177
, 3_1(22) -> 21
, 3_1(30) -> 29
, 3_1(31) -> 30
, 3_1(35) -> 172
, 3_1(36) -> 50
, 3_1(37) -> 50
, 3_1(49) -> 177
, 3_1(50) -> 169
, 3_1(51) -> 50
, 3_1(54) -> 53
, 3_1(55) -> 54
, 3_1(60) -> 59
, 3_1(64) -> 50
, 3_1(69) -> 68
, 3_1(79) -> 129
, 3_1(80) -> 50
, 3_1(81) -> 80
, 3_1(93) -> 92
, 3_1(100) -> 2
, 3_1(103) -> 102
, 3_1(110) -> 2
, 3_1(111) -> 50
, 3_1(114) -> 113
, 3_1(118) -> 2
, 3_1(120) -> 2
, 3_1(130) -> 1
, 3_1(130) -> 50
, 3_1(130) -> 172
, 3_1(131) -> 2
, 3_1(132) -> 131
, 3_1(139) -> 164
, 3_1(152) -> 151
, 3_1(158) -> 157
, 3_1(160) -> 1
, 3_1(160) -> 79
, 3_1(165) -> 164
, 3_2(249) -> 248
, 5_0(1) -> 1
, 5_1(1) -> 119
, 5_1(4) -> 3
, 5_1(15) -> 14
, 5_1(16) -> 15
, 5_1(17) -> 16
, 5_1(20) -> 77
, 5_1(23) -> 22
, 5_1(27) -> 26
, 5_1(33) -> 32
, 5_1(36) -> 77
, 5_1(37) -> 1
, 5_1(37) -> 36
, 5_1(37) -> 77
, 5_1(37) -> 119
, 5_1(37) -> 137
, 5_1(37) -> 138
, 5_1(37) -> 155
, 5_1(38) -> 37
, 5_1(40) -> 39
, 5_1(42) -> 41
, 5_1(45) -> 44
, 5_1(47) -> 46
, 5_1(59) -> 58
, 5_1(72) -> 71
, 5_1(78) -> 77
, 5_1(90) -> 89
, 5_1(91) -> 90
, 5_1(97) -> 96
, 5_1(98) -> 97
, 5_1(100) -> 2
, 5_1(110) -> 119
, 5_1(111) -> 110
, 5_1(117) -> 116
, 5_1(118) -> 117
, 5_1(119) -> 118
, 5_1(122) -> 121
, 5_1(125) -> 124
, 5_1(129) -> 128
, 5_1(137) -> 136
, 5_1(138) -> 137
, 5_1(140) -> 155
, 5_1(146) -> 145
, 5_1(148) -> 119
, 5_1(149) -> 148
, 5_1(156) -> 131
, 5_1(170) -> 130
, 5_1(177) -> 176
, 5_2(38) -> 250
, 5_2(250) -> 249
, 4_0(1) -> 1
, 4_1(1) -> 140
, 4_1(9) -> 8
, 4_1(10) -> 9
, 4_1(11) -> 10
, 4_1(19) -> 18
, 4_1(20) -> 35
, 4_1(34) -> 33
, 4_1(35) -> 34
, 4_1(36) -> 35
, 4_1(41) -> 40
, 4_1(43) -> 42
, 4_1(50) -> 35
, 4_1(58) -> 57
, 4_1(61) -> 60
, 4_1(63) -> 62
, 4_1(67) -> 66
, 4_1(70) -> 69
, 4_1(73) -> 72
, 4_1(76) -> 75
, 4_1(87) -> 86
, 4_1(89) -> 88
, 4_1(95) -> 94
, 4_1(100) -> 99
, 4_1(110) -> 1
, 4_1(110) -> 19
, 4_1(110) -> 36
, 4_1(110) -> 140
, 4_1(110) -> 144
, 4_1(110) -> 168
, 4_1(113) -> 112
, 4_1(119) -> 147
, 4_1(130) -> 140
, 4_1(140) -> 52
, 4_1(148) -> 110
, 4_1(154) -> 153
