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SRS Standard Certified pair #516957944
details
property
value
status
complete
benchmark
3865.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n116.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2_cert
runtime (wallclock)
81.7968039513 seconds
cpu usage
299.851136953
max memory
4.46861312E9
stage attributes
key
value
certification-result
certification timeout
starexec-result
YES
certification-time
900
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" 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napp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>2</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></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><stringReversal><trs><rules><rule><lhs><funapp><name>3</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>5</name><arg><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>2</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></rhs></rule><rule><lhs><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>2</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></rhs></rule><rule><lhs><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>5</name><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>1</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></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>5</name><arg><funapp><name>0</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>2</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></rhs></rule><rule><lhs><funapp><name>5</name><arg><funapp><name>5</name><arg><funapp><name>4</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></lhs><rhs><funapp><name>5</name><arg><funapp><name>5</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>3</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>3</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></rhs></rule><rule><lhs><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>0</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></lhs><rhs><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>1</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></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>4</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></lhs><rhs><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>2</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></arg></funapp></arg></funapp></arg></funapp></a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me><arg><funapp><name>5</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></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>2</name><arg><funapp><name>3</name><arg><funapp><name>5</name><arg><funapp><name>5</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>2</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></rhs></rule></rules></trs><trsTerminationProof><bounds><type><match/></type><bound>2</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>1389</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><state>1405</state></lhs><rhs><state>730</state></rhs></transition><transition><lhs><state>1760</state></lhs><rhs><state>1791</state></rhs></transition><transition><lhs><state>1659</state></lhs><rhs><state>91</state></rhs></transition><transition><lhs><state>1793</state></lhs><rhs><state>2238</state></rhs></transition><transition><lhs><state>2521</state></lhs><rhs><state>858</state></rhs></transition><transition><lhs><state>2891</state></lhs><rhs><state>160</state></rhs></transition><transition><lhs><state>1602</state></lhs><rhs><state>2463</state></rhs></transition><transition><lhs><state>1151</state></lhs><rhs><state>832</state></rhs></transition><transition><lhs><state>867</state></lhs><rhs><state>858</state></rhs></transition><transition><lhs><state>2421</state></lhs><rhs><state>243</state></rhs></transition><transition><lhs><state>869</state></lhs><rhs><state>858</state></rhs></transition><transition><lhs><state>869</state></lhs><rhs><state>1047</state></rhs></transition><transition><lhs><state>964</state></lhs><rhs><state>2426</state></rhs></transition><transition><lhs><state>964</state></lhs><rhs><state>2538</state></rhs></transition><transition><lhs><state>2253</state></lhs><rhs><state>441</state></rhs></transition><transition><lhs><state>2253</state></lhs><rhs><state>2318</state></rhs></transition><transition><lhs><state>2253</state></lhs><rhs><state>2576</state></rhs></transition><transition><lhs><state>2253</state></lhs><rhs><state>2584</state></rhs></transition><transition><lhs><state>2253</state></lhs><rhs><state>2634</state></rhs></transition><transition><lhs><state>731</state></lhs><rhs><state>99</state></rhs></transition><transition><lhs><state>2178</state></lhs><rhs><state>748</state></rhs></transition><transition><lhs><state>1579</state></lhs><rhs><state>763</state></rhs></transition><transition><lhs><state>2872</