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


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


MAYBE
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      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U52</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U53</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U32</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U33</name></sharp>
         <arg>
          <funapp>
           <name>isQid</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U41</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U73</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U21</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U21</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U22</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U54</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U55</name></sharp>
         <arg>
          <funapp>
           <name>isNeList</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U43</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U44</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U12</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U13</name></sharp>
         <arg>
          <funapp>
           <name>isNeList</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U51</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U52</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U11</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U12</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U12</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isNeList</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U43</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U72</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPal</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U55</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U56</name></sharp>
         <arg>
          <funapp>
           <name>isList</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U54</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isNeList</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U81</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U44</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U45</name></sharp>
         <arg>
          <funapp>
           <name>isList</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U42</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U43</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>__</name></sharp>
         <arg>
          <funapp>
           <name>__</name>
           <arg>
            <var>X</var>
           </arg>
           <arg>
            <var>Y</var>
           </arg>
          </funapp>
         </arg>
         <arg>
          <var>Z</var>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>__</name></sharp>
         <arg>
          <var>X</var>
         </arg>
         <arg>
          <funapp>
           <name>__</name>
           <arg>
            <var>Y</var>
           </arg>
           <arg>
            <var>Z</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U45</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isNeList</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U61</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U62</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isPal</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U81</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isList</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U21</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isNePal</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U71</name></sharp>
         <arg>
          <funapp>
           <name>isQid</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U72</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U73</name></sharp>
         <arg>
          <funapp>
           <name>isPal</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U23</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U22</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U23</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U24</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U73</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U74</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U22</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U23</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isNePal</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isQid</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isNeList</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U51</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U42</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isPal</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U55</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isList</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U52</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U61</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isNeList</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U41</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U25</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U26</name></sharp>
         <arg>
          <funapp>
           <name>isList</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isNePal</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U61</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U45</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U46</name></sharp>
         <arg>
          <funapp>
           <name>isNeList</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isList</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U82</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isNePal</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U71</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U72</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U11</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U81</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U82</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U24</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isList</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U41</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U42</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U53</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U31</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U71</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U53</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U54</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U44</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isList</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isList</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U11</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isNeList</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U91</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U82</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U83</name></sharp>
         <arg>
          <funapp>
           <name>isNePal</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U25</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isList</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>__</name></sharp>
         <arg>
          <funapp>
           <name>__</name>
           <arg>
            <var>X</var>
           </arg>
           <arg>
            <var>Y</var>
           </arg>
          </funapp>
         </arg>
         <arg>
          <var>Z</var>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>__</name></sharp>
         <arg>
          <var>Y</var>
         </arg>
         <arg>
          <var>Z</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U32</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isQid</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U31</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U32</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U91</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U62</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U63</name></sharp>
         <arg>
          <funapp>
           <name>isQid</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isNeList</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U31</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U51</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isNePal</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U91</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>U92</name></sharp>
         <arg>
          <funapp>
           <name>isPalListKind</name>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>U62</name></sharp>
         <arg>
          <funapp>
           <name>tt</name>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isQid</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isNeList</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>isList</name></sharp>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>isPalListKind</name></sharp>
        </funapp>
       </rhs>
      </rule>
     </rules>
    </dps>
    <markedSymbols>true</markedSymbols>
    <dpProof>
     <depGraphProc>
      <component>
       <dps>
        <rules>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>__</name></sharp>
            <arg>
             <funapp>
              <name>__</name>
              <arg>
               <var>X</var>
              </arg>
              <arg>
               <var>Y</var>
              </arg>
             </funapp>
            </arg>
            <arg>
             <var>Z</var>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>__</name></sharp>
