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SRS Standard Certified pair #487547703
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
n009.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2_cert
runtime (wallclock)
6.62581300735 seconds
cpu usage
25.149974802
max memory
1.862180864E9
stage attributes
key
value
certification-result
CERTIFIED
output-size
36204
starexec-result
YES
certification-time
1.1
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>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>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>102</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><state>356</state></lhs><rhs><state>371</state></rhs></transition><transition><lhs><state>338</state></lhs><rhs><state>209</state></rhs></transition><transition><lhs><state>98</state></lhs><rhs><state>42</state></rhs></transition><transition><lhs><state>10</state></lhs><rhs><state>41</state></rhs></transition><transition><lhs><state>10</state></lhs><rhs><state>71</state></rhs></transition><transition><lhs><state>96</state></lhs><rhs><state>53</state></rhs></transition><transition><lhs><state>120</state></lhs><rhs><state>205</state></rhs></transition><transition><lhs><state>120</state></lhs><rhs><state>259</state></rhs></transition><transition><lhs><state>3</state></lhs><rhs><state>35</state></rhs></transition><transition><lhs><state>184</state></lhs><rhs><state>142</state></rhs></transition><transition><lhs><state>50</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><state>50</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><state>50</state></lhs><rhs><state>88</state></rhs></transition><transition><lhs><state>298</state></lhs><rhs><state>249</state></rhs></transition><transition><lhs><state>130</state></lhs><rhs><state>42</state></rhs></transition><transition><lhs><state>304</state></lhs><rhs><state>351</state></rhs></transition><transition><lhs><state>246</state></lhs><rhs><state>44</state></rhs></transition><transition><lhs><state>380</state></lhs><rhs><state>292</state></rhs></transition><transition><lhs><state>1</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><state>8</state></lhs><rhs><state>87</state></rhs></transition><transition><lhs><state>60</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><state>60</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><state>60</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><state>60</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><state>44</state></lhs><rhs><state>207</state></rhs></transition><transition><lhs><state>38</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><state>58</state></lhs><rhs><state>101</state></rhs></transition><transition><lhs><state>36</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><state>268</state></lhs><rhs><state>208</state></rhs></transition><transition><lhs><state>72</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><state>150</state></lhs><rhs><state>89</state></rhs></transition><transition><lhs><state>150</state></lhs><rhs><state>90</state></rhs></transition><transition><lhs><state>54</state></lhs><rhs><state>129</state></rhs></transition><transition><lhs><state>308</state></lhs><rhs><state>153</state></rhs></transition><transition><lhs><state>308</state></lhs><rhs><state>143</state></rhs></transition><transition><lhs><state>124</state></lhs><rhs><state>43</state></rhs></transition><transition><lhs><state>124</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><state>264</state></lhs><rhs><state>269</state></rhs></transit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me>a</name><height>4</height><state>290</state></lhs><rhs><state>291</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>289</state></lhs><rhs><state>290</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>353</state></lhs><rhs><state>354</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>352</state></lhs><rhs><state>353</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>341</state></lhs><rhs><state>342</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>342</state></lhs><rhs><state>343</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>343</state></lhs><rhs><state>344</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>329</state></lhs><rhs><state>330</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>351</state></lhs><rhs><state>352</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>190</state></lhs><rhs><state>191</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>46</state></lhs><rhs><state>47</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>158</state></lhs><rhs><state>159</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>44</state></lhs><rhs><state>45</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>48</state></lhs><rhs><state>49</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>94</state></lhs><rhs><state>95</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>154</state></lhs><rhs><state>155</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>192</state></lhs><rhs><state>193</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>188</state></lhs><rhs><state>189</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>41</state></lhs><rhs><state>42</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>117</state></lhs><rhs><state>118</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>205</state></lhs><rhs><state>206</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>186</state></lhs><rhs><state>187</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>129</state></lhs><rhs><state>130</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>88</state></lhs><rhs><state>89</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>42</state></lhs><rhs><state>43</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>87</state></lhs><rhs><state>88</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>185</state></lhs><rhs><state>186</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>89</state></lhs><rhs><state>90</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>187</state></lhs><rhs><state>188</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>97</state></lhs><rhs><state>98</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>116</state></lhs><rhs><state>117</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>43</state></lhs><rhs><state>44</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>151</state></lhs><rhs><state>152</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>123</state></lhs><rhs><state>124</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>159</state></lhs><rhs><state>160</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>45</state></lhs><rhs><state>46</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>95</state></lhs><rhs><state>96</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>47</state></lhs><rhs><state>48</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>191</state></lhs><rhs><state>192</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>189</state></lhs><rhs><state>190</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>193</state></lhs><rhs><state>194</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>49</state></lhs><rhs><state>50</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>93</state></lhs><rhs><state>94</state></rhs></transition><transition><lhs><name>c</name><