, 4_1(160) -> 140
, 4_1(164) -> 163
, 4_1(168) -> 167
, 4_1(171) -> 170
, 4_1(175) -> 174
, 4_1(178) -> 35
, 4_1(180) -> 92}
Hurray, we answered YES(?,O(n^1))Tool EDA
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 0(5(3(5(5(1(0(3(4(3(1(1(5(5(1(4(3(5(5(1(x1))))))))))))))))))))
-> 0(0(5(1(2(1(1(4(4(4(2(3(1(5(5(5(1(4(2(x1)))))))))))))))))))
, 1(0(4(3(0(3(5(5(0(4(3(5(5(2(4(4(4(1(4(x1))))))))))))))))))) ->
1(1(3(5(1(1(0(5(0(0(3(3(1(5(4(4(4(1(x1))))))))))))))))))
, 5(1(2(0(0(2(1(4(1(5(3(0(1(4(4(5(1(x1))))))))))))))))) ->
5(5(2(5(4(5(4(2(5(2(5(1(0(2(3(1(x1))))))))))))))))
, 3(3(1(1(3(2(0(2(4(2(1(2(1(1(4(4(1(x1))))))))))))))))) ->
1(2(2(2(3(3(0(2(4(5(3(4(0(4(1(4(1(x1)))))))))))))))))
, 1(5(2(3(5(2(3(0(5(5(0(1(0(3(1(5(0(x1))))))))))))))))) ->
0(2(2(0(4(1(3(4(0(5(4(2(0(4(1(5(1(0(x1))))))))))))))))))
, 2(1(4(5(4(3(2(5(2(2(2(4(1(2(5(4(x1)))))))))))))))) ->
2(3(0(0(1(1(2(4(1(4(5(5(0(3(x1))))))))))))))
, 5(4(3(5(0(3(0(3(1(0(1(1(1(2(x1)))))))))))))) ->
5(2(3(1(4(1(5(5(1(4(2(0(x1))))))))))))
, 1(2(5(0(2(3(2(4(1(3(4(3(2(4(x1)))))))))))))) ->
2(3(1(2(3(0(2(0(2(2(0(0(2(x1)))))))))))))
, 1(3(3(5(2(5(2(4(5(3(0(2(4(x1))))))))))))) ->
4(5(1(4(3(2(1(5(5(5(5(x1)))))))))))
, 0(3(1(1(2(2(3(5(1(5(5(4(0(x1))))))))))))) ->
0(3(2(5(0(1(5(0(1(1(5(3(0(x1)))))))))))))
, 3(1(4(0(3(1(0(3(0(2(4(4(x1)))))))))))) ->
3(2(3(0(0(0(2(5(5(1(2(4(x1))))))))))))
, 4(1(0(2(5(4(5(2(4(4(5(x1))))))))))) ->
2(0(2(0(1(2(5(1(4(5(x1))))))))))
, 4(0(2(0(3(4(3(0(3(0(4(x1))))))))))) ->
4(4(5(2(0(3(2(4(1(5(4(x1)))))))))))
, 3(4(3(0(4(2(1(1(4(3(x1)))))))))) -> 3(2(5(1(3(1(1(1(1(x1)))))))))
, 3(0(0(4(0(1(1(0(5(3(x1)))))))))) -> 0(1(0(0(4(3(2(4(3(x1)))))))))
, 2(0(2(4(0(0(3(1(2(x1))))))))) -> 2(3(0(1(2(4(1(3(3(x1)))))))))
, 3(5(1(2(0(4(1(1(x1)))))))) -> 3(5(4(0(3(4(1(x1)))))))
, 1(2(0(0(3(5(0(0(x1)))))))) -> 5(1(0(4(0(5(3(2(x1))))))))
, 2(5(1(2(3(2(2(x1))))))) -> 4(1(1(1(1(4(1(x1)))))))
, 0(1(3(3(4(3(3(x1))))))) -> 0(3(2(0(3(x1)))))
, 5(1(5(5(5(4(x1)))))) -> 5(2(4(1(1(4(x1))))))
, 1(1(4(4(3(x1))))) -> 1(2(2(4(4(x1)))))
, 0(4(3(5(5(x1))))) -> 0(3(5(5(x1))))