state></lhs><rhs><state>161</state></rhs></transition><transition><lhs><state>2216</state></lhs><rhs><state>160</state></rhs></transition><transition><lhs><state>2216</state></lhs><rhs><state>2544</state></rhs></transition><transition><lhs><state>835</state></lhs><rhs><state>1879</state></rhs></transition><transition><lhs><state>1751</state></lhs><rhs><state>2158</state></rhs></transition><transition><lhs><state>2921</state></lhs><rhs><state>1104</state></rhs></transition><transition><lhs><state>830</state></lhs><rhs><state>1548</state></rhs></transition><transition><lhs><state>2809</state></lhs><rhs><state>441</state></rhs></transition><transition><lhs><state>1441</state></lhs><rhs><state>551</state></rhs></transition><transition><lhs><state>1529</state></lhs><rhs><state>243</state></rhs></transition><transition><lhs><state>2367</state></lhs><rhs><state>484</state></rhs></transition><transition><lhs><state>2367</state></lhs><rhs><state>2546</state></rhs></transition><transition><lhs><state>2367</state></lhs><rhs><state>2604</state></rhs></transition><transition><lhs><state>1056</state></lhs><rhs><state>1048</state></rhs></transition><transition><lhs><state>1056</state></lhs><rhs><state>1743</state></rhs></transition><transition><lhs><state>271</state></lhs><rhs><state>243</state></rhs></transition><transition><lhs><state>271</state></lhs><rhs><state>1552</state></rhs></transition><transition><lhs><state>271</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><state>1551</state></lhs><rhs><state>751</state></rhs></transition><transition><lhs><state>1463</state></lhs><rhs><state>1576</state></rhs></transition><transition><lhs><state>2605</state></lhs><rhs><state>1058</state></rhs></transition><transition><lhs><state>2205</state></lhs><rhs><state>2938</state></rhs></transition><transition><lhs><state>2205</state></lhs><rhs><state>3055</state></rhs></transition><transition><lhs><state>2110</state></lhs><rhs><state>1142</state></rhs></transition><transition><lhs><state>2268</state></lhs><rhs><state>999</state></rhs></transition><transition><lhs><state>2268</state></lhs><rhs><state>966</state></rhs></transition><transition><lhs><state>2268</state></lhs><rhs><state>696</state></rhs></transition><transition><lhs><state>2268</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><state>2268</state></lhs><rhs><state>937</state></rhs></transition><transition><lhs><state>1697</state></lhs><rhs><state>858</state></rhs></transition><transition><lhs><state>2641</state></lhs><rhs><state>1080</state></rhs></transition><transition><lhs><state>2641</state></lhs><rhs><state>2700</state></rhs></transition><transition><lhs><state>715</state></lhs><rhs><state>921</state></rhs></transition><transition><lhs><state>715</state></lhs><rhs><state>1278</state></rhs></transition><transition><lhs><state>715</state></lhs><rhs><state>43</state></rhs></transition><transition><lhs><state>715</state></lhs><rhs><state>374</state></rhs></transition><transition><lhs><state>715</state></lhs><rhs><state>2503</state></rhs></transition><transition><lhs><state>715</state></lhs><rhs><state>2486</state></rhs></transition><transition><lhs><state>2769</state></lhs><rhs><state>161</state></rhs></transition><transition><lhs><state>214</state></lhs><rhs><state>161</state></rhs></transition><transition><lhs><state>214</state></lhs><rhs><state>396</state></rhs></transition><transition><lhs><state>214</state></lhs><rhs><state>680</state></rhs></transition><transition><lhs><state>214</state></lhs><rhs><state>414</state></rhs></transition><transition><lhs><state>214</state></lhs><rhs><state>435</state></rhs></transition><transition><lhs><state>214</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><state>214</state></lhs><rhs><state>172</state></rhs></transition><transition><lhs><state>214</state></lhs><rhs><state>2220</state></rhs></transition><transition><lhs><state>214</state></lhs><rhs><state>2533</state></rhs></transition><transition><lhs><state>1475</state></lhs><rhs><state>492</state></rhs></transition><transition><lhs><state>2525</state></lhs><rhs><state>592</state></rhs></transition><transition><lhs><state>2504</state></lhs><rhs><state>858</state></rhs></transition><transition><lhs><state>1007</state></lhs><rhs><state>251</state></rhs></transition><transition><lhs><state>1354</state></lhs><rhs><state>2101</state></rhs></transition><transition><lhs><state>1603</state></lhs><rhs><state>2221</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>620</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>912</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>416</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>2533</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>611</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>2537</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>399</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