            <arg>
             <var>Y</var>
            </arg>
            <arg>
             <var>Z</var>
            </arg>
           </funapp>
          </rhs>
         </rule>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>__</name></sharp>
            <arg>
             <funapp>
              <name>__</name>
              <arg>
               <var>X</var>
              </arg>
              <arg>
               <var>Y</var>
              </arg>
             </funapp>
            </arg>
            <arg>
             <var>Z</var>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>__</name></sharp>
            <arg>
             <var>X</var>
            </arg>
            <arg>
             <funapp>
              <name>__</name>
              <arg>
               <var>Y</var>
              </arg>
              <arg>
               <var>Z</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
        </rules>
       </dps>
       <realScc>true</realScc>
       <dpProof>
        <redPairUrProc>
         <orderingConstraintProof>
          <redPair>
           <maxPoly>
            <interpret>
             <sharp>
             <name>U72</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U32</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U21</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U83</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>isPalListKind</name></sharp>
             <arity>0</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U11</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U24</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U24</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U25</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>isNeList</name>
             <arity>0</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U56</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>isPal</name>
             <arity>0</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U42</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U91</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U26</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U82</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U71</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U81</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U92</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>isNeList</name></sharp>
             <arity>0</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U43</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U23</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U53</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>__</name></sharp>
             <arity>2</arity>
             <sum>
              <variable>1</variable>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U44</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U55</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U43</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U23</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U63</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>isNePal</name>
             <arity>0</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U72</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U13</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>isQid</name></sharp>
             <arity>0</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>isPal</name></sharp>
             <arity>0</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U52</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U12</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U33</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>isQid</name>
             <arity>0</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U26</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U54</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U44</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U54</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U42</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U12</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U62</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U83</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>isList</name>
             <arity>0</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U73</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U74</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>isNePal</name></sharp>
             <arity>0</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U73</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>nil</name>
             <arity>0</arity>
             <sum>
              <constant>1</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U25</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U62</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U63</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U45</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>isList</name></sharp>
             <arity>0</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U32</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U33</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U46</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U56</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U46</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U52</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U61</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U51</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U11</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U31</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U92</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U41</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U21</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U81</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U82</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U22</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>tt</name>
             <arity>0</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U71</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U13</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U22</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U45</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U51</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U74</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>isPalListKind</name>
             <arity>0</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U53</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>U41</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U31</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <name>__</name>
             <arity>2</arity>
             <sum>
              <variable>1</variable>
              <variable>2</variable>
              <constant>1</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U91</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U55</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
            <interpret>
             <sharp>
             <name>U61</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
             </sum>
            </interpret>
           </maxPoly>
          </redPair>
         </orderingConstraintProof>
         <dps>
          <rules>
          </rules>
         </dps>
         <usableRules>
          <rules>
          </rules>
         </usableRules>
         <dpProof>
          <depGraphProc>
          </depGraphProc>
         </dpProof>
        </redPairUrProc>
       </dpProof>
      </component>
      <component>
       <dps>
        <rules>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>isNePal</name></sharp>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>U71</name></sharp>
            <arg>
             <funapp>
              <name>isQid</name>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>isPal</name></sharp>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>U81</name></sharp>
            <arg>
             <funapp>
              <name>isPalListKind</name>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>U72</name></sharp>
            <arg>
             <funapp>
              <name>tt</name>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>isPal</name></sharp>
           </funapp>
          </rhs>
         </rule>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>U81</name></sharp>
            <arg>
             <funapp>
              <name>tt</name>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>U82</name></sharp>
            <arg>
             <funapp>
              <name>isPalListKind</name>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>U82</name></sharp>
            <arg>
             <funapp>
              <name>tt</name>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>isNePal</name></sharp>
           </funapp>
          </rhs>
         </rule>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>U71</name></sharp>
            <arg>
             <funapp>
              <name>tt</name>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>U72</name></sharp>
            <arg>
             <funapp>
              <name>isPalListKind</name>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
        </rules>
       </dps>
       <realScc>true</realScc>
       <dpProof>
        <unknownProof>
         <description>Failed!
         </description>
        </unknownProof>
       </dpProof>
      </component>
     </depGraphProc>
    </dpProof>
   </dpTrans>
  </trsTerminationProof>
 </proof>
 <origin>
  <proofOrigin>
   <tool>
    <name>NaTT</name>
    <version>certifiable-1.6</version>
   </tool>
  </proofOrigin>
 </origin>
</certificationProblem>