, 0(2(4(5(0(x1))))) -> 0(5(2(0(x1))))
, 0(1(2(1(x1)))) -> 3(1(1(x1)))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool IDA
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 0(5(3(5(5(1(0(3(4(3(1(1(5(5(1(4(3(5(5(1(x1))))))))))))))))))))
-> 0(0(5(1(2(1(1(4(4(4(2(3(1(5(5(5(1(4(2(x1)))))))))))))))))))
, 1(0(4(3(0(3(5(5(0(4(3(5(5(2(4(4(4(1(4(x1))))))))))))))))))) ->
1(1(3(5(1(1(0(5(0(0(3(3(1(5(4(4(4(1(x1))))))))))))))))))
, 5(1(2(0(0(2(1(4(1(5(3(0(1(4(4(5(1(x1))))))))))))))))) ->
5(5(2(5(4(5(4(2(5(2(5(1(0(2(3(1(x1))))))))))))))))
, 3(3(1(1(3(2(0(2(4(2(1(2(1(1(4(4(1(x1))))))))))))))))) ->
1(2(2(2(3(3(0(2(4(5(3(4(0(4(1(4(1(x1)))))))))))))))))
, 1(5(2(3(5(2(3(0(5(5(0(1(0(3(1(5(0(x1))))))))))))))))) ->
0(2(2(0(4(1(3(4(0(5(4(2(0(4(1(5(1(0(x1))))))))))))))))))
, 2(1(4(5(4(3(2(5(2(2(2(4(1(2(5(4(x1)))))))))))))))) ->
2(3(0(0(1(1(2(4(1(4(5(5(0(3(x1))))))))))))))
, 5(4(3(5(0(3(0(3(1(0(1(1(1(2(x1)))))))))))))) ->
5(2(3(1(4(1(5(5(1(4(2(0(x1))))))))))))
, 1(2(5(0(2(3(2(4(1(3(4(3(2(4(x1)))))))))))))) ->
2(3(1(2(3(0(2(0(2(2(0(0(2(x1)))))))))))))
, 1(3(3(5(2(5(2(4(5(3(0(2(4(x1))))))))))))) ->
4(5(1(4(3(2(1(5(5(5(5(x1)))))))))))
, 0(3(1(1(2(2(3(5(1(5(5(4(0(x1))))))))))))) ->
0(3(2(5(0(1(5(0(1(1(5(3(0(x1)))))))))))))
, 3(1(4(0(3(1(0(3(0(2(4(4(x1)))))))))))) ->
3(2(3(0(0(0(2(5(5(1(2(4(x1))))))))))))
, 4(1(0(2(5(4(5(2(4(4(5(x1))))))))))) ->
2(0(2(0(1(2(5(1(4(5(x1))))))))))
, 4(0(2(0(3(4(3(0(3(0(4(x1))))))))))) ->
4(4(5(2(0(3(2(4(1(5(4(x1)))))))))))
, 3(4(3(0(4(2(1(1(4(3(x1)))))))))) -> 3(2(5(1(3(1(1(1(1(x1)))))))))
, 3(0(0(4(0(1(1(0(5(3(x1)))))))))) -> 0(1(0(0(4(3(2(4(3(x1)))))))))
, 2(0(2(4(0(0(3(1(2(x1))))))))) -> 2(3(0(1(2(4(1(3(3(x1)))))))))
, 3(5(1(2(0(4(1(1(x1)))))))) -> 3(5(4(0(3(4(1(x1)))))))
, 1(2(0(0(3(5(0(0(x1)))))))) -> 5(1(0(4(0(5(3(2(x1))))))))
, 2(5(1(2(3(2(2(x1))))))) -> 4(1(1(1(1(4(1(x1)))))))
, 0(1(3(3(4(3(3(x1))))))) -> 0(3(2(0(3(x1)))))
, 5(1(5(5(5(4(x1)))))) -> 5(2(4(1(1(4(x1))))))
, 1(1(4(4(3(x1))))) -> 1(2(2(4(4(x1)))))
, 0(4(3(5(5(x1))))) -> 0(3(5(5(x1))))
, 0(2(4(5(0(x1))))) -> 0(5(2(0(x1))))