>2397</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>2167</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>396</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>2220</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>212</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>1000</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>612</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>637</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>547</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>414</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>415</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>435</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>172</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>851</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>417</state></rhs></transition><transition><lhs><state>2962</state></lhs><rhs><state>638</state></rhs></transition><transition><lhs><state>10</state></lhs><rhs><state>820</state></rhs></transition><transition><lhs><state>10</state></lhs><rhs><state>829</state></rhs></transition><transition><lhs><state>10</state></lhs><rhs><state>837</state></rhs></transition><transition><lhs><state>2297</state></lhs><rhs><state>2259</state></rhs></transition><transition><lhs><state>2905</state></lhs><rhs><state>907</state></rhs></transition><transition><lhs><state>2247</state></lhs><rhs><state>441</state></rhs></transition><transition><lhs><state>2247</state></lhs><rhs><state>2302</state></rhs></transition><transition><lhs><state>2247</state></lhs><rhs><state>2574</state></rhs></transition><transition><lhs><state>2247</state></lhs><rhs><state>2582</state></rhs></transition><transition><lhs><state>2247</state></lhs><rhs><state>2612</state></rhs></transition><transition><lhs><state>2062</state></lhs><rhs><state>1960</state></rhs></transition><transition><lhs><state>2062</state></lhs><rhs><state>1869</state></rhs></transition><transition><lhs><state>2062</state></lhs><rhs><state>1399</state></rhs></transition><transition><lhs><state>2062</state></lhs><rhs><state>1411</state></rhs></transition><transition><lhs><state>1379</state></lhs><rhs><state>441</state></rhs></transition><transition><lhs><state>1379</state></lhs><rhs><state>1388</state></rhs></transition><transition><lhs><state>1379</state></lhs><rhs><state>1899</state></rhs></transition><transition><lhs><state>1379</state></lhs><rhs><state>1927</state></rhs></transition><transition><lhs><state>1379</state></lhs><rhs><state>1943</state></rhs></transition><transition><lhs><state>1487</state></lhs><rhs><state>696</state></rhs></transition><transition><lhs><state>2137</state></lhs><rhs><state>91</state></rhs></transition><transition><lhs><state>2218</state></lhs><rhs><state>160</state></rhs></transition><transition><lhs><state>2317</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><state>2394</state></lhs><rhs><state>2778</state></rhs></transition><transition><lhs><state>2767</state></lhs><rhs><state>160</state></rhs></transition><transition><lhs><state>1864</state></lhs><rhs><state>1015</state></rhs></transition><transition><lhs><state>1864</state></lhs><rhs><state>1887</state></rhs></transition><transition><lhs><state>2427</state></lhs><rhs><state>243</state></rhs></transition><transition><lhs><state>2728</state></lhs><rhs><state>1192</state></rhs></transition><transition><lhs><state>1391</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><state>1794</state></lhs><rhs><state>213</state></rhs></transition><transition><lhs><state>2549</state></lhs><rhs><state>1015</state></rhs></transition><transition><lhs><state>2549</state></lhs><rhs><state>2570</state></rhs></transition><transition><lhs><state>2549</state></lhs><rhs><state>2668</state></rhs></transition><transition><lhs><state>640</state></lhs><rhs><state>1749</state></rhs></transition><transition><lhs><state>640</state></lhs><rhs><state>1795</state></rhs></transition><transition><lhs><state>1046</state></lhs><rhs><state>1037</state></rhs></transition><transition><lhs><state>1717</state></lhs><rhs><state>747</state></rhs></transition><transition><lhs><state>1717</state></lhs><rhs><state>434</state></rhs></transition><transition><lhs><state>1717</state></lhs><rhs><state>1079</state></rhs></transition><transition><lhs><state>1717</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><state>1717</state></lhs><rhs><state>309</state></rhs></transition><transition><lhs><state>1717</state></lhs><rhs><state>334</state></rhs></transition><transition><lhs><state>1250</state></lhs><rhs><state>966</state></rhs></transition><transition><lhs><state>1250</state></lhs><rhs><state>999</state></rhs></transition><transition><lhs><state>1250</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><state>1250</state></lhs><rhs><state>965</state></rhs></transition><transition