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SRS Standard Certified pair #487546209
details
property
value
status
complete
benchmark
3385.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n055.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2_cert
runtime (wallclock)
13.3137869835 seconds
cpu usage
51.968259997
max memory
2.48172544E9
stage attributes
key
value
certification-result
CERTIFIED
output-size
87308
starexec-result
YES
certification-time
29.2
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2_cert /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- 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>0</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>5</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>5</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>5</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>5</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>5</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>3</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>3</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>3</name><arg><funapp><name>0</name><arg><funapp><name>5</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>3</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>2</name><arg><funapp><name>5</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>5</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>5</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>5</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>5</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>5</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>5</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><var>x1</var></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>3</bound><finalStates><state>6</state><state>5</state><state>4</state><state>3</state><state>2</state><state>1</state></finalStates><treeAutomaton><finalStates><state>6</state><state>5</state><state>4</state><state>3</state><state>2</state><state>1</state></finalStates><transitions><transition><lhs><state>272</state></lhs><rhs><state>747</state></rhs></transition><transition><lhs><state>314</state></lhs><rhs><state>290</state></rhs></transition><transition><lhs><state>314</state></lhs><rhs><state>28</state></rhs></transition><transition><lhs><state>314</state></lhs><rhs><state>115</state></rhs></transition><transition><lhs><state>314</state></lhs><rhs><state>279</state></rhs></transition><transition><lhs><state>314</state></lhs><rhs><state>202</state></rhs></transition><transition><lhs><state>314</state></lhs><rhs><state>69</state></rhs></transition><transition><lhs><state>314</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><state>366</state></lhs><rhs><state>361</state></rhs></transition><transition><lhs><state>364</state></lhs><rhs><state>343</state></rhs></transition><transition><lhs><state>111</state></lhs><rhs><state>301</state></rhs></transition><transition><lhs><state>111</state></lhs><rhs><state>325</state></rhs></transition><transition><lhs><state>111</state></lhs><rhs><state>327</state></rhs></transition><transition><lhs><state>322</state></lhs><rhs><state>316</state></rhs></transition><transition><lhs><state>793</state></lhs><rhs><state>237</state></rhs></transition><transition><lhs><state>376</state></lhs><rhs><state>370</state></rhs></transition><transition><lhs><state>280</state></lhs><rhs><state>269</state></rhs></transition><transition><lhs><state>534</state></lhs><rhs><state>302</state></rhs></transition><transition><lhs><state>102</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><state>102</state></lhs><rhs><state>376</state></rhs></transition><transition><lhs><state>102</state></lhs><rhs><state>378</state></rhs></transition><transition><lhs><state>102</state></lhs><rhs><state>533</state></rhs></transition><transition><lhs><state>29</state></lhs><rhs><state>9</state></rhs></transition><transition><lhs><state>29</state></lhs><rhs><state>237</state></rhs></transition><transition><lhs><state>750</state></lhs><rhs><state>416</state></rhs></transition><transition><lhs><state>338</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><state>338</state></lhs><rhs><state>358</state></rhs></transition><transition><lhs><state>338</state></lhs><rhs><state>354</state></rhs></transition><transition><lhs><state>338</state></lhs><rhs><state>55</state></rhs></transition><transition><lhs><state>338</state></lhs><rhs><state>151</state></rhs></transition><transition><lhs><state>338</state></lhs><rhs><state>70</state></rhs></transition><transition><lhs><state>338</state></lhs><rhs><state>721</state></rhs></transition><transition><lhs><state>338</state></lhs><rhs><state>445</state></rhs></transition><transition><lhs><state>338</state></lhs><rhs><state>762</state></rhs></transition><transition><lhs><state>791</state></lhs><rhs><state>302</state></rhs></transition><transition><lhs><state>658</state></lhs><rhs><state>101</state></rhs></transition><transition><lhs><state>152</state></lhs><rhs><state