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


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MAYBE
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          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>b</name></sharp>
            <arg>
             <var>x1</var>
            </arg>
           </funapp>
          </rhs>
         </rule>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>a</name></sharp>
            <arg>
             <var>x1</var>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>e</name></sharp>
            <arg>
             <funapp>
              <name>b</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>b</name></sharp>
            <arg>
             <funapp>
              <name>d</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>b</name></sharp>
            <arg>
             <var>x1</var>
            </arg>
           </funapp>
          </rhs>
         </rule>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>b</name></sharp>
            <arg>
             <funapp>
              <name>e</name>
              <arg>
               <funapp>
                <name>b</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>d</name></sharp>
            <arg>
             <var>x1</var>
            </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>a</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>0</integer></coefficient>
                     <coefficient>
                     <integer>1</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
                 </polynomial>
                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>8518</integer></coefficient>
                  <coefficient>
                  <integer>0</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <name>d</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>0</integer></coefficient>
                  <coefficient>
                  <integer>0</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <name>b</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>0</integer></coefficient>
                  <coefficient>
                  <integer>0</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <sharp>
             <name>e</name></sharp>
             <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>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>
             <name>c</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>0</integer></coefficient>
                     <coefficient>
                     <integer>1</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
                 </polynomial>
                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>0</integer></coefficient>
                  <coefficient>
                  <integer>8518</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <sharp>
             <name>d</name></sharp>
             <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>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>c</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>e</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>0</integer></coefficient>
                  <coefficient>
                  <integer>0</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <sharp>
             <name>a</name></sharp>
             <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>0</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
                 </polynomial>
                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>1</integer></coefficient>
                  <coefficient>
                  <integer>0</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <sharp>
             <name>b</name></sharp>
             <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>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>
           </interpretation>
          </redPair>
         </orderingConstraintProof>
         <dps>
          <rules>
           <rule>
            <lhs>
             <funapp>
              <sharp>
              <name>b</name></sharp>
              <arg>
               <funapp>
                <name>e</name>
                <arg>
                 <funapp>
                  <name>b</name>
                  <arg>
                   <var>x1</var>
                  </arg>
                 </funapp>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <sharp>
              <name>d</name></sharp>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <sharp>
              <name>b</name></sharp>
              <arg>
               <funapp>
                <name>d</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <sharp>
              <name>b</name></sharp>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <sharp>
              <name>b</name></sharp>
              <arg>
               <funapp>
                <name>b</name>
                <arg>
                 <funapp>
                  <name>b</name>
                  <arg>
                   <var>x1</var>
                  </arg>
                 </funapp>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <sharp>
              <name>e</name></sharp>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <sharp>
              <name>b</name></sharp>
              <arg>
               <funapp>
                <name>d</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <sharp>
              <name>e</name></sharp>
              <arg>
               <funapp>
                <name>b</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <sharp>
              <name>b</name></sharp>
              <arg>
               <funapp>
                <name>b</name>
                <arg>
                 <funapp>
                  <name>b</name>
                  <arg>
                   <var>x1</var>
                  </arg>
                 </funapp>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <sharp>
              <name>e</name></sharp>
              <arg>
               <funapp>
                <name>e</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <sharp>
              <name>d</name></sharp>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <sharp>
              <name>b</name></sharp>
              <arg>
               <funapp>
                <name>e</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <sharp>
              <name>b</name></sharp>
