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SRS_Standard 2019-03-22 06.20 pair #430094270
details
property
value
status
complete
benchmark
z031.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n159.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2_cert
runtime (wallclock)
6.92996 seconds
cpu usage
27.0395
user time
24.7243
system time
2.31519
max virtual memory
4374108.0
max residence set size
78736.0
stage attributes
key
value
certification-result
CERTIFIED
output-size
36668
starexec-result
YES
certification-time
1.5
output
YES <?xml version="1.0"?> <?xml-stylesheet type="text/xsl" href="cpfHTML.xsl"?><certificationProblem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="cpf.xsd"><input><trsInput><trs><rules><rule><lhs><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><stringReversal><trs><rules><rule><lhs><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><trsTerminationProof><bounds><type><match/></type><bound>5</bound><finalStates><state>4</state></finalStates><treeAutomaton><finalStates><state>4</state></finalStates><transitions><transition><lhs><state>426</state></lhs><rhs><state>339</state></rhs></transition><transition><lhs><state>396</state></lhs><rhs><state>250</state></rhs></transition><transition><lhs><state>386</state></lhs><rhs><state>248</state></rhs></transition><transition><lhs><state>382</state></lhs><rhs><state>387</state></rhs></transition><transition><lhs><state>356</state></lhs><rhs><state>295</state></rhs></transition><transition><lhs><state>346</state></lhs><rhs><state>229</state></rhs></transition><transition><lhs><state>324</state></lhs><rhs><state>183</state></rhs></transition><transition><lhs><state>302</state></lhs><rhs><state>105</state></rhs></transition><transition><lhs><state>302</state></lhs><rhs><state>139</state></rhs></transition><transition><lhs><state>298</state></lhs><rhs><state>377</state></rhs></transition><transition><lhs><state>292</state></lhs><rhs><state>270</state></rhs></transition><transition><lhs><state>278</state></lhs><rhs><state>184</state></rhs></transition><transition><lhs><state>276</state></lhs><rhs><state>337</state></rhs></transition><transition><lhs><state>272</state></lhs><rhs><state>417</state></rhs></transition><transition><lhs><state>268</state></lhs><rhs><state>248</state></rhs></transition><transition><lhs><state>256</state></lhs><rhs><state>205</state></rhs></transition><transition><lhs><state>236</state></lhs><rhs><state>182</state></rhs></transition><transition><lhs><state>232</state></lhs><rhs><state>269</state></rhs></transition><transition><lhs><state>226</state></lhs><rhs><state>28</state></rhs></transition><transition><lhs><state>224</state></lhs><rhs><state>293</state></rhs></transition><transition><lhs><state>222</state></lhs><rhs><state>315</state></rhs></transition><transition><lhs><state>220</state></lhs><rhs><state>347</state></rhs></transition><transition><lhs><state>214</state></lhs><rhs><state>204</state></rhs></transition><transition><lhs><state>212</state></lhs><rhs><state>153</state></rhs></transition><transition><lhs><state>190</state></lhs><rhs><state>27</state></rhs></transition><transition><lhs><state>186</state></lhs><rhs><state>227</state></rhs></transition><transition><lhs><state>170</state></lhs><rhs><state>84</state></rhs></transition><transition><lhs><state>168</state></lhs><rhs><state>203</state></rhs></transition><transition><lhs><state>164</state></lhs><rhs><state>267</state></rhs></transition><transition><lhs><state>160</state></lhs><rhs><state>114</state></rhs></transition><transition><lhs><state>156</state></lhs><rhs><state>217</state></rhs></transition><transition><lhs><state>146</state></lhs><rhs><state>83</state></rhs></transition><transition><lhs><state>146</state></lhs><rhs><state>84</state></rhs></transition><transition><lhs><state>146</state></lhs><rhs><state>182</state></rhs></transition><transition><lhs><state>144</state></lhs><rhs><state>213</state></rhs></transition><transition><lhs><state>142</state></lhs><rhs><state>291</state></rhs></transition><transition><lhs><state>140</state></lhs><rhs><state>247</state></rhs></transition><transition><lhs><state>116</state></lhs><rhs><state>26</state></rhs></transition><transition><lhs><state>114</state></lhs><rhs><state>26</state></rhs></transition><transition><lhs><state>112</state></lhs><rhs><state>82</state></rhs></transition><transition><lhs><state>108</state></lhs><rhs><state>161</state></rhs></transition><transition><lhs><state>90</state></lhs><rhs><state>41</state></rhs></transition><transition><lhs><state>86</state></lhs><rhs><state>151</state></rhs></transition><transition><lhs><state>78</state></lhs><rhs><state>26</state></rhs></transition><transition><lhs><state>76</state></lhs><rhs><state>16</state></rhs></transition><transition><lhs><state>74</state></lhs><rhs><state>16</state></rhs></transition><transition><lhs><state>60</state></lhs><rhs><state>16</state></rhs></transition><transition><lhs><state>48</state></lhs><rhs><state>17</state></rhs></transition><transition><lhs><state>48