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SRS Standard Certified pair #487131665
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
n148.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2_cert
runtime (wallclock)
8.22507 seconds
cpu usage
24.1415
user time
22.2768
system time
1.86474
max virtual memory
6575928.0
max residence set size
235928.0
stage attributes
key
value
certification-result
CERTIFIED
starexec-result
CERTIFIED YES
certification-time
20.91
bare-result
YES
output
<?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><bounds><type><match/></type><bound>5</bound><finalStates><state>3</state><state>2</state><state>1</state></finalStates><treeAutomaton><finalStates><state>3</state><state>2</state><state>1</state></finalStates><transitions><transition><lhs><state>223</state></lhs><rhs><state>353</state></rhs></transition><transition><lhs><state>102</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><state>338</state></lhs><rhs><state>213</state></rhs></transition><transition><lhs><state>98</state></lhs><rhs><state>50</state></rhs></transition><transition><lhs><state>214</state></lhs><rhs><state>257</state></rhs></transition><transition><lhs><state>286</state></lhs><rhs><state>251</state></rhs></transition><transition><lhs><state>432</state></lhs><rhs><state>387</state></rhs></transition><transition><lhs><state>96</state></lhs><rhs><state>63</state></rhs></transition><transition><lhs><state>352</state></lhs><rhs><state>211</state></rhs></transition><transition><lhs><state>226</state></lhs><rhs><state>55</state></rhs></transition><transition><lhs><state>3</state></lhs><rhs><state>35</state></rhs></transition><transition><lhs><state>57</state></lhs><rhs><state>141</state></rhs></transition><transition><lhs><state>225</state></lhs><rhs><state>299</state></rhs></transition><transition><lhs><state>65</state></lhs><rhs><state>139</state></rhs></transition><transition><lhs><state>55</state></lhs><rhs><state>207</state></rhs></transition><transition><lhs><state>224</state></lhs><rhs><state>343</state></rhs></transition><transition><lhs><state>1</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><state>13</state></lhs><rhs><state>59</state></rhs></transition><transition><lhs><state>392</state></lhs><rhs><state>261</state></rhs></transition><transition><lhs><state>402</state></lhs><rhs><state>279</state></rhs></transition><transition><lhs><state>38</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><state>58</state></lhs><rhs><state>9</state></rhs></transition><transition><lhs><state>58</state></lhs><rhs><state>11</state></rhs></transition><transition><lhs><state>58</state></lhs><rhs><state>89</state></rhs></transition><transition><lhs><state>58</state></lhs><rhs><state>53</state></rhs></transition><transition><lhs><state>36</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><state>170</state></lhs><rhs><state>217</state></rhs></transition><transition><lhs><state>161</state></lhs><rhs><state>247</state></rhs></transition><transition><lhs><state>72</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><state>172</state></lhs><rhs><state>51</state></rhs></transition><transition><lhs><state>337</state></lhs><rhs><state>383</state></rhs></transition><transition><lhs><state>308</state></lhs><rhs><state>121</state></rhs></transition><transition><lhs><state>308</state></lhs><rhs><state>157</state></rhs></transition><transition><lhs><state>124</state></lhs><rhs><state>193</state></rhs></transition><transition><lhs><state>67</state></lhs><rhs><state>101</state></rhs></transition><transition><lhs><state>264</state></lhs><rhs><state>329</state></rhs></transition><transition><lhs><state>2</state></lhs><rhs><state>37</state></rhs></transition><transition><lhs><state>11</state></lhs><rhs><state>87</state></rhs></transition><transition><lhs><state>400</state></lhs><rhs><state>433</state></rhs></transition><transition><lhs><state>66</state></lhs><rhs><state>97</state></rhs></transition><transition><lhs><state>66</state></lhs><rhs><state>103</state></rhs></transition><transition><lhs><state>14</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><state>14</state></lhs><rhs><state>9</state></rhs></transition><transition><lhs><state>14</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><state>306</state></lhs><rhs><state>393</state></rhs></transition><transition><lhs><state>12</state></lhs><rhs><state>49</state></rhs></transition><transition><lhs><state>12</state></lhs><rhs><state>71</state></rhs></transition><transition><lhs><state>104</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><state>140</state></lhs><rhs><state>50</state></rhs></transition><transition><lhs><state>335</state></lhs><rhs><state>423</state></rhs></transition><transition><lhs><state>126</state></lhs><rhs><state>89</state></rhs></transition><transition><lhs><state>216</state></lhs><rhs><state>53</state></rhs></transition><transition><lhs><state>362</state></lhs><rhs><state>303</state></rhs></transition><transition><lhs><state>162</state></lhs><rhs><state>91</state></rhs></transition><transition><lhs><state>162</state></lhs><rhs><state>93</state></rhs></transition><transition><lhs><state>162</state></lhs><rhs><state>209</state></rhs></transition><transition><lhs><state>256</state></lhs><rhs><state>167</state></rhs></transition><transition><lhs><state>160</state></lhs><rhs><state>339</state></rhs></transition><transition><lhs><state>68</state></lhs><rhs><state>9</state></rhs></transition><transition><lhs><state>68</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><state>68</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><state>68</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><state>159</state></lhs><rhs><state>277</state></rhs></transition><transition><lhs><state>340</state></lhs><rhs><state>330</state></rhs></transition><transition><lhs><state>142</state></lhs><rhs><state>50</state></rhs></transition><transition><lhs><state>266</state></lhs><rhs><state>209</state></rhs></transition><transition><lhs><state>194</state></lhs><rhs><state>154</state></rhs></transition