              <arg>
               <funapp>
                <name>e</name>
                <arg>
                 <funapp>
                  <name>b</name>
                  <arg>
                   <var>x1</var>
                  </arg>
                 </funapp>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <sharp>
              <name>e</name></sharp>
              <arg>
               <funapp>
                <name>d</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <sharp>
              <name>e</name></sharp>
              <arg>
               <funapp>
                <name>e</name>
                <arg>
                 <funapp>
                  <name>e</name>
                  <arg>
                   <var>x1</var>
                  </arg>
                 </funapp>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <sharp>
              <name>d</name></sharp>
              <arg>
               <funapp>
                <name>e</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <sharp>
              <name>d</name></sharp>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <sharp>
              <name>e</name></sharp>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </rhs>
           </rule>
          </rules>
         </dps>
         <usableRules>
          <rules>
           <rule>
            <lhs>
             <funapp>
              <name>b</name>
              <arg>
               <funapp>
                <name>b</name>
                <arg>
                 <funapp>
                  <name>b</name>
                  <arg>
                   <var>x1</var>
                  </arg>
                 </funapp>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <name>e</name>
              <arg>
               <funapp>
                <name>e</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <name>d</name>
              <arg>
               <funapp>
                <name>c</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <name>c</name>
              <arg>
               <funapp>
                <name>d</name>
                <arg>
                 <funapp>
                  <name>a</name>
                  <arg>
                   <var>x1</var>
                  </arg>
                 </funapp>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <name>a</name>
              <arg>
               <funapp>
                <name>a</name>
                <arg>
                 <funapp>
                  <name>b</name>
                  <arg>
                   <var>x1</var>
                  </arg>
                 </funapp>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <name>c</name>
              <arg>
               <funapp>
                <name>d</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <name>b</name>
              <arg>
               <funapp>
                <name>d</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <name>e</name>
              <arg>
               <funapp>
                <name>b</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <name>e</name>
              <arg>
               <funapp>
                <name>e</name>
                <arg>
                 <funapp>
                  <name>e</name>
                  <arg>
                   <var>x1</var>
                  </arg>
                 </funapp>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <name>d</name>
              <arg>
               <funapp>
                <name>e</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <name>c</name>
              <arg>
               <funapp>
                <name>d</name>
                <arg>
                 <funapp>
                  <name>a</name>
                  <arg>
                   <var>x1</var>
                  </arg>
                 </funapp>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <name>c</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <name>a</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <name>e</name>
              <arg>
               <funapp>
                <name>b</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <name>d</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <name>b</name>
              <arg>
               <funapp>
                <name>e</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <name>b</name>
              <arg>
               <funapp>
                <name>e</name>
                <arg>
                 <funapp>
                  <name>b</name>
                  <arg>
                   <var>x1</var>
                  </arg>
                 </funapp>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <name>e</name>
              <arg>
               <funapp>
                <name>d</name>
                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </rhs>
           </rule>
          </rules>
         </usableRules>
         <dpProof>
          <depGraphProc>
           <component>
            <dps>
             <rules>
              <rule>
               <lhs>
                <funapp>
                 <sharp>
                 <name>b</name></sharp>
                 <arg>
                  <funapp>
                   <name>b</name>
                   <arg>
                    <funapp>
                     <name>b</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </arg>
                </funapp>
               </lhs>
               <rhs>
                <funapp>
                 <sharp>
                 <name>e</name></sharp>
                 <arg>
                  <var>x1</var>
                 </arg>
                </funapp>
               </rhs>
              </rule>
              <rule>
               <lhs>
                <funapp>
                 <sharp>
                 <name>b</name></sharp>
                 <arg>
                  <funapp>
                   <name>b</name>
                   <arg>
                    <funapp>
                     <name>b</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </arg>
                </funapp>
               </lhs>
               <rhs>
                <funapp>
                 <sharp>
                 <name>e</name></sharp>
                 <arg>
                  <funapp>
                   <name>e</name>
                   <arg>
                    <var>x1</var>
                   </arg>