>195</state></rhs></transition><transition><lhs><state>286</state></lhs><rhs><state>269</state></rhs></transition><transition><lhs><state>286</state></lhs><rhs><state>375</state></rhs></transition><transition><lhs><state>229</state></lhs><rhs><state>203</state></rhs></transition><transition><lhs><state>229</state></lhs><rhs><state>365</state></rhs></transition><transition><lhs><state>809</state></lhs><rhs><state>702</state></rhs></transition><transition><lhs><state>274</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><state>274</state></lhs><rhs><state>327</state></rhs></transition><transition><lhs><state>274</state></lhs><rhs><state>301</state></rhs></transition><transition><lhs><state>274</state></lhs><rhs><state>325</state></rhs></transition><transition><lhs><state>274</state></lhs><rhs><state>111</state></rhs></transition><transition><lhs><state>273</state></lhs><rhs><state>427</state></rhs></transition><transition><lhs><state>273</state></lhs><rhs><state>549</state></rhs></transition><transition><lhs><state>742</state></lhs><rhs><state>415</state></rhs></transition><transition><lhs><state>97</state></lhs><rhs><state>55</state></rhs></transition><transition><lhs><state>97</state></lhs><rhs><state>352</state></rhs></transition><transition><lhs><state>734</state></lhs><rhs><state>9</state></rhs></transition><transition><lhs><state>289</state></lhs><rhs><state>774</state></rhs></transition><transition><lhs><state>781</state></lhs><rhs><state>183</state></rhs></transition><transition><lhs><state>374</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><state>374</state></lhs><rhs><state>529</state></rhs></transition><transition><lhs><state>374</state></lhs><rhs><state>367</state></rhs></transition><transition><lhs><state>374</state></lhs><rhs><state>203</state></rhs></transition><transition><lhs><state>438</state></lhs><rhs><state>151</state></rhs></transition><transition><lhs><state>560</state></lhs><rhs><state>237</state></rhs></transition><transition><lhs><state>129</state></lhs><rhs><state>111</state></rhs></transition><transition><lhs><state>129</state></lhs><rhs><state>412</state></rhs></transition><transition><lhs><state>326</state></lhs><rhs><state>316</state></rhs></transition><transition><lhs><state>530</state></lhs><rhs><state>302</state></rhs></transition><transition><lhs><state>655</state></lhs><rhs><state>763</state></rhs></transition><transition><lhs><state>728</state></lhs><rhs><state>373</state></rhs></transition><transition><lhs><state>167</state></lhs><rhs><state>152</state></rhs></transition><transition><lhs><state>167</state></lhs><rhs><state>287</state></rhs></transition><transition><lhs><state>461</state></lhs><rhs><state>152</state></rhs></transition><transition><lhs><state>550</state></lhs><rhs><state>237</state></rhs></transition><transition><lhs><state>469</state></lhs><rhs><state>183</state></rhs></transition><transition><lhs><state>227</state></lhs><rhs><state>203</state></rhs></transition><transition><lhs><state>815</state></lhs><rhs><state>702</state></rhs></transition><transition><lhs><state>3</state></lhs><rhs><state>52</state></rhs></transition><transition><lhs><state>3</state></lhs><rhs><state>96</state></rhs></transition><transition><lhs><state>3</state></lhs><rhs><state>128</state></rhs></transition><transition><lhs><state>3</state></lhs><rhs><state>228</state></rhs></transition><transition><lhs><state>3</state></lhs><rhs><state>277</state></rhs></transition><transition><lhs><state>57</state></lhs><rhs><state>462</state></rhs></transition><transition><lhs><state>218</state></lhs><rhs><state>203</state></rhs></transition><transition><lhs><state>218</state></lhs><rhs><state>360</state></rhs></transition><transition><lhs><state>382</state></lhs><rhs><state>373</state></rhs></transition><transition><lhs><state>817</state></lhs><rhs><state>111</state></rhs></transition><transition><lhs><state>500</state></lhs><rhs><state>269</state></rhs></transition><transition><lhs><state>500</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><state>500</state></lhs><rhs><state>280</state></rhs></transition><transition><lhs><state>405</state></lhs><rhs><state>58</state></rhs></transition><transition><lhs><state>405</state></lhs><rhs><state>727</state></rhs></transition><transition><lhs><state>9</state></lhs><rhs><state>193</state></rhs></transition><transition><lhs><state>9</state></lhs><rhs><state>266</state></rhs></transition><transition><lhs><state>9</state></lhs><rhs><state>310</state></rhs></transition><transition><lhs><state>331</state></lhs><rhs><state>437</state></rhs></transition><transition><lhs><state>331</state></lhs><rhs><state>439</state></rhs></transition><transition><lhs><state>331</state></lhs><rhs><state>477</state></rhs></transition><transition><lhs><state>5</state></lhs><rhs><state>44</state></rhs></transition><transition><lhs><state>5</state></lhs><rhs><state>84</state></rhs></transition><transition><lhs><state>5</state></lhs><rhs><state>110</state></rhs></transition><transition