</state></lhs><rhs><state>15</state></rhs></transition><transition><lhs><state>48</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><state>48</state></lhs><rhs><state>16</state></rhs></transition><transition><lhs><state>46</state></lhs><rhs><state>75</state></rhs></transition><transition><lhs><state>44</state></lhs><rhs><state>73</state></rhs></transition><transition><lhs><state>44</state></lhs><rhs><state>77</state></rhs></transition><transition><lhs><state>42</state></lhs><rhs><state>113</state></rhs></transition><transition><lhs><state>34</state></lhs><rhs><state>17</state></rhs></transition><transition><lhs><state>34</state></lhs><rhs><state>18</state></rhs></transition><transition><lhs><state>34</state></lhs><rhs><state>82</state></rhs></transition><transition><lhs><state>34</state></lhs><rhs><state>27</state></rhs></transition><transition><lhs><state>32</state></lhs><rhs><state>115</state></rhs></transition><transition><lhs><state>30</state></lhs><rhs><state>103</state></rhs></transition><transition><lhs><state>30</state></lhs><rhs><state>137</state></rhs></transition><transition><lhs><state>28</state></lhs><rhs><state>181</state></rhs></transition><transition><lhs><state>24</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><state>24</state></lhs><rhs><state>17</state></rhs></transition><transition><lhs><state>24</state></lhs><rhs><state>16</state></rhs></transition><transition><lhs><state>22</state></lhs><rhs><state>39</state></rhs></transition><transition><lhs><state>20</state></lhs><rhs><state>25</state></rhs></transition><transition><lhs><state>20</state></lhs><rhs><state>59</state></rhs></transition><transition><lhs><state>18</state></lhs><rhs><state>81</state></rhs></transition><transition><lhs><state>4</state></lhs><rhs><state>15</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>297</state></lhs><rhs><state>298</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>145</state></lhs><rhs><state>146</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>165</state></lhs><rhs><state>166</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>185</state></lhs><rhs><state>186</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>225</state></lhs><rhs><state>226</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>235</state></lhs><rhs><state>236</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>143</state></lhs><rhs><state>144</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>223</state></lhs><rhs><state>224</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>233</state></lhs><rhs><state>234</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>141</state></lhs><rhs><state>142</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>211</state></lhs><rhs><state>212</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>221</state></lhs><rhs><state>222</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>231</state></lhs><rhs><state>232</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>301</state></lhs><rhs><state>302</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>169</state></lhs><rhs><state>170</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>189</state></lhs><rhs><state>190</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>209</state></lhs><rhs><state>210</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>299</state></lhs><rhs><state>300</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>167</state></lhs><rhs><state>168</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>187</state></lhs><rhs><state>188</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>207</state></lhs><rhs><state>208</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>105</state></lhs><rhs><state>106</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>115</state></lhs><rhs><state>116</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>83</state></lhs><rhs><state>84</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>103</state></lhs><rhs><state>104</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>113</state></lhs><rhs><state>114</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>153</state></lhs><rhs><state>154</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>26</state></lhs><rhs><state>27</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>81</state></lhs><rhs><state>82</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>151</state></lhs><rhs><state>152</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>104</state></lhs><rhs><state>105</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>27</state></lhs><rhs><state>28</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>77</state></lhs><rhs><state>78</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>82</state></lhs><rhs><state>83</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>152</state></lhs><rhs><state>153</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>25</state></lhs><rhs><state>26</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>110</state></lhs><rhs><state>111</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