/export/starexec/sandbox2/solver/bin/starexec_run_tct_dci_cert /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


WORST_CASE(?,O(n^1))
<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="cpfHTML.xsl"?>
<certificationProblem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="cpf.xsd"><input><complexityInput><trsInput><trs><rules><rule><lhs><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></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>b</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</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><strategy><innermost/></strategy><relativeRules><rules/></relativeRules></trsInput><derivationalComplexity><signature><symbol><name>a</name><arity>1</arity></symbol><symbol><name>b</name><arity>1</arity></symbol></signature></derivationalComplexity><polynomial>1</polynomial></complexityInput></input><cpfVersion>2.2</cpfVersion><proof><complexityProof><relativeBounds><bounds><type><match/></type><bound>4</bound><finalStates><state>1</state><state>2</state></finalStates><treeAutomaton><finalStates><state>1</state><state>2</state><state>3</state><state>7</state><state>10</state><state>4</state><state>5</state><state>6</state><state>8</state><state>9</state><state>11</state><state>12</state><state>13</state><state>14</state><state>16</state><state>17</state><state>18</state><state>19</state><state>15</state><state>20</state><state>21</state><state>22</state><state>24</state><state>25</state><state>26</state><state>27</state><state>28</state><state>29</state><state>30</state><state>32</state><state>33</state><state>34</state><state>35</state><state>31</state><state>36</state><state>37</state><state>38</state><state>40</state><state>41</state><state>42</state><state>43</state><state>44</state><state>45</state><state>46</state><state>48</state><state>49</state><state>50</state><state>23</state><state>39</state><state>47</state></finalStates><transitions><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>1</height><state>3</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>3</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>3</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>4</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>6</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>9</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>10</state></lhs><rhs><state>9</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>11</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>11</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>12</state></lhs><rhs><state>11</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>14</state></lhs><rhs><state>13</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>17</state></lhs><rhs><state>16</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>18</state></lhs><rhs><state>17</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>19</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>19</state></lhs><rhs><state>15</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>20</state></lhs><rhs><state>19</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>22</state></lhs><rhs><state>21</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>25</state></lhs><rhs><state>24</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>26</state></lhs><rhs><state>25</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>27</state></lhs><rhs><state>26</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>28</state></lhs><rhs><state>27</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>30</state></lhs><rhs><state>29</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>33</state></lhs><rhs><state>32</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>34</state></lhs><rhs><state>33</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>35</state></lhs><rhs><state>15</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>35</state></lhs><rhs><state>31</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>36</state></lhs><rhs><state>35</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>38</state></lhs><rhs><state>37</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>41</state></lhs><rhs><state>40</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>42</state></lhs><rhs><state>41</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>43</state></lhs><rhs><state>31</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>44</state></lhs><rhs><state>43</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>46</state></lhs><rhs><state>45</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>49</state></lhs><rhs><state>48</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>50</state></lhs><rhs><state>49</state></rhs></transition><transition><lhs><name>b</name><height>0</height><state>1</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>b</name><height>0</height><state>2</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>1</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>2</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>3</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>5</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>7</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>8</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>19</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>3</state></lhs><rhs><state>18</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>6</state></lhs><rhs><state>26</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>13</state></lhs><rhs><state>12</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>15</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>16</state></lhs><rhs><state>15</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>19</state></lhs><rhs><state>18</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>21</state></lhs><rhs><state>20</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>22</state></lhs><rhs><state>26</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>23</state></lhs><rhs><state>22</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>24</state></lhs><rhs><state>23</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>19</state></lhs><rhs><state>34</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>22</state></lhs><rhs><state>42</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>29</state></lhs><rhs><state>28</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>31</state></lhs><rhs><state>30</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>32</state></lhs><rhs><state>31</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>35</state></lhs><rhs><state>34</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>37</state></lhs><rhs><state>36</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>39</state></lhs><rhs><state>38</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>40</state></lhs><rhs><state>39</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>38</state></lhs><rhs><state>50</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>45</state></lhs><rhs><state>44</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>47</state></lhs><rhs><state>46</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>48</state></lhs><rhs><state>47</state></rhs></transition></transitions></treeAutomaton></bounds><trs><rules><rule><lhs><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></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>b</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</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><complexityProof><rIsEmpty/></complexityProof></relativeBounds></complexityProof></proof><origin><proofOrigin><tool><name>TcT</name><version/></tool></proofOrigin></origin></certificationProblem>