><transition><lhs><state>442</state></lhs><rhs><state>283</state></rhs></transition><transition><lhs><state>56</state></lhs><rhs><state>117</state></rhs></transition><transition><lhs><state>56</state></lhs><rhs><state>153</state></rhs></transition><transition><lhs><state>94</state></lhs><rhs><state>163</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>351</state></lhs><rhs><state>352</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>350</state></lhs><rhs><state>351</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>390</state></lhs><rhs><state>391</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>335</state></lhs><rhs><state>336</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>360</state></lhs><rhs><state>361</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>400</state></lhs><rhs><state>401</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>401</state></lhs><rhs><state>402</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>285</state></lhs><rhs><state>286</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>391</state></lhs><rhs><state>392</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>336</state></lhs><rhs><state>337</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>283</state></lhs><rhs><state>284</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>399</state></lhs><rhs><state>400</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>389</state></lhs><rhs><state>390</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>284</state></lhs><rhs><state>285</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>359</state></lhs><rhs><state>360</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>361</state></lhs><rhs><state>362</state></rhs></transition><transition><lhs><name>b</name><height>5</height><state>436</state></lhs><rhs><state>437</state></rhs></transition><transition><lhs><name>b</name><height>5</height><state>426</state></lhs><rhs><state>427</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>5</height><state>428</state></lhs><rhs><state>429</state></rhs></transition><transition><lhs><name>b</name><height>5</height><state>438</state></lhs><rhs><state>439</state></rhs></transition><transition><lhs><name>b</name><height>5</height><state>434</state></lhs><rhs><state>435</state></rhs></transition><transition><lhs><name>a</name><height>5</height><state>441</state></lhs><rhs><state>442</state></rhs></transition><transition><lhs><name>a</name><height>5</height><state>430</state></lhs><rhs><state>431</state></rhs></transition><transition><lhs><name>a</name><height>5</height><state>440</state></lhs><rhs><state>441</state></rhs></transition><transition><lhs><name>a</name><height>5</height><state>431</state></lhs><rhs><state>432</state></rhs></transition><transition><lhs><name>a</name><height>5</height><state>429</state></lhs><rhs><state>430</state></rhs></transition><transition><lhs><name>a</name><height>5</height><state>439</state></lhs><rhs><state>440</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>331</state></lhs><rhs><state>332</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>279</state></lhs><rhs><state>280</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>281</state></lhs><rhs><state>282</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>277</state></lhs><rhs><state>278</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>333</state></lhs><rhs><state>334</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>347</state></lhs><rhs><state>348</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>397</state></lhs><rhs><state>398</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>393</state></lhs><rhs><state>394</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>387</state></lhs><rhs><state>388</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>395</state></lhs><rhs><state>396</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>339</state></lhs><rhs><state>340</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>329</state></lhs><rhs><state>330</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>357</state></lhs><rhs><state>358</state></rhs></transition><transition><lhs><name>c</name><height>4</height><state>355</state></lhs><rhs><state>356</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>166</state></lhs><rhs><state>167</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>92</state></lhs><rhs><state>93</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>120</state></lhs><rhs><state>121</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>50</state></lhs><rhs><state>51</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>52</state></lhs><rhs><state>53</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>118</state></lhs><rhs><state>119</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>90</state></lhs><rhs><state>91</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>122</state></lhs><rhs><state>123</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>164</state></lhs><rhs><state>165</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>168</state></lhs><rhs><state>169</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>54</state></lhs><rhs><state>55</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>117</state></lhs><rhs><state>118</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>167</state></lhs><rhs><state>168</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>51</state></lhs><rhs><state>52</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>165</state></lhs><rhs><state>166</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>119</state></lhs><rhs><state>120</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>91</state></lhs><rhs><state>92</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>141</state></lhs><rhs><state>142</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>163</state></lhs><rhs><state>164</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>139</state></lhs><rhs><state>140</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>97</state></lhs><rhs><state>98</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