>28</state></lhs><rhs><state>29</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>88</state></lhs><rhs><state>89</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>108</state></lhs><rhs><state>109</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>158</state></lhs><rhs><state>159</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>86</state></lhs><rhs><state>87</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>106</state></lhs><rhs><state>107</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>156</state></lhs><rhs><state>157</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>84</state></lhs><rhs><state>85</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>154</state></lhs><rhs><state>155</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>32</state></lhs><rhs><state>33</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>30</state></lhs><rhs><state>31</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>85</state></lhs><rhs><state>86</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>155</state></lhs><rhs><state>156</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>33</state></lhs><rhs><state>34</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>31</state></lhs><rhs><state>32</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>111</state></lhs><rhs><state>112</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>29</state></lhs><rhs><state>30</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>89</state></lhs><rhs><state>90</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>109</state></lhs><rhs><state>110</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>159</state></lhs><rhs><state>160</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>87</state></lhs><rhs><state>88</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>107</state></lhs><rhs><state>108</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>157</state></lhs><rhs><state>158</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>73</state></lhs><rhs><state>74</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>16</state></lhs><rhs><state>17</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>41</state></lhs><rhs><state>42</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>39</state></lhs><rhs><state>40</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>59</state></lhs><rhs><state>60</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>17</state></lhs><rhs><state>18</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>15</state></lhs><rhs><state>16</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>40</state></lhs><rhs><state>41</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>75</state></lhs><rhs><state>76</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>18</state></lhs><rhs><state>19</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>46</state></lhs><rhs><state>47</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>44</state></lhs><rhs><state>45</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>22</state></lhs><rhs><state>23</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>42</state></lhs><rhs><state>43</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>20</state></lhs><rhs><state>21</state></rhs></transition><transition><lhs><name>a</name><height>5</height><state>387</state></lhs><rhs><state>388</state></rhs></transition><transition><lhs><name>a</name><height>5</height><state>417</state></lhs><rhs><state>418</state></rhs></transition><transition><lhs><name>a</name><height>5</height><state>388</state></lhs><rhs><state>389</state></rhs></transition><transition><lhs><name>a</name><height>5</height><state>418</state></lhs><rhs><state>419</state></rhs></transition><transition><lhs><name>a</name><height>5</height><state>389</state></lhs><rhs><state>390</state></rhs></transition><transition><lhs><name>a</name><height>5</height><state>419</state></lhs><rhs><state>420</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>23</state></lhs><rhs><state>24</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>43</state></lhs><rhs><state>44</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>21</state></lhs><rhs><state>22</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>19</state></lhs><rhs><state>20</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>47</state></lhs><rhs><state>48</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>45</state></lhs><rhs><state>46</state></rhs></transition><transition><lhs><name>b</name><height>5</height><state>392</state></lhs><rhs><state>393</state></rhs></transition><transition><lhs><name>b</name><height>5</height><state>422</state></lhs><rhs><state>423</state></rhs></transition><transition><lhs><name>b</name><height>5</height><state>390</state></lhs><rhs><state>391</state></rhs></transition><transition><lhs><name>b</name><height>5</height><state>420</state></lhs><rhs><state>421</state></rhs></transition><transition><lhs><name>b</name><height>5</height><state>394</state></lhs><rhs><state>395</state></rhs></transition><transition><lhs><name