><lhs><state>1237</state></lhs><rhs><state>967</state></rhs></transition><transition><lhs><state>1237</state></lhs><rhs><state>546</state></rhs></transition><transition><lhs><state>1479</state></lhs><rhs><state>671</state></rhs></transition><transition><lhs><state>1479</state></lhs><rhs><state>2450</state></rhs></transition><transition><lhs><state>448</state></lhs><rhs><state>379</state></rhs></transition><transition><lhs><state>2603</state></lhs><rhs><state>1058</state></rhs></transition><transition><lhs><state>1121</state></lhs><rhs><state>271</state></rhs></transition><transition><lhs><state>1121</state></lhs><rhs><state>948</state></rhs></transition><transition><lhs><state>1121</state></lhs><rhs><state>333</state></rhs></transition><transition><lhs><state>1121</state></lhs><rhs><state>213</state></rhs></transition><transition><lhs><state>1121</state></lhs><rhs><state>40</state></rhs></transition><transition><lhs><state>1121</state></lhs><rhs><state>306</state></rhs></transition><transition><lhs><state>1121</state></lhs><rhs><state>556</state></rhs></transition><transition><lhs><state>1121</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><state>1121</state></lhs><rhs><state>2427</state></rhs></transition><transition><lhs><state>1121</state></lhs><rhs><state>509</state></rhs></transition><transition><lhs><state>1121</state></lhs><rhs><state>2462</state></rhs></transition><transition><lhs><state>1473</state></lhs><rhs><state>1462</state></rhs></transition><transition><lhs><state>1473</state></lhs><rhs><state>1480</state></rhs></transition><transition><lhs><state>1769</state></lhs><rhs><state>1758</state></rhs></tra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ansition><transition><lhs><state>1043</state></lhs><rhs><state>1472</state></rhs></transition><transition><lhs><state>1043</state></lhs><rhs><state>1592</state></rhs></transition><transition><lhs><state>2859</state></lhs><rhs><state>240</state></rhs></transition><transition><lhs><state>2859</state></lhs><rhs><state>2860</state></rhs></transition><transition><lhs><state>913</state></lhs><rhs><state>929</state></rhs></transition><transition><lhs><state>373</state></lhs><rhs><state>1680</state></rhs></transition><transition><lhs><state>1063</state></lhs><rhs><state>701</state></rhs></transition><transition><lhs><state>795</state></lhs><rhs><state>1266</state></rhs></transition><transition><lhs><state>795</state></lhs><rhs><state>1478</state></rhs></transition><transition><lhs><state>1334</state></lhs><rhs><state>372</state></rhs></transition><transition><lhs><state>1094</state></lhs><rhs><state>1528</state></rhs></transition><transition><lhs><state>1094</state></lhs><rhs><state>1799</state></rhs></transition><transition><lhs><state>1773</state></lhs><rhs><state>213</state></rhs></transition><transition><lhs><state>93</state></lhs><rhs><state>896</state></rhs></transition><transition><lhs><state>2531</state></lhs><rhs><state>161</state></rhs></transition><transition><lhs><state>1491</state></lhs><rhs><state>1787</state></rhs></transition><transition><lhs><state>1872</state></lhs><rhs><state>1024</state></rhs></transition><transition><lhs><state>981</state></lhs><rhs><state>1204</state></rhs></transition><transition><lhs><state>981</state></lhs><rhs><state>1238</state></rhs></transition><transition><lhs><state>981</state></lhs><rhs><state>1240</state></rhs></transition><transition><lhs><state>981</state></lhs><rhs><state>1768</state></rhs></transition><transition><lhs><state>2255</state></lhs><rhs><state>441</state></rhs></transition><transition><lhs><state>1369</state></lhs><rhs><state>441</state></rhs></transition><transition><lhs><state>1555</state></lhs><rhs><state>757</state></rhs></transition><transition><lhs><state>738</state></lhs><rhs><state>317</state></rhs></transition><transition><lhs><state>1201</state></lhs><rhs><state>1049</state></rhs></transition><transition><lhs><state>1201</state></lhs><rhs><state>1926</state></rhs></transition><transition><lhs><state>169</state></lhs><rhs><state>1337</state></rhs></transition><transition><lhs><state>169</state></lhs><rhs><state>1376</state></rhs></transition><transition><lhs><state>169</state></lhs><rhs><state>1418</state></rhs></transition><transition><lhs><state>169</state></lhs><rhs><state>2271</state></rhs></transition><transition><lhs><state>1604</state></lhs><rhs><state>2469</state></rhs></transition><transition><lhs><state>1216</state></lhs><rhs><state>91</state></rhs></transition><transition><lhs><state>100</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><state>100</state></lhs><rhs><state>546</state></rhs></transition><transition><lhs><state>100</state></lhs><rhs><state>967</state></rhs></transition><transition><lhs><state>100</state></lhs><rhs><state>595</state></rhs></transition><transition><lhs><state>100</state></lhs><rhs><state>1059</state></rhs