/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>1</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></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>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></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>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></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>3</bound><finalStates><state>7</state></finalStates><treeAutomaton><finalStates><state>7</state></finalStates><transitions><transition><lhs><state>280</state></lhs><rhs><state>304</state></rhs></transition><transition><lhs><state>61</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><state>61</state></lhs><rhs><state>34</state></rhs></transition><transition><lhs><state>229</state></lhs><rhs><state>135</state></rhs></transition><transition><lhs><state>289</state></lhs><rhs><state>269</state></rhs></transition><transition><lhs><state>146</state></lhs><rhs><state>176</state></rhs></transition><transition><lhs><state>341</state></lhs><rhs><state>88</state></rhs></transition><transition><lhs><state>95</state></lhs><rhs><state>34</state></rhs></transition><transition><lhs><state>95</state></lhs><rhs><state>40</state></rhs></transition><transition><lhs><state>319</state></lhs><rhs><state>305</state></rhs></transition><transition><lhs><state>55</state></lhs><rhs><state>68</state></rhs></transition><transition><lhs><state>175</state></lhs><rhs><state>77</state></rhs></transition><transition><lhs><state>40</state></lhs><rhs><state>48</state></rhs></transition><transition><lhs><state>287</state></lhs><rhs><state>82</state></rhs></transition><transition><lhs><state>316</state></lhs><rhs><state>322</state></rhs></transition><transition><lhs><state>410</state></lhs><rhs><state>418</state></rhs></transition><transition><lhs><state>392</state></lhs><rhs><state>404</state></rhs></transition><transition><lhs><state>334</state></lhs><rhs><state>342</state></rhs></transition><transition><lhs><state>416</state></lhs><rhs><state>436</state></rhs></transition><transition><lhs><state>60</state></lhs><rhs><state>74</state></rhs></transition><transition><lhs><state>60</state></lhs><rhs><state>76</state></rhs></transition><transition><lhs><state>125</state></lhs><rhs><state>34</state></rhs></transition><transition><lhs><state>125</state></lhs><rhs><state>40</state></rhs></transition><transition><lhs><state>125</state></lhs><rhs><state>174</state></rhs></transition><transition><lhs><state>125</state></lhs><rhs><state>66</state></rhs></transition><transition><lhs><state>125</state></lhs><rhs><state>54</state></rhs></transition><transition><lhs><state>207</state></lhs><rhs><state>113</state></rhs></transition><transition><lhs><state>153</state></lhs><rhs><state>40</state></rhs></transition><transition><lhs><state>153</state></lhs><rhs><state>174</state></rhs></transition><transition><lhs><state>153</state></lhs><rhs><state>66</state></rhs></transition><transition><lhs><state>153</state></lhs><rhs><state>54</state></rhs></transition><transition><lhs><state>88</state></lhs><rhs><state>112</state></rhs></transition><transition><lhs><state>54</state></lhs><rhs><state>66</state></rhs></transition><transition><lhs><state>54</state></lhs><rhs><state>174</state></rhs></transition><transition><lhs><state>75</state></lhs><rhs><state>29</state></rhs></transition><transition><lhs><state>124</state></lhs><rhs><state>134</state></rhs></transition><transition><lhs><state>124</state></lhs><rhs><state>268</state></rhs></transition><transition><lhs><state>67</state></lhs><rhs><state>49</state></rhs></transition><transition><lhs><state>437</state></lhs><rhs><state>381</state></rhs></transition><transition><lhs><state>118</state></lhs><rhs><state>130</state></rhs></transition><transition><lhs><state>419</state></lhs><rhs><state>405</state></rhs></transition><transition><lhs><state>188</state></lhs><rhs><state>228</state></rhs></transition><transition><lhs><state>188</state></lhs><rhs><state>288</state></rhs></transition><transition><lhs><state>379</state></lhs><rhs><state>343</state></rhs></transition><transition><lhs><state>348</state></lhs><rhs><state>378</state></rhs></transition><transition><lhs><state>7</state></lhs><rhs><state>28</state></rhs></transition><transition><lhs><state>69</state></lhs><rhs><state>29</state></rhs></transition><transition><lhs><state>417</state></lhs><rhs><state>118</state></rhs></transition><transition><lhs><state>182</state></lhs><rhs><state>206</state></rhs></transition><transition><lhs><state>189</state></lhs><rhs><state>40</state></rhs></transition><transition><lhs><state>189</state></lhs><rhs><state>174</state></rhs></transition><transition><lhs><state>189</state></lhs><rhs><state>66</state></rhs></transition><transition><lhs><state>189</state></lhs><rhs><state>54</state></rhs></transition><transition><lhs><state>310</state></lhs><rhs><state>318</state></rhs></transition><transition><lhs><state>47</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><state>47</state></lhs><rhs><state>34</state></rhs></transition><transition><lhs><state>131</state></lhs><rhs><state>113</state></rhs></transition><transition><lhs><state>399</state></lhs><rhs><state>118</state></rhs></transition><transition><lhs><state>354</state></lhs><rhs><state>380</state></rhs></transition><transition><lhs><state>317</state></lhs><rhs><state>82</state></rhs></transition><transition><lhs><state>355</state></lhs><rhs><state>88</state></rhs></transition><transition><lhs><name>4</name><height>1</height><state>57</state></lhs><rhs><state>58</state></rhs></transition><transition><lhs><name>4</name><height>1</height><state>49</state></lhs><rhs><state>50</state></rhs></transition><transition><lhs><name>4</name><height>1</height><state>29</state></lhs><rhs><state>30</state></rhs></transition><transition><lhs><name>4</name><height>1</height><state>35</state></lhs><rhs><state>36</state></rhs></transition><transition><lhs><name>4</name><height>1</height><state>43</state></lhs><rhs><state>44</state></rhs></transition><transition><lhs><name>5</name><height>2</height><state>130</state></lhs><rhs><state>131</state></rhs></transition><transition><lhs><name>5</name><height>2</height><state>82</state></lhs><rhs><state>83</state></rhs></transition><transition><lhs><name>5</name><height>2</height><state>120</state></lhs><rhs><state>121</state></rhs></transition><transition><lhs><name>5</name><height>2</height><state>134</state></lhs><rhs><state>135</state></rhs></transition><transition><lhs><name>5</name><height>2</height><state>148</state></lhs><rhs><state>149</state></rhs></transition><transition><lhs><name>5</name><height>2</height><state>140</state></lhs><rhs><state>141</state></rhs></transition><transition><lhs><name>5</name><height>2</height><state>174</state></lhs><rhs><state>175</state></rhs></transition><transition><lhs><name>5</name><height>2</height><state>90</state></lhs><rhs><state>91</state></rhs></transition><transition><lhs><name>5</name><height>2</height><state>228</state></lhs><rhs><state>229</state></rhs></transition><transition><lhs><name>5</name><height>2</height><state>76</state></lhs><rhs><state>77</state></rhs></transition><transition><lhs><name>5</name><height>2</height><state>184</state></lhs><rhs><state>185</state></rhs></transition><transition><lhs><name>5</name><height>2</height><state>176</state></lhs><rhs><state>177</state></rhs></transition><transition><lhs><name>5</name><height>2</height><state>112</state></lhs><rhs><state>113</state></rhs></transition><transition><lhs><name>5</name><height>2</height><state>206</state></lhs><rhs><state>207</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>143</state></lhs><rhs><state>144</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>79</state></lhs><rhs><state>80</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>85</state></lhs><rhs><state>86</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>137</state></lhs><rhs><state>138</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>93</state></lhs><rhs><state>94</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>187</state></lhs><rhs><state>188</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>123</state></lhs><rhs><state>124</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>151</state></lhs><rhs><state>152</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>179</state></lhs><rhs><state>180</state></rhs></transition><transition><lhs><name>2</name><height>2</height><state>115</state></lhs><rhs><state>116</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>119</state></lhs><rhs><state>120</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>183</state></lhs><rhs><state>184</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>188</state></lhs><rhs><state>189</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>86</state></lhs><rhs><state>87</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>138</state></lhs><rhs><state>139</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>116</state></lhs><rhs><state>117</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>144</state></lhs><rhs><state>145</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>182</state></lhs><rhs><state>183</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>80</state></lhs><rhs><state>81</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>180</state></lhs><rhs><state>181</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>124</state></lhs><rhs><state>125</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>88</state></lhs><rhs><state>89</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>118</state></lhs><rhs><state>119</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>146</state></lhs><rhs><state>147</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>89</state></lhs><rhs><state>90</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>147</state></lhs><rhs><state>148</state></rhs></transition><transition><lhs><name>4</name><height>3</height><state>337</state></lhs><rhs><state>338</state></rhs></transition><transition><lhs><name>4</name><height>3</height><state>395</state></lhs><rhs><state>396</state></rhs></transition><transition><lhs><name>4</name><height>3</height><state>313</state></lhs><rhs><state>314</state></rhs></transition><transition><lhs><name>4</name><height>3</height><state>323</state></lhs><rhs><state>324</state></rhs></transition><transition><lhs><name>4</name><height>3</height><state>305</state></lhs><rhs><state>306</state></rhs></transition><transition><lhs><name>4</name><height>3</height><state>413</state></lhs><rhs><state>414</state></rhs></transition><transition><lhs><name>4</name><height>3</height><state>269</state></lhs><rhs><state>270</state></rhs></transition><transition><lhs><name>4</name><height>3</height><state>283</state