>b</name><height>5</height><state>424</state></lhs><rhs><state>425</state></rhs></transition><transition><lhs><name>b</name><height>0</height><state>4</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>c</name><height>5</height><state>395</state></lhs><rhs><state>396</state></rhs></transition><transition><lhs><name>c</name><height>5</height><state>425</state></lhs><rhs><state>426</state></rhs></transition><transition><lhs><name>c</name><height>5</height><state>393</state></lhs><rhs><state>394</state></rhs></transition><transition><lhs><name>c</name><height>5</height><state>423</state></lhs><rhs><state>424</state></rhs></transition><transition><lhs><name>c</name><height>5</height><state>391</state></lhs><rhs><state>392</state></rhs></transition><transition><lhs><name>c</name><height>5</height><state>421</state></lhs><rhs><state>422</state></rhs></transition><transition><lhs><name>c</name><height>0</height><state>4</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>317</state></lhs><rhs><state>318</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>337</state></lhs><rhs><state>338</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>347</state></lhs><rhs><state>348</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>377</state></lhs><rhs><state>378</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>270</state></lhs><rhs><state>271</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>315</state></lhs><rhs><state>316</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>248</state></lhs><rhs><state>249</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>338</state></lhs><rhs><state>339</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>348</state></lhs><rhs><state>349</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>378</state></lhs><rhs><state>379</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>271</state></lhs><rhs><state>272</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>291</state></lhs><rhs><state>292</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>316</state></lhs><rhs><state>317</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>249</state></lhs><rhs><state>250</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>269</state></lhs><rhs><state>270</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>339</state></lhs><rhs><state>340</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>349</state></lhs><rhs><state>350</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>379</state></lhs><rhs><state>380</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>247</state></lhs><rhs><state>248</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>267</state></lhs><rhs><state>268</state></rhs></transition><transition><lhs><name>a</name><height>0</height><state>4</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>322</state></lhs><rhs><state>323</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>342</state></lhs><rhs><state>343</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>352</state></lhs><rhs><state>353</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>382</state></lhs><rhs><state>383</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>250</state></lhs><rhs><state>251</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>320</state></lhs><rhs><state>321</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>340</state></lhs><rhs><state>341</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>350</state></lhs><rhs><state>351</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>380</state></lhs><rhs><state>381</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>318</state></lhs><rhs><state>319</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>276</state></lhs><rhs><state>277</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>254</state></lhs><rhs><state>255</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>274</state></lhs><rhs><state>275</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>344</state></lhs><rhs><state>345</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>354</state></lhs><rhs><state>355</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>384</state></lhs><rhs><state>385</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>252</state></lhs><rhs><state>253</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>272</state></lhs><rhs><state>273</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>255</state></lhs><rhs><state>256</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>275</state></lhs><rhs><state>276</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>345</state></lhs><rhs><state>346</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>355</state></lhs><rhs><state>356</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>385</state></lhs><rhs><state>386</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>253</state></lhs><rhs><state>254</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>273</state></lhs><rhs><state>274</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>323</state></lhs><rhs><state>324</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>343</state></lhs><rhs><state>344</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>353</state></lhs><rhs><state>354</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>383</state></lhs><rhs><state>384</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>251</state></lhs><rhs><state>252</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>321</state></lhs><rhs><state>322</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>341</state></lhs><rhs><state>342</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>351</state></lhs><rhs><state>352</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>381</state></lhs><rhs><state>382</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>319</state></lhs><rhs><state>320</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>277</state></lhs><rhs><state>278</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>205</state></lhs><rhs><state>206</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>295</state></lhs><rhs><state>296</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>138</state></lhs><rhs><state>139</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>163</state></lhs><rhs><state>164</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>183</state></lhs><rhs><state>184</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>203</state></lhs><rhs><state>204</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>213</state></lhs><rhs><state>214</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>218</state></lhs><rhs><state>219</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>228</state></lhs><rhs><state>229</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>293</state></lhs><rhs><state>294</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>161</state></lhs><rhs><state>162</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>181</state></lhs><rhs><state>182</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>139</state></lhs><rhs><state>140</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>204</state></lhs><rhs><state>205</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>219</state></lhs><rhs><state>220</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>229</state></lhs><rhs><state>230</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>294</state></lhs><rhs><state>295</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>137</state></lhs><rhs><state>138</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>162</state></lhs><rhs><state>163</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>182</state></lhs><rhs><state>183</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>217</state></lhs><rhs><state>218</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>227</state></lhs><rhs><state>228</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>140</state></lhs><rhs><state>141</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>210</state></lhs><rhs><state>211</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>220</state></lhs><rhs><state>221</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>230</state></lhs><rhs><state>231</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>300</state></lhs><rhs><state>301</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>168</state></lhs><rhs><state>169</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>188</state></lhs><rhs><state>189</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>208</state></lhs><rhs><state>209</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>298</state></lhs><rhs><state>299</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>166</state></lhs><rhs><state>167</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>186</state></lhs><rhs><state>187</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>206</state></lhs><rhs><state>207</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>296</state></lhs><rhs><state>297</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>144</state></lhs><rhs><state>145</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>164</state></lhs><rhs><state>165</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>184</state></lhs><rhs><state>185</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>224</state></lhs><rhs><state>225</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>234</state></lhs><rhs><state>235</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>142</state></lhs><rhs><state>143</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>222</state></lhs><rhs><state>223</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>232</state></lhs><rhs><state>233</state></rhs></transition></transitions></treeAutomaton><criterion><compatibility/></criterion></bounds></trsTerminationProof></stringReversal></trsTerminationProof></proof><origin><proofOrigin><tool><name>ttt2</name><version>ttt2 1.18 [hg: 65024290f751]</version><strategy>((if standard then var else fail) | con | (if srs then ((sleep -t 25?;rlab;(((( (if srs then arctic -dim 1 -ib 4 -ob 5 else fail) || (if