>121</state></lhs><rhs><state>122</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>53</state></lhs><rhs><state>54</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>49</state></lhs><rhs><state>50</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>124</state></lhs><rhs><state>125</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>170</state></lhs><rhs><state>171</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>123</state></lhs><rhs><state>124</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>169</state></lhs><rhs><state>170</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>125</state></lhs><rhs><state>126</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>95</state></lhs><rhs><state>96</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>55</state></lhs><rhs><state>56</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>56</state></lhs><rhs><state>57</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>57</state></lhs><rhs><state>58</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>94</state></lhs><rhs><state>95</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>93</state></lhs><rhs><state>94</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>171</state></lhs><rhs><state>172</state></rhs></transition><transition><lhs><name>c</name><height>0</height><state>3</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>c</name><height>0</height><state>1</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>c</name><height>0</height><state>2</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>a</name><height>0</height><state>2</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>a</name><height>0</height><state>3</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>a</name><height>0</height><state>1</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>160</state></lhs><rhs><state>161</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>223</state></lhs><rhs><state>224</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>255</state></lhs><rhs><state>256</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>263</state></lhs><rhs><state>264</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>305</state></lhs><rhs><state>306</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>159</state></lhs><rhs><state>160</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>307</state></lhs><rhs><state>308</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>306</state></lhs><rhs><state>307</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>224</state></lhs><rhs><state>225</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>254</state></lhs><rhs><state>255</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>214</state></lhs><rhs><state>215</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>265</state></lhs><rhs><state>266</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>264</state></lhs><rhs><state>265</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>253</state></lhs><rhs><state>254</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>215</state></lhs><rhs><state>216</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>225</state></lhs><rhs><state>226</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>262</state></lhs><rhs><state>263</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>302</state></lhs><rhs><state>303</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>156</state></lhs><rhs><state>157</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>258</state></lhs><rhs><state>259</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>250</state></lhs><rhs><state>251</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>260</state></lhs><rhs><state>261</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>252</state></lhs><rhs><state>253</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>212</state></lhs><rhs><state>213</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>218</state></lhs><rhs><state>219</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>304</state></lhs><rhs><state>305</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>210</state></lhs><rhs><state>211</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>158</state></lhs><rhs><state>159</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>154</state></lhs><rhs><state>155</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>248</state></lhs><rhs><state>249</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>0</height><state>1</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>b</name><height>0</height><state>2</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>b</name><height>0</height><state>3</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>8</state></lhs><rhs><state>9</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>10</state></lhs><rhs><state>11</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>64</state></lhs><rhs><state>65</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>60</state></lhs><rhs><state>61</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>62</state></lhs><rhs><state>63</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>6</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>9</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>71</state></lhs><rhs><state>72</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>63</state></lhs><rhs><state>64</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>61</state></lhs><rhs><state>62</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>37</state></lhs><rhs><state>38</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>7</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>35</state></lhs><rhs><state>36</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>101</state></lhs><rhs><state>102</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>103</state></lhs><rhs><state>104</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>59</state></lhs><rhs><state>60</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>5</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