                  </funapp>
                 </arg>
                </funapp>
               </rhs>
              </rule>
              <rule>
               <lhs>
                <funapp>
                 <sharp>
                 <name>b</name></sharp>
                 <arg>
                  <funapp>
                   <name>d</name>
                   <arg>
                    <var>x1</var>
                   </arg>
                  </funapp>
                 </arg>
                </funapp>
               </lhs>
               <rhs>
                <funapp>
                 <sharp>
                 <name>b</name></sharp>
                 <arg>
                  <var>x1</var>
                 </arg>
                </funapp>
               </rhs>
              </rule>
              <rule>
               <lhs>
                <funapp>
                 <sharp>
                 <name>b</name></sharp>
                 <arg>
                  <funapp>
                   <name>d</name>
                   <arg>
                    <var>x1</var>
                   </arg>
                  </funapp>
                 </arg>
                </funapp>
               </lhs>
               <rhs>
                <funapp>
                 <sharp>
                 <name>e</name></sharp>
                 <arg>
                  <funapp>
                   <name>b</name>
                   <arg>
                    <var>x1</var>
                   </arg>
                  </funapp>
                 </arg>
                </funapp>
               </rhs>
              </rule>
              <rule>
               <lhs>
                <funapp>
                 <sharp>
                 <name>e</name></sharp>
                 <arg>
                  <funapp>
                   <name>e</name>
                   <arg>
                    <funapp>
                     <name>e</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </arg>
                </funapp>
               </lhs>
               <rhs>
                <funapp>
                 <sharp>
                 <name>d</name></sharp>
                 <arg>
                  <funapp>
                   <name>e</name>
                   <arg>
                    <var>x1</var>
                   </arg>
                  </funapp>
                 </arg>
                </funapp>
               </rhs>
              </rule>
              <rule>
               <lhs>
                <funapp>
                 <sharp>
                 <name>d</name></sharp>
                 <arg>
                  <var>x1</var>
                 </arg>
                </funapp>
               </lhs>
               <rhs>
                <funapp>
                 <sharp>
                 <name>e</name></sharp>
                 <arg>
                  <var>x1</var>
                 </arg>
                </funapp>
               </rhs>
              </rule>
              <rule>
               <lhs>
                <funapp>
                 <sharp>
                 <name>d</name></sharp>
                 <arg>
                  <var>x1</var>
                 </arg>
                </funapp>
               </lhs>
               <rhs>
                <funapp>
                 <sharp>
                 <name>b</name></sharp>
                 <arg>
                  <funapp>
                   <name>e</name>
                   <arg>
                    <var>x1</var>
                   </arg>
                  </funapp>
                 </arg>
                </funapp>
               </rhs>
              </rule>
              <rule>
               <lhs>
                <funapp>
                 <sharp>
                 <name>b</name></sharp>
                 <arg>
                  <funapp>
                   <name>e</name>
                   <arg>
                    <funapp>
                     <name>b</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </arg>
                </funapp>
               </lhs>
               <rhs>
                <funapp>
                 <sharp>
                 <name>d</name></sharp>
                 <arg>
                  <var>x1</var>
                 </arg>
                </funapp>
               </rhs>
              </rule>
              <rule>
               <lhs>
                <funapp>
                 <sharp>
                 <name>b</name></sharp>
                 <arg>
                  <funapp>
                   <name>e</name>
                   <arg>
                    <funapp>
                     <name>b</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </arg>
                </funapp>
               </lhs>
               <rhs>
                <funapp>
                 <sharp>
                 <name>e</name></sharp>
                 <arg>
                  <funapp>
                   <name>d</name>
                   <arg>
                    <var>x1</var>
                   </arg>
                  </funapp>
                 </arg>
                </funapp>
               </rhs>
              </rule>
             </rules>
            </dps>
            <realScc>true</realScc>
            <dpProof>
             <redPairUrProc>
              <orderingConstraintProof>
               <redPair>
                <maxPoly>
                 <interpret>
                  <name>a</name>
                  <arity>1</arity>
                  <sum>
                   <variable>1</variable>
                   <constant>93646</constant>
                  </sum>
                 </interpret>
                 <interpret>
                  <name>d</name>
                  <arity>1</arity>
                  <sum>
                   <variable>1</variable>
                   <constant>93646</constant>
                  </sum>
                 </interpret>
                 <interpret>
                  <name>b</name>
                  <arity>1</arity>
                  <sum>
                   <variable>1</variable>
                   <constant>46823</constant>
                  </sum>
                 </interpret>
                 <interpret>
                  <sharp>
                  <name>e</name></sharp>
                  <arity>1</arity>
                  <sum>
                   <variable>1</variable>
                   <constant>0</constant>
                  </sum>
                 </interpret>
                 <interpret>
