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


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


MAYBE
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            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t1</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>t2</name></sharp>
         <arg>
          <funapp>
           <name>q0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t1</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>q0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>b0</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>t1</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>b1</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>t2</name></sharp>
         <arg>
          <funapp>
           <name>b1</name>
           <arg>
            <funapp>
             <name>$</name>
             <arg>
              <var>x1</var>
             </arg>
            </funapp>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t1</name></sharp>
         <arg>
          <funapp>
           <name>$</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>t1</name></sharp>
         <arg>
          <funapp>
           <name>q2</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t1</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>t1</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>b1</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>t0</name></sharp>
         <arg>
          <funapp>
           <name>q2</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t2</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>q0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>b0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>t0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>b0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>t0</name></sharp>
         <arg>
          <funapp>
           <name>q0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t0</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>t2</name></sharp>
         <arg>
          <funapp>
           <name>q2</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t0</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>b1</name></sharp>
         <arg>
          <funapp>
           <name>t2</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>b1</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>b1</name></sharp>
         <arg>
          <funapp>
           <name>t2</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t2</name></sharp>
         <arg>
          <funapp>
           <name>b1</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>b1</name></sharp>
         <arg>
          <funapp>
           <name>t0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>b1</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>t0</name></sharp>
         <arg>
          <funapp>
           <name>q1</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t1</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>q2</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t1</name></sharp>
         <arg>
          <funapp>
           <name>b0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>t0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>b0</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>q2</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>t1</name>
           <arg>
            <funapp>
             <name>b0</name>
             <arg>
              <var>x1</var>
             </arg>
            </funapp>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>t2</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>t1</name>
           <arg>
            <funapp>
             <name>b0</name>
             <arg>
              <var>x1</var>
             </arg>
            </funapp>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>t1</name></sharp>
         <arg>
          <funapp>
           <name>q4</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t0</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>b1</name></sharp>
         <arg>
          <funapp>
           <name>t1</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t2</name></sharp>
         <arg>
          <funapp>
           <name>b0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>t1</name></sharp>
         <arg>
          <funapp>
           <name>q3</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t2</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>t2</name></sharp>
         <arg>
          <funapp>
           <name>q3</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t1</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>t2</name></sharp>
         <arg>
          <funapp>
           <name>q1</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t2</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>b0</name></sharp>
         <arg>
          <funapp>
           <name>t1</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>b1</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>b1</name></sharp>
         <arg>
          <funapp>
           <name>t0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t1</name></sharp>
         <arg>
          <funapp>
           <name>b1</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>b0</name></sharp>
         <arg>
          <funapp>
           <name>t0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t0</name></sharp>
         <arg>
          <funapp>
           <name>b0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>b0</name></sharp>
         <arg>
          <funapp>
           <name>t2</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>b0</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>q1</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>b1</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>t2</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>b0</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>q4</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t2</name></sharp>
         <arg>
          <funapp>
           <name>b0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>q2</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>b0</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>t2</name></sharp>
         <arg>
          <funapp>
           <name>q4</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t2</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>t2</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t1</name></sharp>
         <arg>
          <funapp>
           <name>b0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>t1</name></sharp>
         <arg>
          <funapp>
           <name>q1</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t0</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>b0</name></sharp>
         <arg>
          <funapp>
           <name>t2</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t1</name></sharp>
         <arg>
          <funapp>
           <name>b0</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>q4</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>t2</name>
           <arg>
            <funapp>
             <name>b0</name>
             <arg>
              <var>x1</var>
             </arg>
            </funapp>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>q3</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>b1</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>q3</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>t1</name>
           <arg>
            <funapp>
             <name>b1</name>
             <arg>
              <var>x1</var>
             </arg>
            </funapp>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>b1</name></sharp>
         <arg>
          <funapp>
           <name>t1</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>b0</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>t0</name></sharp>
         <arg>
          <funapp>
           <name>q3</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t0</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>b0</name></sharp>