></lhs><rhs><state>284</state></rhs></transition><transition><lhs><name>4</name><height>3</height><state>329</state></lhs><rhs><state>330</state></rhs></transition><transition><lhs><name>4</name><height>3</height><state>405</state></lhs><rhs><state>406</state></rhs></transition><transition><lhs><name>4</name><height>3</height><state>387</state></lhs><rhs><state>388</state></rhs></transition><transition><lhs><name>4</name><height>3</height><state>343</state></lhs><rhs><state>344</state></rhs></transition><transition><lhs><name>4</name><height>3</height><state>275</state></lhs><rhs><state>276</state></rhs></transition><transition><lhs><name>4</name><height>3</height><state>381</state></lhs><rhs><state>382</state></rhs></transition><transition><lhs><name>4</name><height>3</height><state>351</state></lhs><rhs><state>352</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>46</state></lhs><rhs><state>47</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>39</state></lhs><rhs><state>40</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>33</state></lhs><rhs><state>34</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>53</state></lhs><rhs><state>54</state></rhs></transition><transition><lhs><name>4</name><height>0</height><state>7</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>436</state></lhs><rhs><state>437</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>386</state></lhs><rhs><state>387</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>336</state></lhs><rhs><state>337</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>318</state></lhs><rhs><state>319</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>394</state></lhs><rhs><state>395</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>312</state></lhs><rhs><state>313</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>412</state></lhs><rhs><state>413</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>322</state></lhs><rhs><state>323</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>268</state></lhs><rhs><state>269</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>304</state></lhs><rhs><state>305</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>288</state></lhs><rhs><state>289</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>350</state></lhs><rhs><state>351</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>274</state></lhs><rhs><state>275</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>328</state></lhs><rhs><state>329</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>404</state></lhs><rhs><state>405</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>342</state></lhs><rhs><state>343</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>378</state></lhs><rhs><state>379</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>418</state></lhs><rhs><state>419</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>380</state></lhs><rhs><state>381</state></rhs></transition><transition><lhs><name>5</name><height>3</height><state>282</state></lhs><rhs><state>283</state></rhs></transition><transition><lhs><name>3</name><height>3</height><state>396</state></lhs><rhs><state>397</state></rhs></transition><transition><lhs><name>3</name><height>3</height><state>276</state></lhs><rhs><state>277</state></rhs></transition><transition><lhs><name>3</name><height>3</height><state>314</state></lhs><rhs><state>315</state></rhs></transition><transition><lhs><name>3</name><height>3</height><state>284</state></lhs><rhs><state>285</state></rhs></transition><transition><lhs><name>3</name><height>3</height><state>414</state></lhs><rhs><state>415</state></rhs></transition><transition><lhs><name>3</name><height>3</height><state>330</state></lhs><rhs><state>331</state></rhs></transition><transition><lhs><name>3</name><height>3</height><state>352</state></lhs><rhs><state>353</state></rhs></transition><transition><lhs><name>3</name><height>3</height><state>388</state></lhs><rhs><state>389</state></rhs></transition><transition><lhs><name>3</name><height>3</height><state>344</state></lhs><rhs><state>345</state></rhs></transition><transition><lhs><name>3</name><height>3</height><state>406</state></lhs><rhs><state>407</state></rhs></transition><transition><lhs><name>3</name><height>3</height><state>382</state></lhs><rhs><state>383</state></rhs></transition><transition><lhs><name>3</name><height>3</height><state>324</state></lhs><rhs><state>325</state></rhs></transition><transition><lhs><name>3</name><height>3</height><state>338</state></lhs><rhs><state>339</state></rhs></transition><transition><lhs><name>3</name><height>3</height><state>306</state></lhs><rhs><state>307</state></rhs></transition><transition><lhs><name>3</name><height>3</height><state>270</state></lhs><rhs><state>271</state></rhs></transition><transition><lhs><name>5</name><height>0</height><state>7</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>0</name><height>2</height><state>139</state></lhs><rhs><state>140</state></rhs></transition><transition><lhs><name>0</name><height>2</height><state>181</state></lhs><rhs><state>182</state></rhs></transition><transition><lhs><name>0</name><height>2</height><state>87</state></lhs><rhs><state>88</state></rhs></transition><transition><lhs><name>0</name><height>2</height><state>117</state></lhs><rhs><state>118</state></rhs></transition><transition><lhs><name>0</name><height>2</height><state>81</state></lhs><rhs><state>82</state></rhs></transition><transition><lhs><name>0</name><height>2</height><state>145</state></lhs><rhs><state>146</state></rhs></transition><transition><lhs><name>0</name><height>2</height><state>94</state></lhs><rhs><state>95</state></rhs></transition><transition><lhs><name>0</name><height>2</height><state>152</state></lhs><rhs><state>153</state></rhs></transition><transition><lhs><name>2</name><height>3</height><state>277</state></lhs><rhs><state>278</state></rhs></transition><transition><lhs><name>2</name><height>3</height><state>331</state></lhs><rhs><state>332</state></rhs></transition><transition><lhs><name>2</name><height>3</height><state>285</state></lhs><rhs><state>286</state></rhs></transition><transition><lhs><name>2</name><height>3</height><state>407</state></lhs><rhs><state>408</state></rhs></transition><transition><lhs><name>2</name><height>3</height><state>307</state></lhs><rhs><state>308</state></rhs></transition><transition><lhs><name>2</name><height>3</height><state>383</state></lhs><rhs><state>384</state></rhs></transition><transition><lhs><name>2</name><height>3</height><state>345</state></lhs><rhs><state>346</state></rhs></transition><transition><lhs><name>2</name><height>3</height><state>325</state></lhs><rhs><state>326</state></rhs></transition><transition><lhs><name>2</name><height>3</height><state>315</state></lhs><rhs><state>316</state></rhs></transition><transition><lhs><name>2</name><height>3</height><state>339</state></lhs><rhs><state>340</state></rhs></transition><transition><lhs><name>2</name><height>3</height><state>353</state></lhs><rhs><state>354</state></rhs></transition><transition><lhs><name>2</name><height>3</height><state>397</state></lhs><rhs><state>398</state></rhs></transition><transition><lhs><name>2</name><height>3</height><state>271</state></lhs><rhs><state>272</state></rhs></transition><transition><lhs><name>2</name><height>3</height><state>415</state></lhs><rhs><state>416</state></rhs></transition><transition><lhs><name>2</name><height>3</height><state>389</state></lhs><rhs><state>390</state></rhs></transition><transition><lhs><name>3</name><height>0</height><state>7</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>1</name><height>1</height><state>60</state></lhs><rhs><state>61</state></rhs></transition><transition><lhs><name>1</name><height>1</height><state>54</state></lhs><rhs><state>55</state></rhs></transition><transition><lhs><name>1</name><height>1</height><state>41</state></lhs><rhs><state>42</state></rhs></transition><transition><lhs><name>1</name><height>1</height><state>52</state></lhs><rhs><state>53</state></rhs></transition><transition><lhs><name>1</name><height>1</height><state>40</state></lhs><rhs><state>41</state></rhs></transition><transition><lhs><name>1</name><height>1</height><state>32</state></lhs><rhs><state>33</state></rhs></transition><transition><lhs><name>1</name><height>1</height><state>38</state></lhs><rhs><state>39</state></rhs></transition><transition><lhs><name>1</name><height>1</height><state>55</state></lhs><rhs><state>56</state></rhs></transition><transition><lhs><name>2</name><height>1</height><state>31</state></lhs><rhs><state>32</state></rhs></transition><transition><lhs><name>2</name><height>1</height><state>59</state></lhs><rhs><state>60</state></rhs></transition><transition><lhs><name>2</name><height>1</height><state>45</state></lhs><rhs><state>46</state></rhs></transition><transition><lhs><name>2</name><height>1</height><state>37</state></lhs><rhs><state>38</state></rhs></transition><transition><lhs><name>2</name><height>1</height><state>51</state></lhs><rhs><state>52</state></rhs></transition><transition><lhs><name>1</name><height>0</height><state>7</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>2</name><height>0</height><state>7</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>5</name><height>1</height><state>34</state></lhs><rhs><state>35</state></rhs></transition><transition><lhs><name>5</name><height>1</height><state>48</state></lhs><rhs><state>49</state></rhs></transition><transition><lhs><name>5</name><height>1</height><state>68</state></lhs><rhs><state>69</state></rhs></transition><transition><lhs><name>5</name><height>1</height><state>66</state></lhs><rhs><state>67</state></rhs></transition><transition><lhs><name>5</name><height>1</height><state>56</state></lhs><rhs><state>57</state></rhs></transition><transition><lhs><name>5</name><height>1</height><state>74</state></lhs><rhs><state>75</state></rhs></transition><transition><lhs><name>5</name><height>1</height><state>28</state></lhs><rhs><state>29</state></rhs></transition><transition><lhs><name>5</name><height>1</height><state>42</state></lhs><rhs><state>43</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>411</state></lhs><rhs><state>412</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>334</state></lhs><rhs><state>335</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>410</state></lhs><rhs><state>411</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>311</state></lhs><rhs><state>312</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>354</state></lhs><rhs><state>355</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>308</state></lhs><rhs><state>309</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>384</state></lhs><rhs><state>385</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>393</state></lhs><rhs><state