                  <name>c</name>
                  <arity>1</arity>
                  <sum>
                   <constant>8946</constant>
                  </sum>
                 </interpret>
                 <interpret>
                  <sharp>
                  <name>d</name></sharp>
                  <arity>1</arity>
                  <sum>
                   <variable>1</variable>
                   <constant>46823</constant>
                  </sum>
                 </interpret>
                 <interpret>
                  <sharp>
                  <name>c</name></sharp>
                  <arity>1</arity>
                  <sum>
                   <constant>0</constant>
                  </sum>
                 </interpret>
                 <interpret>
                  <name>e</name>
                  <arity>1</arity>
                  <sum>
                   <variable>1</variable>
                   <constant>46823</constant>
                  </sum>
                 </interpret>
                 <interpret>
                  <sharp>
                  <name>a</name></sharp>
                  <arity>1</arity>
                  <sum>
                   <constant>0</constant>
                  </sum>
                 </interpret>
                 <interpret>
                  <sharp>
                  <name>b</name></sharp>
                  <arity>1</arity>
                  <sum>
                   <variable>1</variable>
                   <constant>0</constant>
                  </sum>
                 </interpret>
                </maxPoly>
               </redPair>
              </orderingConstraintProof>
              <dps>
               <rules>
                <rule>
                 <lhs>
                  <funapp>
                   <sharp>
                   <name>b</name></sharp>
                   <arg>
                    <funapp>
                     <name>e</name>
                     <arg>
                      <funapp>
                       <name>b</name>
                       <arg>
                        <var>x1</var>
                       </arg>
                      </funapp>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <funapp>
                   <sharp>
                   <name>e</name></sharp>
                   <arg>
                    <funapp>
                     <name>d</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </rhs>
                </rule>
                <rule>
                 <lhs>
                  <funapp>
                   <sharp>
                   <name>d</name></sharp>
                   <arg>
                    <var>x1</var>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <funapp>
                   <sharp>
                   <name>b</name></sharp>
                   <arg>
                    <funapp>
                     <name>e</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </rhs>
                </rule>
                <rule>
                 <lhs>
                  <funapp>
                   <sharp>
                   <name>e</name></sharp>
                   <arg>
                    <funapp>
                     <name>e</name>
                     <arg>
                      <funapp>
                       <name>e</name>
                       <arg>
                        <var>x1</var>
                       </arg>
                      </funapp>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <funapp>
                   <sharp>
                   <name>d</name></sharp>
                   <arg>
                    <funapp>
                     <name>e</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </rhs>
                </rule>
               </rules>
              </dps>
              <usableRules>
               <rules>
                <rule>
                 <lhs>
                  <funapp>
                   <name>b</name>
                   <arg>
                    <funapp>
                     <name>b</name>
                     <arg>
                      <funapp>
                       <name>b</name>
                       <arg>
                        <var>x1</var>
                       </arg>
                      </funapp>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <funapp>
                   <name>e</name>
                   <arg>
                    <funapp>
                     <name>e</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </rhs>
                </rule>
                <rule>
                 <lhs>
                  <funapp>
                   <name>d</name>
                   <arg>
                    <funapp>
                     <name>c</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <funapp>
                   <name>c</name>
                   <arg>
                    <funapp>
                     <name>d</name>
                     <arg>
                      <funapp>
                       <name>a</name>
                       <arg>
                        <var>x1</var>
                       </arg>
                      </funapp>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </rhs>
                </rule>
                <rule>
                 <lhs>
                  <funapp>
                   <name>a</name>
                   <arg>
                    <funapp>
                     <name>a</name>
                     <arg>
                      <funapp>
                       <name>b</name>
                       <arg>
                        <var>x1</var>
                       </arg>
                      </funapp>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <funapp>
                   <name>c</name>
                   <arg>
                    <funapp>
                     <name>d</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </rhs>
                </rule>
                <rule>
                 <lhs>
                  <funapp>
                   <name>b</name>
                   <arg>
                    <funapp>
                     <name>d</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <funapp>
                   <name>e</name>
                   <arg>
                    <funapp>
                     <name>b</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </rhs>
                </rule>
                <rule>
                 <lhs>