>346</state></lhs><rhs><state>347</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>332</state></lhs><rhs><state>333</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>348</state></lhs><rhs><state>349</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>394</state></lhs><rhs><state>395</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>344</state></lhs><rhs><state>345</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>356</state></lhs><rhs><state>357</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>280</state></lhs><rhs><state>281</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>358</state></lhs><rhs><state>359</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>282</state></lhs><rhs><state>283</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>386</state></lhs><rhs><state>387</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>388</state></lhs><rhs><state>389</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>278</state></lhs><rhs><state>279</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>398</state></lhs><rhs><state>399</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>396</state></lhs><rhs><state>397</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>334</state></lhs><rhs><state>335</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>330</state></lhs><rhs><state>331</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>207</state></lhs><rhs><state>208</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>261</state></lhs><rhs><state>262</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>249</state></lhs><rhs><state>250</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>219</state></lhs><rhs><state>220</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>247</state></lhs><rhs><state>248</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>217</state></lhs><rhs><state>218</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>157</state></lhs><rhs><state>158</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>193</state></lhs><rhs><state>194</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>155</state></lhs><rhs><state>156</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>257</state></lhs><rhs><state>258</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>153</state></lhs><rhs><state>154</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>303</state></lhs><rhs><state>304</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>259</state></lhs><rhs><state>260</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>251</state></lhs><rhs><state>252</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>66</state></lhs><rhs><state>67</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>67</state></lhs><rhs><state>68</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>13</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>12</state></lhs><rhs><state>13</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>65</state></lhs><rhs><state>66</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>11</state></lhs><rhs><state>12</state></rhs></transition><transition><lhs><name>c</name><height>5</height><state>433</state></lhs><rhs><state>434</state></rhs></transition><transition><lhs><name>c</name><height>5</height><state>435</state></lhs><rhs><state>436</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>437</state></lhs><rhs><state>438</state></rhs></transition><transition><lhs><name>c</name><height>5</height><state>427</state></lhs><rhs><state>428</state></rhs></transition><transition><lhs><name>c</name><height>5</height><state>425</state></lhs><rhs><state>426</state></rhs></transition></transitions></treeAutomaton><criterion><compatibility/></criterion></bounds></trsTerminationProof></proof><origin><proofOrigin><tool><name>ttt2</name><version>ttt2 1.20 [hg: unknown]</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 || wpo -msum -ib 3 -ob 4 -cpf || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( (wpo -cpf -dp -ur -sum -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -pol -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -max -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -msum -ib 3 -ob 3 [4] | wpo -cpf -dp -ur -mat -dim 2 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -mat -dim 3 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -ib 3 -ob 3 [9] | fail ) || 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 || wpo -msum -ib 3 -ob 4 -cpf || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( (wpo -cpf -dp -ur -sum -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -pol -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -max -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -msum -ib 3 -ob 3 [4] | wpo -cpf -dp -ur -mat -dim 2 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -mat -dim 3 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -ib 3 -ob 3 [9] | fail ) || 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 || wpo -msum -ib 3 -ob 4 -cpf || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( (wpo -cpf -dp -ur -sum -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -pol -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -max -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -msum -ib 3 -ob 3 [4] | wpo -cpf -dp -ur -mat -dim 2 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -mat -dim 3 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -ib 3 -ob 3 [9] | fail ) || 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 || wpo -msum -ib 3 -ob 4 -cpf || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( (wpo -cpf -dp -ur -sum -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -pol -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -max -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -msum -ib 3 -ob 3 [4] | wpo -cpf -dp -ur -mat -dim 2 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -mat -dim 3 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -ib 3 -ob 3 [9] | fail ) || 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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