         <arg>
          <funapp>
           <name>t1</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>t0</name></sharp>
         <arg>
          <funapp>
           <name>b1</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>&amp;</name></sharp>
         <arg>
          <funapp>
           <name>q4</name>
           <arg>
            <var>x1</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>b0</name></sharp>
         <arg>
          <var>x1</var>
         </arg>
        </funapp>
       </rhs>
      </rule>
     </rules>
    </dps>
    <markedSymbols>true</markedSymbols>
    <dpProof>
     <depGraphProc>
      <component>
       <dps>
        <rules>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>&amp;</name></sharp>
            <arg>
             <funapp>
              <name>t2</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>&amp;</name></sharp>
            <arg>
             <funapp>
              <name>t1</name>
              <arg>
               <funapp>
                <name>b0</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>&amp;</name></sharp>
            <arg>
             <funapp>
              <name>q2</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>&amp;</name></sharp>
            <arg>
             <funapp>
              <name>t1</name>
              <arg>
               <funapp>
                <name>b0</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>&amp;</name></sharp>
            <arg>
             <funapp>
              <name>q3</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>&amp;</name></sharp>
            <arg>
             <funapp>
              <name>t1</name>
              <arg>
               <funapp>
                <name>b1</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>&amp;</name></sharp>
            <arg>
             <funapp>
              <name>q4</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>&amp;</name></sharp>
            <arg>
             <funapp>
              <name>t2</name>
              <arg>
               <funapp>
                <name>b0</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>&amp;</name></sharp>
            <arg>
             <funapp>
              <name>t0</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>&amp;</name></sharp>
            <arg>
             <funapp>
              <name>b0</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>&amp;</name></sharp>
            <arg>
             <funapp>
              <name>q0</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>&amp;</name></sharp>
            <arg>
             <funapp>
              <name>b0</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>&amp;</name></sharp>
            <arg>
             <funapp>
              <name>q1</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>&amp;</name></sharp>
            <arg>
             <funapp>
              <name>b1</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>&amp;</name></sharp>
            <arg>
             <funapp>
              <name>t1</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>&amp;</name></sharp>
            <arg>
             <funapp>
              <name>b1</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
        </rules>
       </dps>
       <realScc>true</realScc>
       <dpProof>
        <redPairUrProc>
         <orderingConstraintProof>
          <redPair>
           <interpretation>
            <type>
             <matrixInterpretation>
              <domain><naturals/>
              </domain>
              <dimension>2
              </dimension>
              <strictDimension>1
              </strictDimension>
             </matrixInterpretation>
            </type>
            <interpret>
             <name>t0</name>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <product>
                 <polynomial>
                  <coefficient>
                   <matrix>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>0</integer></coefficient>
                    </vector>
                    <vector>
                     <coefficient>
                     <integer>1</integer></coefficient>
                     <coefficient>
                     <integer>1</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
                 </polynomial>
                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>46753</integer></coefficient>
                  <coefficient>
                  <integer>17464</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <name>q3</name>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <product>
                 <polynomial>
                  <coefficient>
                   <matrix>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>0</integer></coefficient>
                    </vector>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>1</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
                 </polynomial>
                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>1</integer></coefficient>
                  <coefficient>
                  <integer>1</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <name>&amp;</name>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>0</integer></coefficient>
                  <coefficient>
                  <integer>0</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <name>q4</name>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <product>
                 <polynomial>
                  <coefficient>
                   <matrix>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>0</integer></coefficient>
                    </vector>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>1</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
                 </polynomial>
                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>1</integer></coefficient>
                  <coefficient>
                  <integer>1</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <sharp>
             <name>&amp;</name></sharp>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <product>
                 <polynomial>
                  <coefficient>
                   <matrix>
                    <vector>
                     <coefficient>
                     <integer>1</integer></coefficient>
                     <coefficient>
                     <integer>0</integer></coefficient>
                    </vector>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>0</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
                 </polynomial>
                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>0</integer></coefficient>
                  <coefficient>
                  <integer>0</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <sharp>
             <name>b1</name></sharp>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>0</integer></coefficient>
                  <coefficient>
                  <integer>0</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <name>t1</name>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <product>
                 <polynomial>
                  <coefficient>
                   <matrix>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>0</integer></coefficient>
                    </vector>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>1</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
                 </polynomial>
                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>1</integer></coefficient>
                  <coefficient>
                  <integer>17464</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <name>b0</name>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <product>
                 <polynomial>
                  <coefficient>
                   <matrix>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>0</integer></coefficient>
                    </vector>
                    <vector>
                     <coefficient>
                     <integer>1</integer></coefficient>
                     <coefficient>