><lhs><state>5</state></lhs><rhs><state>217</state></rhs></transition><transition><lhs><state>5</state></lhs><rhs><state>268</state></rhs></transition><transition><lhs><state>443</state></lhs><rhs><state>418</state></rhs></transition><transition><lhs><state>59</state></lhs><rhs><state>13</state></rhs></transition><transition><lhs><state>199</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><state>199</state></lhs><rhs><state>327</state></rhs></transition><transition><lhs><state>199</state></lhs><rhs><state>301</state></rhs></transition><transition><lhs><state>199</state></lhs><rhs><state>111</state></rhs></transition><transition><lhs><state>199</state></lhs><rhs><state>321</state></rhs></transition><transition><lhs><state>199</state></lhs><rhs><state>140</state></rhs></transition><transition><lhs><state>483</state></lhs><rhs><state>327</state></rhs></transition><transition><lhs><state>483</state></lhs><rhs><state>301</state></rhs></transition><t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e></rhs></transition><transition><lhs><state>72</state></lhs><rhs><state>166</state></rhs></transition><transition><lhs><state>72</state></lhs><rhs><state>356</state></rhs></transition><transition><lhs><state>552</state></lhs><rhs><state>237</state></rhs></transition><transition><lhs><state>178</state></lhs><rhs><state>152</state></rhs></transition><transition><lhs><state>178</state></lhs><rhs><state>299</state></rhs></transition><transition><lhs><state>178</state></lhs><rhs><state>379</state></rhs></transition><transition><lhs><state>509</state></lhs><rhs><state>502</state></rhs></transition><transition><lhs><state>509</state></lhs><rhs><state>602</state></rhs></transition><transition><lhs><state>207</state></lhs><rhs><state>468</state></rhs></transition><transition><lhs><state>207</state></lhs><rhs><state>501</state></rhs></transition><transition><lhs><state>207</state></lhs><rhs><state>615</state></rhs></transition><transition><lhs><state>779</state></lhs><rhs><state>446</state></rhs></transition><transition><lhs><state>6</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><state>6</state></lhs><rhs><state>54</state></rhs></transition><transition><lhs><state>6</state></lhs><rhs><state>126</state></rhs></transition><transition><lhs><state>6</state></lhs><rhs><state>226</state></rhs></transition><transition><lhs><state>6</state></lhs><rhs><state>283</state></rhs></transition><transition><lhs><state>726</state></lhs><rhs><state>373</state></rhs></transition><transition><lhs><state>773</state></lhs><rhs><state>302</state></rhs></transition><transition><lhs><state>773</state></lhs><rhs><state>420</state></rhs></transition><transition><lhs><state>116</state></lhs><rhs><state>111</state></rhs></transition><transition><lhs><state>116</state></lhs><rhs><state>319</state></rhs></transition><transition><lhs><state>116</state></lhs><rhs><state>402</state></rhs></transition><transition><lhs><state>627</state></lhs><rhs><state>616</state></rhs></transition><transition><lhs><state>153</state></lhs><rhs><state>453</state></rhs></transition><transition><lhs><state>799</state></lhs><rhs><state>315</state></rhs></transition><transition><lhs><state>394</state></lhs><rhs><state>101</state></rhs></transition><transition><lhs><state>498</state></lhs><rhs><state>240</state></rhs></transition><transition><lhs><state>764</state></lhs><rhs><state>56</state></rhs></transition><transition><lhs><state>270</state></lhs><rhs><state>333</state></rhs></transition><transition><lhs><state>270</state></lhs><rhs><state>497</state></rhs></transition><transition><lhs><state>368</state></lhs><rhs><state>361</state></rhs></transition><transition><lhs><state>569</state></lhs><rhs><state>315</state></rhs></transition><transition><lhs><state>53</state></lhs><rhs><state>9</state></rhs></transition><transition><lhs><state>53</state></lhs><rhs><state>187</state></rhs></transition><transition><lhs><state>803</state></lhs><rhs><state>111</state></rhs></transition><transition><lhs><state>2</state></lhs><rhs><state>42</state></rhs></transition><transition><lhs><state>2</state></lhs><rhs><state>82</state></rhs></transition><transition><lhs><state>2</state></lhs><rhs><state>141</state></rhs></transition><transition><lhs><state>2</state></lhs><rhs><state>209</state></rhs></transition><transition><lhs><state>2</state></lhs><rhs><state>285</state></rhs></transition><transition><lhs><state>180</state></lhs><rhs><state>101</state></rhs></transition><transition><lhs><state>313</state></lhs><rhs><state>681</state></rhs></transition><transition><lhs><state>797</state></lhs><rhs><state>315</state></rhs></transition><transition><lhs><state>797</state></lhs><rhs><state>806</state></rhs></transition><transition><lhs><state>4</state></lhs><rhs><state>30</state></rhs></transition><transition><lhs><state>4</state></lhs><rhs><state>71</state></rhs></transition><transition><lhs><state>4</state></lhs><rhs><state>139</state></rhs></transition><transition><lhs><state>4</state></lhs><rhs><state>215