, 0(1(2(1(x1)))) -> 3(1(1(x1)))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool TRI
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 0(5(3(5(5(1(0(3(4(3(1(1(5(5(1(4(3(5(5(1(x1))))))))))))))))))))
-> 0(0(5(1(2(1(1(4(4(4(2(3(1(5(5(5(1(4(2(x1)))))))))))))))))))
, 1(0(4(3(0(3(5(5(0(4(3(5(5(2(4(4(4(1(4(x1))))))))))))))))))) ->
1(1(3(5(1(1(0(5(0(0(3(3(1(5(4(4(4(1(x1))))))))))))))))))
, 5(1(2(0(0(2(1(4(1(5(3(0(1(4(4(5(1(x1))))))))))))))))) ->
5(5(2(5(4(5(4(2(5(2(5(1(0(2(3(1(x1))))))))))))))))
, 3(3(1(1(3(2(0(2(4(2(1(2(1(1(4(4(1(x1))))))))))))))))) ->
1(2(2(2(3(3(0(2(4(5(3(4(0(4(1(4(1(x1)))))))))))))))))
, 1(5(2(3(5(2(3(0(5(5(0(1(0(3(1(5(0(x1))))))))))))))))) ->
0(2(2(0(4(1(3(4(0(5(4(2(0(4(1(5(1(0(x1))))))))))))))))))
, 2(1(4(5(4(3(2(5(2(2(2(4(1(2(5(4(x1)))))))))))))))) ->
2(3(0(0(1(1(2(4(1(4(5(5(0(3(x1))))))))))))))
, 5(4(3(5(0(3(0(3(1(0(1(1(1(2(x1)))))))))))))) ->
5(2(3(1(4(1(5(5(1(4(2(0(x1))))))))))))
, 1(2(5(0(2(3(2(4(1(3(4(3(2(4(x1)))))))))))))) ->
2(3(1(2(3(0(2(0(2(2(0(0(2(x1)))))))))))))
, 1(3(3(5(2(5(2(4(5(3(0(2(4(x1))))))))))))) ->
4(5(1(4(3(2(1(5(5(5(5(x1)))))))))))
, 0(3(1(1(2(2(3(5(1(5(5(4(0(x1))))))))))))) ->
0(3(2(5(0(1(5(0(1(1(5(3(0(x1)))))))))))))
, 3(1(4(0(3(1(0(3(0(2(4(4(x1)))))))))))) ->
3(2(3(0(0(0(2(5(5(1(2(4(x1))))))))))))
, 4(1(0(2(5(4(5(2(4(4(5(x1))))))))))) ->
2(0(2(0(1(2(5(1(4(5(x1))))))))))
, 4(0(2(0(3(4(3(0(3(0(4(x1))))))))))) ->
4(4(5(2(0(3(2(4(1(5(4(x1)))))))))))
, 3(4(3(0(4(2(1(1(4(3(x1)))))))))) -> 3(2(5(1(3(1(1(1(1(x1)))))))))
, 3(0(0(4(0(1(1(0(5(3(x1)))))))))) -> 0(1(0(0(4(3(2(4(3(x1)))))))))
, 2(0(2(4(0(0(3(1(2(x1))))))))) -> 2(3(0(1(2(4(1(3(3(x1)))))))))
, 3(5(1(2(0(4(1(1(x1)))))))) -> 3(5(4(0(3(4(1(x1)))))))
, 1(2(0(0(3(5(0(0(x1)))))))) -> 5(1(0(4(0(5(3(2(x1))))))))
, 2(5(1(2(3(2(2(x1))))))) -> 4(1(1(1(1(4(1(x1)))))))
, 0(1(3(3(4(3(3(x1))))))) -> 0(3(2(0(3(x1)))))
, 5(1(5(5(5(4(x1)))))) -> 5(2(4(1(1(4(x1))))))
, 1(1(4(4(3(x1))))) -> 1(2(2(4(4(x1)))))
, 0(4(3(5(5(x1))))) -> 0(3(5(5(x1))))
, 0(2(4(5(0(x1))))) -> 0(5(2(0(x1))))
