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


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<certificationProblem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" 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><rhs><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>5</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>2</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></lhs><rhs><funapp><name>2</name><arg><funapp><name>5</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>5</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>5</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>4</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><strategy><innermost/></strategy><relativeRules><rules/></relativeRules></trsInput><derivationalComplexity><signature><symbol><name>0</name><arity>1</arity></symbol><symbol><name>1</name><arity>1</arity></symbol><symbol><name>2</name><arity>1</arity></symbol><symbol><name>3</name><arity>1</arity></symbol><symbol><name>4</name><arity>1</arity></symbol><symbol><name>5</name><arity>1</arity></symbol></signature></derivationalComplexity><polynomial>1</polynomial></complexityInput></input><cpfVersion>2.2</cpfVersion><proof><complexityProof><removeNonApplicableRules><trs><rules><rule><lhs><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>4</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>4</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>5</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></lhs><rhs><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>1</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>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>2</name><arg><funapp><name>5</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>5</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>5</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>2</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>3</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>5</name><arg><funapp><name>3</name><arg><funapp><name>5</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>3</name><arg><funapp><name>5</name><arg><funapp><name>0</name><arg><funapp><name>5</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>4</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>1</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></lhs><rhs><funapp><name>3</name><arg><funapp><name>0</name><arg><funapp><name>5</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>3</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>1</name><arg><funapp><name>0</name><arg><funapp><name>5</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></lhs><rhs><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>0</name><arg><funapp><name>2</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></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>5</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>3</name><arg><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>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>5</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>0</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>2</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>5</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name><arg><funapp><name>3</name><arg><funapp><name>5</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>4</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>5</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>3</name><arg><var>x1</var></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>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>4</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>1</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></lhs><rhs><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>5</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>3</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>1</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><complexityProof><relativeBounds><bounds><type><match/></type><bound>2</bound><finalStates><state>1</state><state>2</state><state>3</state><state>4</state><state>5</state><state>6</state></finalStates><treeAutomaton><finalStates><state>1</state><state>2</state><state>3</state><state>4</state><state>5</state><state>6</state><state>80</state><state>12</state><state>13</state><state>231</state><state>15</state><state>16</state><state>20</state><state>21</state><state>22</state><state>225</state><state>23</state><state>24</state><state>25</state><state>26</state><state>71</state><state>32</state><state>7</state><state>33</state><state>34</state><state>35</state><state>40</state><state>41</state><state>155</state><state>46</state><state>48</state><state>49</state><state>50</state><state>51</state><state>141</state><state>54</state><state>56</state><state>57</state><state>59</state><state>60</state><state>62</state><state>63</state><state>66</state><state>72</state><state>73</state><state>88</state><state>114</state><state>79</state><state>83</state><state>84</state><state>85</state><state>86</state><state>87</state><state>93</state><state>94</state><state>95</state><state>96</state><state>101</state><state>103</state><state>104</state><state>81</state><state>109</state><state>112</state><state>113</state><state>115</state><state>129</state><state>130</state><state>121</state><state>136</state><state>143</state><state>144</state><state>146</state><state>147</state><state>149</state><state>150</state><state>151</state><state>156</state><state>157</state><state>211</state><state>163</state><state>168</state><state>169</state><state>170</state><state>180</state><state>181</state><state>185</state><state>186</state><state>189</state><state>190</state><state>192</state><state>201</state><state>202</state><state>212</state><state>213</state><state>219</state><state>220</state><state>229</state><state>230</state><state>176</state><state>177</state><state>232</state><state>233</state><state>234</state><state>235</state><state>242</state><state>243</state><state>247</state><state>248</state><state>250</state><state>251</state><state>255</state><state>260</state><state>261</state><state>265</state><state>266</state><state>278</state><state>279</state><state>8</state><state>9</state><state>10</state><state>11</state><state>135</state><state>27</state><state>37</state><state>38</state><state>39</state><state>108</state><state>47</state><state>55</state><state>64</state><state>65</state><state>74</state><state>75</state><state>76</state><state>77</state><state>82</state><state>92</state><state>116</state><state>123</state><state>124</state><state>125</state><state>196</state><state>127</state><state>131</state><state>132</state><state>133</state><state>134</state><state>137</state><state>138</state><state>140</state><state>152</state><state>153</state><state>188</state><state>191</state><state>193</state><state>194</state><state>195</state><state>197</state><state>205</state><state>206</state><state>207</state><state>208</state><state>216</state><state>217</state><state>221</state><state>222</state><state>223</state><state>237</state><state>238</state><state>239</state><state>241</state><state>245</state><state>246</state><state>252</state><state>253</state><state>259</state><state>264</state><state>267</state><state>268</state><state>269</state><state>270</state><state>271</state><state>272</state><state>18</state><state>19</state><state>36</state><state>45</state><state>52</state><state>53</state><state>58</state><state>67</state><state>68</state><state>224</state><state>97</state><state>98</state><state>99</state><state>110</state><state>111</state><state>122</state><state>128</state><state>142</state><state>154</state><state>160</state><state>161</state><state>165</state><state>166</state><state>167</state><state>204</state><state>187</state><state>199</state><state>200</state><state>203</state><state>210</state><state>218</state><state>240</state><state>173</state><state>174</state><state>175</state><state>236</state><state>244</state><state>275</state><state>276</state><state>277</state><state>14</state><state>17</state><state>31</state><state>42</state><state>43</state><state>44</state><state>120</state><state>61</state><state>69</state><state>89</state><state>90</state><state>100</state><state>105</state><state>106</state><state>107</state><state>118</state><state>119</state><state>158</state><state>164</state><state>182</state><state>198</state><state>214</state><state>215</state><state>171</state><state>172</state><state>178</state><state>179</state><state>249</state><state>256</state><state>257</state><state>262</state><state>273</state><state>274</state><state>280</state><state>281</state><state>28</state><state>29</state><state>78</state><state>148</state><state>139</state><state>102</state><state>117</state><state>126</state><state>145</state><state>159</state><state>209</state><state>226</state><state>227</state><state>228</state><state>263</state><state>254</state><state>30</state><state>70</state><state>91</state><state>162</state><state>183</state><state>184</state><state>258</state></finalStates><transitions><transition><lhs><name>0</name><height>0</height><state>1</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>0</name><height>0</height><state>2</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>0</name><height>0</height><state>3</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>0</name><height>0</height><state>4</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>0</name><height>0</height><state>5</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>0</name><height>0</height><state>6</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>1</state></lhs><rhs><state>80</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>2</state></lhs><rhs><state>80</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>3</state></lhs><rhs><state>80</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>4</state></lhs><rhs><state>80</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>5</state></lhs><rhs><state>80</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>6</state></lhs><rhs><state>80</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>13</state></lhs><rhs><state>12</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>15</state></lhs><rhs><state>231</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>16</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>16</state></lhs><rhs><state>80</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>21</state></lhs><rhs><state>20</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>22</state></lhs><rhs><state>21</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>23</state></lhs><rhs><state>225</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>24</state></lhs><rhs><state>80</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>26</state></lhs><rhs><state>25</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>32</state></lhs><rhs><state>71</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>33</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>0</name><height>1</height><state>35</state></lhs><rh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