                  <funapp>
                   <name>e</name>
                   <arg>
                    <funapp>
                     <name>e</name>
                     <arg>
                      <funapp>
                       <name>e</name>
                       <arg>
                        <var>x1</var>
                       </arg>
                      </funapp>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <funapp>
                   <name>d</name>
                   <arg>
                    <funapp>
                     <name>e</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </rhs>
                </rule>
                <rule>
                 <lhs>
                  <funapp>
                   <name>c</name>
                   <arg>
                    <funapp>
                     <name>d</name>
                     <arg>
                      <funapp>
                       <name>a</name>
                       <arg>
                        <var>x1</var>
                       </arg>
                      </funapp>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <funapp>
                   <name>c</name>
                   <arg>
                    <var>x1</var>
                   </arg>
                  </funapp>
                 </rhs>
                </rule>
                <rule>
                 <lhs>
                  <funapp>
                   <name>a</name>
                   <arg>
                    <var>x1</var>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <funapp>
                   <name>e</name>
                   <arg>
                    <funapp>
                     <name>b</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </rhs>
                </rule>
                <rule>
                 <lhs>
                  <funapp>
                   <name>d</name>
                   <arg>
                    <var>x1</var>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <funapp>
                   <name>b</name>
                   <arg>
                    <funapp>
                     <name>e</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </rhs>
                </rule>
                <rule>
                 <lhs>
                  <funapp>
                   <name>b</name>
                   <arg>
                    <funapp>
                     <name>e</name>
                     <arg>
                      <funapp>
                       <name>b</name>
                       <arg>
                        <var>x1</var>
                       </arg>
                      </funapp>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <funapp>
                   <name>e</name>
                   <arg>
                    <funapp>
                     <name>d</name>
                     <arg>
                      <var>x1</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </rhs>
                </rule>
               </rules>
              </usableRules>
              <dpProof>
               <depGraphProc>
                <component>
                 <dps>
                  <rules>
                   <rule>
                    <lhs>
                     <funapp>
                      <sharp>
                      <name>e</name></sharp>
                      <arg>
                       <funapp>
                        <name>e</name>
                        <arg>
                         <funapp>
                          <name>e</name>
                          <arg>
                           <var>x1</var>
                          </arg>
                         </funapp>
                        </arg>
                       </funapp>
                      </arg>
                     </funapp>
                    </lhs>
                    <rhs>
                     <funapp>
                      <sharp>
                      <name>d</name></sharp>
                      <arg>
                       <funapp>
                        <name>e</name>
                        <arg>
                         <var>x1</var>
                        </arg>
                       </funapp>
                      </arg>
                     </funapp>
                    </rhs>
                   </rule>
                   <rule>
                    <lhs>
                     <funapp>
                      <sharp>
                      <name>d</name></sharp>
                      <arg>
                       <var>x1</var>
                      </arg>
                     </funapp>
                    </lhs>
                    <rhs>
                     <funapp>
                      <sharp>
                      <name>b</name></sharp>
                      <arg>
                       <funapp>
                        <name>e</name>
                        <arg>
                         <var>x1</var>
                        </arg>
                       </funapp>
                      </arg>
                     </funapp>
                    </rhs>
                   </rule>
                   <rule>
                    <lhs>
                     <funapp>
                      <sharp>
                      <name>b</name></sharp>
                      <arg>
                       <funapp>
                        <name>e</name>
                        <arg>
                         <funapp>
                          <name>b</name>
                          <arg>
                           <var>x1</var>
                          </arg>
                         </funapp>
                        </arg>
                       </funapp>
                      </arg>
                     </funapp>
                    </lhs>
                    <rhs>
                     <funapp>
                      <sharp>
                      <name>e</name></sharp>
                      <arg>
                       <funapp>
                        <name>d</name>
                        <arg>
                         <var>x1</var>
                        </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>
        </redPairUrProc>
       </dpProof>
      </component>
     </depGraphProc>
    </dpProof>
   </dpTrans>
  </trsTerminationProof>
 </proof>
 <origin>
  <proofOrigin>
   <tool>
    <name>NaTT</name>
    <version>certifiable-1.6</version>
   </tool>
  </proofOrigin>
 </origin>
</certificationProblem>