, 0(1(2(1(x1)))) -> 3(1(1(x1)))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool TRI2
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 0(5(3(5(5(1(0(3(4(3(1(1(5(5(1(4(3(5(5(1(x1))))))))))))))))))))
-> 0(0(5(1(2(1(1(4(4(4(2(3(1(5(5(5(1(4(2(x1)))))))))))))))))))
, 1(0(4(3(0(3(5(5(0(4(3(5(5(2(4(4(4(1(4(x1))))))))))))))))))) ->
1(1(3(5(1(1(0(5(0(0(3(3(1(5(4(4(4(1(x1))))))))))))))))))
, 5(1(2(0(0(2(1(4(1(5(3(0(1(4(4(5(1(x1))))))))))))))))) ->
5(5(2(5(4(5(4(2(5(2(5(1(0(2(3(1(x1))))))))))))))))
, 3(3(1(1(3(2(0(2(4(2(1(2(1(1(4(4(1(x1))))))))))))))))) ->
1(2(2(2(3(3(0(2(4(5(3(4(0(4(1(4(1(x1)))))))))))))))))
, 1(5(2(3(5(2(3(0(5(5(0(1(0(3(1(5(0(x1))))))))))))))))) ->
0(2(2(0(4(1(3(4(0(5(4(2(0(4(1(5(1(0(x1))))))))))))))))))
, 2(1(4(5(4(3(2(5(2(2(2(4(1(2(5(4(x1)))))))))))))))) ->
2(3(0(0(1(1(2(4(1(4(5(5(0(3(x1))))))))))))))
, 5(4(3(5(0(3(0(3(1(0(1(1(1(2(x1)))))))))))))) ->
5(2(3(1(4(1(5(5(1(4(2(0(x1))))))))))))
, 1(2(5(0(2(3(2(4(1(3(4(3(2(4(x1)))))))))))))) ->
2(3(1(2(3(0(2(0(2(2(0(0(2(x1)))))))))))))
, 1(3(3(5(2(5(2(4(5(3(0(2(4(x1))))))))))))) ->
4(5(1(4(3(2(1(5(5(5(5(x1)))))))))))
, 0(3(1(1(2(2(3(5(1(5(5(4(0(x1))))))))))))) ->
0(3(2(5(0(1(5(0(1(1(5(3(0(x1)))))))))))))
, 3(1(4(0(3(1(0(3(0(2(4(4(x1)))))))))))) ->
3(2(3(0(0(0(2(5(5(1(2(4(x1))))))))))))
, 4(1(0(2(5(4(5(2(4(4(5(x1))))))))))) ->
2(0(2(0(1(2(5(1(4(5(x1))))))))))
, 4(0(2(0(3(4(3(0(3(0(4(x1))))))))))) ->
4(4(5(2(0(3(2(4(1(5(4(x1)))))))))))
, 3(4(3(0(4(2(1(1(4(3(x1)))))))))) -> 3(2(5(1(3(1(1(1(1(x1)))))))))
, 3(0(0(4(0(1(1(0(5(3(x1)))))))))) -> 0(1(0(0(4(3(2(4(3(x1)))))))))
, 2(0(2(4(0(0(3(1(2(x1))))))))) -> 2(3(0(1(2(4(1(3(3(x1)))))))))
, 3(5(1(2(0(4(1(1(x1)))))))) -> 3(5(4(0(3(4(1(x1)))))))
, 1(2(0(0(3(5(0(0(x1)))))))) -> 5(1(0(4(0(5(3(2(x1))))))))
, 2(5(1(2(3(2(2(x1))))))) -> 4(1(1(1(1(4(1(x1)))))))
, 0(1(3(3(4(3(3(x1))))))) -> 0(3(2(0(3(x1)))))
, 5(1(5(5(5(4(x1)))))) -> 5(2(4(1(1(4(x1))))))
, 1(1(4(4(3(x1))))) -> 1(2(2(4(4(x1)))))
, 0(4(3(5(5(x1))))) -> 0(3(5(5(x1))))
, 0(2(4(5(0(x1))))) -> 0(5(2(0(x1))))
, 0(1(2(1(x1)))) -> 3(1(1(x1)))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..