                     <integer>1</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
                 </polynomial>
                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>29290</integer></coefficient>
                  <coefficient>
                  <integer>1</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <sharp>
             <name>t2</name></sharp>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>0</integer></coefficient>
                  <coefficient>
                  <integer>0</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <sharp>
             <name>b0</name></sharp>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>0</integer></coefficient>
                  <coefficient>
                  <integer>0</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <name>q1</name>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <product>
                 <polynomial>
                  <coefficient>
                   <matrix>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>0</integer></coefficient>
                    </vector>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>1</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
                 </polynomial>
                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>1</integer></coefficient>
                  <coefficient>
                  <integer>1</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <name>t2</name>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <product>
                 <polynomial>
                  <coefficient>
                   <matrix>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>0</integer></coefficient>
                    </vector>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>1</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
                 </polynomial>
                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>1</integer></coefficient>
                  <coefficient>
                  <integer>17464</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <name>q2</name>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <product>
                 <polynomial>
                  <coefficient>
                   <matrix>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>0</integer></coefficient>
                    </vector>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>1</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
                 </polynomial>
                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>1</integer></coefficient>
                  <coefficient>
                  <integer>1</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <name>b1</name>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <product>
                 <polynomial>
                  <coefficient>
                   <matrix>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>0</integer></coefficient>
                    </vector>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>1</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
                 </polynomial>
                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>1</integer></coefficient>
                  <coefficient>
                  <integer>1</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <name>$</name>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <product>
                 <polynomial>
                  <coefficient>
                   <matrix>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>1</integer></coefficient>
                    </vector>
                    <vector>
                     <coefficient>
                     <integer>1</integer></coefficient>
                     <coefficient>
                     <integer>1</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
                 </polynomial>
                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>1</integer></coefficient>
                  <coefficient>
                  <integer>1</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <sharp>
             <name>t1</name></sharp>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>0</integer></coefficient>
                  <coefficient>
                  <integer>0</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <sharp>
             <name>t0</name></sharp>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>0</integer></coefficient>
                  <coefficient>
                  <integer>0</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <name>q0</name>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <product>
                 <polynomial>
                  <coefficient>
                   <matrix>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>0</integer></coefficient>
                    </vector>
                    <vector>
                     <coefficient>
                     <integer>1</integer></coefficient>
                     <coefficient>
                     <integer>1</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
                 </polynomial>
                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>29290</integer></coefficient>
                  <coefficient>
                  <integer>1</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
           </interpretation>
          </redPair>
         </orderingConstraintProof>
         <dps>
          <rules>
           <rule>
            <lhs>
             <funapp>
              <sharp>
              <name>&amp;</name></sharp>
              <arg>
               <funapp>
                <name>t1</name>
                <arg>
                 <var>x1</var>
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                </funapp>
               </rhs>
              </rule>
              <rule>
               <lhs>
                <funapp>
                 <sharp>
                 <name>&amp;</name></sharp>
                 <arg>
                  <funapp>
                   <name>q4</name>
                   <arg>
                    <var>x1</var>
                   </arg>
                  </funapp>
                 </arg>
                </funapp>
               </lhs>
               <rhs>
                <funapp>
                 <sharp>
                 <name>&amp;</name></sharp>
                 <arg>
                  <funapp>
                   <name>t2</name>
                   <arg>
                    <funapp>
                     <name>b0</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </arg>
                </funapp>
               </rhs>
              </rule>
              <rule>
               <lhs>
                <funapp>
                 <sharp>
                 <name>&amp;</name></sharp>
                 <arg>
                  <funapp>
                   <name>q3</name>
                   <arg>
                    <var>x1</var>
                   </arg>
                  </funapp>
                 </arg>
                </funapp>
               </lhs>
               <rhs>
                <funapp>
                 <sharp>
                 <name>&amp;</name></sharp>
                 <arg>
                  <funapp>
                   <name>t1</name>
                   <arg>
                    <funapp>
                     <name>b1</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </arg>
                </funapp>
               </rhs>
              </rule>
             </rules>
            </dps>
            <realScc>true</realScc>
            <dpProof>
             <unknownProof>
              <description>Failed!
              </description>
             </unknownProof>
            </dpProof>
           </component>
          </depGraphProc>
         </dpProof>
        </redPairUrProc>
       </dpProof>
      </component>
     </depGraphProc>
    </dpProof>
   </dpTrans>
  </trsTerminationProof>
 </proof>
 <origin>
  <proofOrigin>
   <tool>
    <name>NaTT</name>
    <version>certifiable-1.6</version>
   </tool>
  </proofOrigin>
 </origin>
</certificationProblem>