srs then arctic -dim 2 -ib 2 -ob 3 else fail) || (if srs then arctic -dim 3 -ib 1 -ob 2 else fail) || (if srs then arctic -dim 3 -ib 2 -ob 2 else fail) || matrix -dim 1 -ib 5 -ob 8 || matrix -dim 2 -ib 3 -ob 4 || matrix -dim 3 -ib 2 -ob 3 || matrix -dim 3 -ib 1 -ob 2 || matrix -dim 4 -ib 1 -ob 2 || matrix -dim 5 -ib 1 -ob 1 || kbo -ib 3 -ob 4 || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( matrix -dp -ur -dim 1 -ib 3 -ob 5 || matrix -dp -ur -dim 1 -ib 3 -ob 8 -rat 2 -db 1 || matrix -dp -ur -dim 1 -ib 4 -ob 10 -rat 4 -db 1 || matrix -dp -ur -dim 2 -ib 2 -ob 3 || matrix -dp -ur -dim 2 -ib 3 -ob 4 -rat 2 -db 0 || matrix -dp -ur -dim 3 -ib 1 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 -rat 2 -db 0 || matrix -dp -ur -dim 4 -ib 1 -ob 2 || lpo -ur -af || (arctic -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || (arctic -bz -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -bz -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -bz -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -bz -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || fail) } restore) )*[29])) || (bounds -cert || fail;(bounds -rfc -qc))))! || (( unfold || fail)*[7])!)[299])! || ((((( (if srs then arctic -dim 1 -ib 4 -ob 5 else fail) || (if srs then arctic -dim 2 -ib 2 -ob 3 else fail) || (if srs then arctic -dim 3 -ib 1 -ob 2 else fail) || (if srs then arctic -dim 3 -ib 2 -ob 2 else fail) || matrix -dim 1 -ib 5 -ob 8 || matrix -dim 2 -ib 3 -ob 4 || matrix -dim 3 -ib 2 -ob 3 || matrix -dim 3 -ib 1 -ob 2 || matrix -dim 4 -ib 1 -ob 2 || matrix -dim 5 -ib 1 -ob 1 || kbo -ib 3 -ob 4 || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( matrix -dp -ur -dim 1 -ib 3 -ob 5 || matrix -dp -ur -dim 1 -ib 3 -ob 8 -rat 2 -db 1 || matrix -dp -ur -dim 1 -ib 4 -ob 10 -rat 4 -db 1 || matrix -dp -ur -dim 2 -ib 2 -ob 3 || matrix -dp -ur -dim 2 -ib 3 -ob 4 -rat 2 -db 0 || matrix -dp -ur -dim 3 -ib 1 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 -rat 2 -db 0 || matrix -dp -ur -dim 4 -ib 1 -ob 2 || lpo -ur -af || (arctic -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || (arctic -bz -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -bz -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -bz -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -bz -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || fail) } restore) )*[29])) || (bounds -cert || fail;(bounds -rfc -qc))))! || (( unfold || fail)*[7])!)[299])! || (rev?;((( (if srs then arctic -dim 1 -ib 4 -ob 5 else fail) || (if srs then arctic -dim 2 -ib 2 -ob 3 else fail) || (if srs then arctic -dim 3 -ib 1 -ob 2 else fail) || (if srs then arctic -dim 3 -ib 2 -ob 2 else fail) || matrix -dim 1 -ib 5 -ob 8 || matrix -dim 2 -ib 3 -ob 4 || matrix -dim 3 -ib 2 -ob 3 || matrix -dim 3 -ib 1 -ob 2 || matrix -dim 4 -ib 1 -ob 2 || matrix -dim 5 -ib 1 -ob 1 || kbo -ib 3 -ob 4 || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( matrix -dp -ur -dim 1 -ib 3 -ob 5 || matrix -dp -ur -dim 1 -ib 3 -ob 8 -rat 2 -db 1 || matrix -dp -ur -dim 1 -ib 4 -ob 10 -rat 4 -db 1 || matrix -dp -ur -dim 2 -ib 2 -ob 3 || matrix -dp -ur -dim 2 -ib 3 -ob 4 -rat 2 -db 0 || matrix -dp -ur -dim 3 -ib 1 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 -rat 2 -db 0 || matrix -dp -ur -dim 4 -ib 1 -ob 2 || lpo -ur -af || (arctic -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || (arctic -bz -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -bz -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -bz -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -bz -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || fail) } restore) )*[29])) || (bounds -cert || fail;(bounds -rfc -qc))))![299])! ) else ((((( (if srs then arctic -dim 1 -ib 4 -ob 5 else fail) || (if srs then arctic -dim 2 -ib 2 -ob 3 else fail) || (if srs then arctic -dim 3 -ib 1 -ob 2 else fail) || (if srs then arctic -dim 3 -ib 2 -ob 2 else fail) || matrix -dim 1 -ib 5 -ob 8 || matrix -dim 2 -ib 3 -ob 4 || matrix -dim 3 -ib 2 -ob 3 || matrix -dim 3 -ib 1 -ob 2 || matrix -dim 4 -ib 1 -ob 2 || matrix -dim 5 -ib 1 -ob 1 || kbo -ib 3 -ob 4 || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( matrix -dp -ur -dim 1 -ib 3 -ob 5 || matrix -dp -ur -dim 1 -ib 3 -ob 8 -rat 2 -db 1 || matrix -dp -ur -dim 1 -ib 4 -ob 10 -rat 4 -db 1 || matrix -dp -ur -dim 2 -ib 2 -ob 3 || matrix -dp -ur -dim 2 -ib 3 -ob 4 -rat 2 -db 0 || matrix -dp -ur -dim 3 -ib 1 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 -rat 2 -db 0 || matrix -dp -ur -dim 4 -ib 1 -ob 2 || lpo -ur -af || (arctic -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || (arctic -bz -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -bz -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -bz -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -bz -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || fail) } restore) )*[29])) || (bounds -cert || fail;(bounds -rfc -qc))))! || (( unfold || fail)*[7])!)[299])))</strategy></tool></proofOrigin></origin></certificationProblem>
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