>394</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>392</state></lhs><rhs><state>393</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>332</state></lhs><rhs><state>333</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>416</state></lhs><rhs><state>417</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>326</state></lhs><rhs><state>327</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>310</state></lhs><rhs><state>311</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>348</state></lhs><rhs><state>349</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>278</state></lhs><rhs><state>279</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>281</state></lhs><rhs><state>282</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>335</state></lhs><rhs><state>336</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>280</state></lhs><rhs><state>281</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>390</state></lhs><rhs><state>391</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>316</state></lhs><rhs><state>317</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>346</state></lhs><rhs><state>347</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>349</state></lhs><rhs><state>350</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>408</state></lhs><rhs><state>409</state></rhs></transition><transition><lhs><name>1</name><height>3</height><state>272</state></lhs><rhs><state>273</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>36</state></lhs><rhs><state>37</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>44</state></lhs><rhs><state>45</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>50</state></lhs><rhs><state>51</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>30</state></lhs><rhs><state>31</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>58</state></lhs><rhs><state>59</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>113</state></lhs><rhs><state>114</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>83</state></lhs><rhs><state>84</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>121</state></lhs><rhs><state>122</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>77</state></lhs><rhs><state>78</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>141</state></lhs><rhs><state>142</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>149</state></lhs><rhs><state>150</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>135</state></lhs><rhs><state>136</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>91</state></lhs><rhs><state>92</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>185</state></lhs><rhs><state>186</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>177</state></lhs><rhs><state>178</state></rhs></transition><transition><lhs><name>0</name><height>3</height><state>340</state></lhs><rhs><state>341</state></rhs></transition><transition><lhs><name>0</name><height>3</height><state>327</state></lhs><rhs><state>328</state></rhs></transition><transition><lhs><name>0</name><height>3</height><state>409</state></lhs><rhs><state>410</state></rhs></transition><transition><lhs><name>0</name><height>3</height><state>333</state></lhs><rhs><state>334</state></rhs></transition><transition><lhs><name>0</name><height>3</height><state>279</state></lhs><rhs><state>280</state></rhs></transition><transition><lhs><name>0</name><height>3</height><state>273</state></lhs><rhs><state>274</state></rhs></transition><transition><lhs><name>0</name><height>3</height><state>385</state></lhs><rhs><state>386</state></rhs></transition><transition><lhs><name>0</name><height>3</height><state>398</state></lhs><rhs><state>399</state></rhs></transition><transition><lhs><name>0</name><height>3</height><state>347</state></lhs><rhs><state>348</state></rhs></transition><transition><lhs><name>0</name><height>3</height><state>286</state></lhs><rhs><state>287</state></rhs></transition><transition><lhs><name>0</name><height>3</height><state>391</state></lhs><rhs><state>392</state></rhs></transition><transition><lhs><name>0</name><height>3</height><state>309</state></lhs><rhs><state>310</state></rhs></transition><transition><lhs><name>0</name><height>0</height><state>7</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>3</name><height>2</height><state>92</state></lhs><rhs><state>93</state></rhs></transition><transition><lhs><name>3</name><height>2</height><state>178</state></lhs><rhs><state>179</state></rhs></transition><transition><lhs><name>3</name><height>2</height><state>78</state></lhs><rhs><state>79</state></rhs></transition><transition><lhs><name>3</name><height>2</height><state>186</state></lhs><rhs><state>187</state></rhs></transition><transition><lhs><name>3</name><height>2</height><state>122</state></lhs><rhs><state>123</state></rhs></transition><transition><lhs><name>3</name><height>2</height><state>136</state></lhs><rhs><state>137</state></rhs></transition><transition><lhs><name>3</name><height>2</height><state>114</state></lhs><rhs><state>115</state></rhs></transition><transition><lhs><name>3</name><height>2</height><state>150</state></lhs><rhs><state>151</state></rhs></transition><transition><lhs><name>3</name><height>2</height><state>84</state></lhs><rhs><state>85</state></rhs></transition><transition><lhs><name>3</name><height>2</height><state>142</state></lhs><rhs><state>143</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>