height>2</height><state>157</state></lhs><rhs><state>158</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>b</name><height>0</height><state>2</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>b</name><height>0</height><state>3</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>b</name><height>0</height><state>1</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>255</state></lhs><rhs><state>256</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>263</state></lhs><rhs><state>264</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>241</state></lhs><rhs><state>242</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>305</state></lhs><rhs><state>306</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>147</state></lhs><rhs><state>148</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>149</state></lhs><rhs><state>150</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>251</state></lhs><rhs><state>252</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>307</state></lhs><rhs><state>308</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>267</state></lhs><rhs><state>268</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>303</state></lhs><rhs><state>304</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>265</state></lhs><rhs><state>266</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>253</state></lhs><rhs><state>254</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>245</state></lhs><rhs><state>246</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>215</state></lhs><rhs><state>216</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>243</state></lhs><rhs><state>244</state></rhs></transition><transition><lhs><name>c</name><height>3</height><state>213</state></lhs><rhs><state>214</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>146</state></lhs><rhs><state>147</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>266</state></lhs><rhs><state>267</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>242</state></lhs><rhs><state>243</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>214</state></lhs><rhs><state>215</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>306</state></lhs><rhs><state>307</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>148</state></lhs><rhs><state>149</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>240</state></lhs><rhs><state>241</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>264</state></lhs><rhs><state>265</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>244</state></lhs><rhs><state>245</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>254</state></lhs><rhs><state>255</state></rhs></transition><transition><lhs><name>a</name><height>0</height><state>1</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>a</name><height>0</height><state>2</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>a</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>54</state></lhs><rhs><state>55</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>58</state></lhs><rhs><state>59</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>56</state></lhs><rhs><state>57</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>12</state></lhs><rhs><state>13</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>51</state></lhs><rhs><state>52</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>71</state></lhs><rhs><state>72</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>37</state></lhs><rhs><state>38</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>6</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>53</state></lhs><rhs><state>54</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>7</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>52</state></lhs><rhs><state>53</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>35</state></lhs><rhs><state>36</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>101</state></lhs><rhs><state>102</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>103</state></lhs><rhs><state>104</state></rhs></transition><transition><lhs><name>a</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>272</state></lhs><rhs><state>273</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>292</state></lhs><rhs><state>293</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>344</state></lhs><rhs><state>345</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>336</state></lhs><rhs><state>337</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>354</state></lhs><rhs><state>355</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>294</state></lhs><rhs><state>295</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>274</state></lhs><rhs><state>275</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>296</state></lhs><rhs><state>297</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>334</state></lhs><rhs><state>335</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>207</state></lhs><rhs><state>208</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>261</state></lhs><rhs><state>262</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>299</state></lhs><rhs><state>300</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>249</state></lhs><rhs><state>250</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>237</state></lhs><rhs><state>238</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>248</state></lhs><rhs><state>249</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>247</state></lhs><rhs><state>248</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>300</state></lhs><rhs><state>301</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>208</state></lhs><rhs><state>209</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>141</state></lhs><rhs><state>142</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>209</state></lhs><rhs><state>210</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>142</state></lhs><rhs><state>143</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>143</state></lhs><rhs><state>144</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>301</state></lhs><rhs><state>302</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>238</state></lhs><rhs><state>239</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>259</state></lhs><rhs><state>260</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>260</state></lhs><rhs><state>261</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>239</state></lhs><rhs><state>240</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>13</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>c</name><height>1</height><state>55</state></lhs><rhs><state>56</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>57</state></lhs><rhs><state>58</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>11</state></lhs><rhs><state>12</state></rhs></transition><transition><lhs><name>a</name><height>5</height><state>371</state></lhs><rhs><state>372</state></rhs></transition><transition><lhs><name>a</name><height>5</height><state>372</state></lhs><rhs><state>373</state></rhs></transition><transition><lhs><name>a</name><height>5</height><state>373</state></lhs><rhs><state>374</state></rhs></transition></transitions></treeAutomaton><criterion><compatibility/></criterion></bounds></trsTerminationProof></stringReversal></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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