</state></rhs></transition><transition><lhs><state>4</state></lhs><rhs><state>281</state></rhs></transition><transition><lhs><state>528</state></lhs><rhs><state>377</state></rhs></transition><transition><lhs><state>528</state></lhs><rhs><state>269</state></rhs></transition><transition><lhs><state>528</state></lhs><rhs><state>280</state></rhs></transition><transition><lhs><state>344</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><state>344</state></lhs><rhs><state>358</state></rhs></transition><transition><lhs><state>344</state></lhs><rhs><state>354</state></rhs></transition><transition><lhs><state>344</state></lhs><rhs><state>55</state></rhs></transition><transition><lhs><state>344</state></lhs><rhs><state>151</state></rhs></transition><transition><lhs><state>344</state></lhs><rhs><state>70</state></rhs></transition><transition><lhs><state>463</state></lhs><rhs><state>101</state></rhs></transition><transition><lhs><state>284</state></lhs><rhs><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state></lhs><rhs><state>208</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>187</state></lhs><rhs><state>188</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>478</state></lhs><rhs><state>479</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>183</state></lhs><rhs><state>184</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>497</state></lhs><rhs><state>498</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>529</state></lhs><rhs><state>530</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>191</state></lhs><rhs><state>192</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>334</state></lhs><rhs><state>335</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>203</state></lhs><rhs><state>204</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>313</state></lhs><rhs><state>314</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>13</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>482</state></lhs><rhs><state>483</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>193</state></lhs><rhs><state>194</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>790</state></lhs><rhs><state>791</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>533</state></lhs><rhs><state>534</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>816</state></lhs><rhs><state>817</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>375</state></lhs><rhs><state>376</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>721</state></lhs><rhs><state>722</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>301</state></lhs><rhs><state>302</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>369</state></lhs><rhs><state>370</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>381</state></lhs><rhs><state>382</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>239</state></lhs><rhs><state>240</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>189</state></lhs><rhs><state>190</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>377</state></lhs><rhs><state>378</state></rhs></transition><transition><lhs><name>0</name><height>2</height><state>523</state></lhs><rhs><state>524</state></rhs></transition><transition><lhs><name>0</name><height>2</height><state>702</state></lhs><rhs><state>703</state></rhs></transition><transition><lhs><name>0</name><height>2</height><state>715</state></lhs><rhs><state>716</state></rhs></transition><transition><lhs><name>0</name><height>2</height><state>419</state></lhs><rhs><state>420</state></rhs></transition><transition><lhs><name>0</name><height>0</height><state>1</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>0</name><height>0</height><state>6</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>0</name><height>0</height><state>5</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>0</name><height>0</height><state>2</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>0</name><height>0</height><state>3</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>0</name><height>0</height><state>4</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>527</state></lhs><rhs><state>528</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>714</state></lhs><rhs><state>715</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>808</state></lhs><rhs><state>809</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>717</state></lhs><rhs><state>718</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>814</state></lhs><rhs><state>815</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>417</state></lhs><rhs><state>418</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>540</state></lhs><rhs><state>541</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>701</state></lhs><rhs><state>702</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>418</state></lhs><rhs><state>419</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>704</state></lhs><rhs><state>705</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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