></transition><transition><lhs><state>1832</state></lhs><rhs><state>1002</state></rhs></transition><transition><lhs><state>746</state></lhs><rhs><state>730</state></rhs></transition><transition><lhs><state>2779</state></lhs><rhs><state>441</state></rhs></transition><transition><lhs><state>2669</state></lhs><rhs><state>1088</state></rhs></transition><transition><lhs><state>1044</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><state>1044</state></lhs><rhs><state>999</state></rhs></transition><transition><lhs><state>1044</state></lhs><rhs><state>966</state></rhs></transition><transition><lhs><state>1044</state></lhs><rhs><state>696</state></rhs></transition><transition><lhs><state>1044</state></lhs><rhs><state>937</state></rhs></transition><transition><lhs><state>2817</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><state>1020</state></lhs><rhs><state>1658</state></rhs></transition><transition><lhs><state>1878</state></lhs><rhs><state>1026</state></rhs></transition><transition><lhs><state>3066</state></lhs><rhs><state>857</state></rhs></transition><transition><lhs><state>2486</state></lhs><rhs><state>91</state></rhs></transition><transition><lhs><state>2486</state></lhs><rhs><state>2503</state></rhs></transition><transition><lhs><state>1021</state></lhs><rhs><state>973</state></rhs></transition><transition><lhs><state>2077</state></lhs><rhs><state>271</state></rhs></transition><transition><lhs><state>2077</state></lhs><rhs><state>2427</state></rhs></transition><transition><lhs><state>2077</state></lhs><rhs><state>509</state></rhs></transition><transition><lhs><state>2077</state></lhs><rhs><state>2462</state></rhs></transition><transition><lhs><state>1605</state></lhs><rhs><state>992</state></rhs></transition><transition><lhs><state>1605</stat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/name><height>1</height><state>1554</state></lhs><rhs><state>1555</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>2831</state></lhs><rhs><state>2832</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>1592</state></lhs><rhs><state>1593</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>1849</state></lhs><rhs><state>1850</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>2582</state></lhs><rhs><state>2583</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>892</state></lhs><rhs><state>893</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>2588</state></lhs><rhs><state>2589</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>1491</state></lhs><rhs><state>1492</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>1552</state></lhs><rhs><state>1553</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>1033</state></lhs><rhs><state>1034</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>487</state></lhs><rhs><state>488</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>841</state></lhs><rhs><state>842</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>842</state></lhs><rhs><state>843</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>1741</state></lhs><rhs><state>1742</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>2904</state></lhs><rhs><state>2905</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>942</state></lhs><rhs><state>943</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>981</state></lhs><rhs><state>982</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>1694</state></lhs><rhs><state>1695</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>1749</state></lhs><rhs><state>1750</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>2364</state></lhs><rhs><state>2365</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>1117</state></lhs><rhs><state>1118</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>2584</state></lhs><rhs><state>2585</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>377</state></lhs><rhs><state>378</state></rhs></transition><transition><lhs><name>3</name><height>1</height><state>2856</state></lhs><rhs><state>2857</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>2200</state></lhs><rhs><state>2201</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>2088</state></lhs><rhs><state>2089</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>1232</state></lhs><rhs><state>1233</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>2266</state></lhs><rhs><state>2267</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>2054</state></lhs><rhs><state>2055</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>1132</state></lhs><rhs><state>1133</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>2089</state></lhs><rhs><state>2090</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>1144</state></lhs><rhs><state>1145</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>2070</state></lhs><rhs><state>2071</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>1133</state></lhs><rhs><state>1134</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>2267</state></lhs><rhs><state>2268</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>1143</state></lhs><rhs><state>1144</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>2260</state></lhs><rhs><state>2261</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>2069</state></lhs><rhs><state>2070</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>1172</state></lhs><rhs><state>1173</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>1231</state></lhs><rhs><state>1232</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>2055</state></lhs><rhs><state>2056</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>1195</state></lhs><rhs><state>1196</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>1173</state></lhs><rhs><state>1174</state></rhs></transition><transition><lhs><name>4</name><height>2</height><state>1196</state></lhs><rhs><state>1197</state></rhs></transition><transition><lhs><name>3</name><height>0</height><state>1</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>3</name><height>0</height><state>6</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>3</name><height>0</height><state>5</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>3</name><height>0</height><state>2</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>3</name><height>0</height><state>3</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>3</name><height>0</height><state>4</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2390</state></lhs><rhs><state>2391</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2393</state></lhs><rhs><state>2394</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>1192</state></lhs><rhs><state>1193</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2958</state></lhs><rhs><state>2959</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2953</state></lhs><rhs><state>2954</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2447</state></lhs><rhs><state>2448</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2172</state></lhs><rhs><state>2173</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2075</state></lhs><rhs><state>2076</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>1138</state></lhs><rhs><state>1139</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>1233</state></lhs><rhs><state>1234</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2060</state></lhs><rhs><state>2061</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2094</state></lhs><rhs><state>2095</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2198</state></lhs><rhs><state>2199</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2955</state></lhs><rhs><state>2956</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2960</state></lhs><rhs><state>2961</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2205</state></lhs><rhs><state>2206</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2386</state></lhs><rhs><state>2387</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>1197</state></lhs><rhs><state>1198</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>1228</state></lhs><rhs><state>1229</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2203</state></lhs><rhs><state>2204</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2169</state></lhs><rhs><state>2170</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2445</state></lhs><rhs><state>2446</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2265</state></lhs><rhs><state>2266</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2263</state></lhs><rhs><state>2264</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>1178</state></lhs><rhs><state>1179</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2956</state></lhs><rhs><state>2957</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2387</state></lhs><rhs><state>2388</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2385</state></lhs><rhs><state>2386</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>2961</state></lhs><rhs><state>2962</state></rhs></transition><transition><lhs><name>1</name><height>2</height><state>1149</state></lhs><rhs><state>1150</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])) || (if standard then (bounds -cert || fail;(bounds -rfc -qc)) else fail)))! || (( 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])) || (if standard then (bounds -cert || fail;(bounds -rfc -qc)) else fail)))! || (( 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])) || (if standard then (bounds -cert || fail;(bounds -rfc -qc)) else fail)))![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])) || (if standard then (bounds -cert || fail;(bounds -rfc -qc)) else fail)))! || (( unfold || fail)*[7])!)[299])))</strategy></tool></proofOrigin></origin></certificationProblem>
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