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


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YES
<?xml version="1.0"?>
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<certificationProblem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="cpf.xsd">
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 <proof>
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        <rules>
         <rule>
          <lhs>
           <funapp>
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             <sum>
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             <funapp>
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              <arg>
               <funapp>
                <name>c</name>
                <arg>
                 <funapp>
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                    <arg>
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                      <arg>
                       <funapp>
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                        <arg>
                         <funapp>
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                <arg>
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                    <funapp>
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                   <sum>
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                      <polynomial>
                       <variable>1</variable>
                      </polynomial>
                     </product>
                    </polynomial>
                    <polynomial>
                     <product>
                      <polynomial>
                       <coefficient>
                        <matrix>
                         <vector>
                          <coefficient>
                          <integer>1</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>2</variable>
                      </polynomial>
                     </product>
                    </polynomial>
                    <polynomial>
                     <coefficient>
                      <vector>
                       <coefficient>
                       <integer>0</integer></coefficient>
                       <coefficient>
                       <integer>1</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>1</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>53676</integer></coefficient>
                      </vector>
                     </coefficient>
                    </polynomial>
                   </sum>
                  </polynomial>
                 </interpret>
                 <interpret>
                  <name>0</name>
                  <arity>0</arity>
                  <polynomial>
                   <sum>
                    <polynomial>
                     <coefficient>
                      <vector>
                       <coefficient>
                       <integer>1</integer></coefficient>
                       <coefficient>
                       <integer>17888</integer></coefficient>
                      </vector>
                     </coefficient>
                    </polynomial>
                   </sum>
                  </polynomial>
                 </interpret>
                 <interpret>
                  <sharp>
                  <name>c</name></sharp>
                  <arity>1</arity>
                  <polynomial>
                   <sum>
                    <polynomial>
                     <product>
                      <polynomial>
                       <coefficient>
                        <matrix>
                         <vector>
                          <coefficient>
                          <integer>1</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>0</integer></coefficient>
                       <coefficient>
                       <integer>0</integer></coefficient>
                      </vector>
                     </coefficient>
                    </polynomial>
                   </sum>
                  </polynomial>
                 </interpret>
                 <interpret>
                  <sharp>
                  <name>a</name></sharp>
                  <arity>2</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>b</name></sharp>
                  <arity>2</arity>
                  <polynomial>
                   <sum>
                    <polynomial>
                     <coefficient>
                      <vector>
                       <coefficient>
                       <integer>0</integer></coefficient>
                       <coefficient>
                       <integer>0</integer></coefficient>
                      </vector>
                     </coefficient>
                    </polynomial>
                   </sum>
                  </polynomial>
                 </interpret>
                </interpretation>
               </redPair>
              </orderingConstraintProof>
              <dps>
               <rules>
               </rules>
              </dps>
              <usableRules>
               <rules>
                <rule>
                 <lhs>
                  <funapp>
                   <name>b</name>
                   <arg>
                    <funapp>
                     <name>b</name>
                     <arg>
                      <funapp>
                       <name>0</name>
                      </funapp>
                     </arg>
                     <arg>
                      <var>y</var>
                     </arg>
                    </funapp>
                   </arg>
                   <arg>
                    <var>x</var>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <var>y</var>
                 </rhs>
                </rule>
                <rule>
                 <lhs>
                  <funapp>
                   <name>a</name>
                   <arg>
                    <var>y</var>
                   </arg>
                   <arg>
                    <funapp>
                     <name>0</name>
                    </funapp>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <funapp>
                   <name>b</name>
                   <arg>
                    <var>y</var>
                   </arg>
                   <arg>
                    <funapp>
                     <name>0</name>
                    </funapp>
                   </arg>
                  </funapp>
                 </rhs>
                </rule>
                <rule>
                 <lhs>
                  <funapp>
                   <name>c</name>
                   <arg>
                    <funapp>
                     <name>c</name>
                     <arg>
                      <funapp>
                       <name>c</name>
                       <arg>
                        <var>y</var>
                       </arg>
                      </funapp>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <funapp>
                   <name>c</name>
                   <arg>
                    <funapp>
                     <name>c</name>
                     <arg>
                      <funapp>
                       <name>a</name>
                       <arg>
                        <funapp>
                         <name>a</name>
                         <arg>
                          <funapp>
                           <name>c</name>
                           <arg>
                            <funapp>
                             <name>b</name>
                             <arg>
                              <funapp>
                               <name>0</name>
                              </funapp>
                             </arg>
                             <arg>
                              <var>y</var>
                             </arg>
                            </funapp>
                           </arg>
                          </funapp>
                         </arg>
                         <arg>
                          <funapp>
                           <name>0</name>
                          </funapp>
                         </arg>
                        </funapp>
                       </arg>
                       <arg>
                        <funapp>
                         <name>0</name>
                        </funapp>
                       </arg>
                      </funapp>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </rhs>
                </rule>
               </rules>
              </usableRules>
              <dpProof>
               <depGraphProc>
               </depGraphProc>
              </dpProof>
             </redPairUrProc>
            </dpProof>
           </component>
          </depGraphProc>
         </dpProof>
        </redPairUrProc>
       </dpProof>
      </component>
      <component>
       <dps>
        <rules>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>c</name></sharp>
            <arg>
             <funapp>
              <name>c</name>
              <arg>
               <funapp>
                <name>c</name>
                <arg>
                 <var>y</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>a</name></sharp>
            <arg>
             <funapp>
              <name>a</name>
              <arg>
               <funapp>
                <name>c</name>
                <arg>
                 <funapp>
                  <name>b</name>
                  <arg>
                   <funapp>
                    <name>0</name>
                   </funapp>
                  </arg>
                  <arg>
                   <var>y</var>
                  </arg>
                 </funapp>
                </arg>
               </funapp>
              </arg>
              <arg>
               <funapp>
                <name>0</name>
               </funapp>
              </arg>
             </funapp>
            </arg>
            <arg>
             <funapp>
              <name>0</name>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
        </rules>
       </dps>
       <realScc>false</realScc>
      </component>
      <component>
       <dps>
        <rules>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>c</name></sharp>
            <arg>
             <funapp>
              <name>c</name>
              <arg>
               <funapp>
                <name>c</name>
                <arg>
                 <var>y</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>a</name></sharp>
            <arg>
             <funapp>
              <name>c</name>
              <arg>
               <funapp>
                <name>b</name>
                <arg>
                 <funapp>
                  <name>0</name>
                 </funapp>
                </arg>
                <arg>
                 <var>y</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </arg>
            <arg>
             <funapp>
              <name>0</name>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
        </rules>
       </dps>
       <realScc>false</realScc>
      </component>
      <component>
       <dps>
        <rules>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>a</name></sharp>
            <arg>
             <var>y</var>
            </arg>
            <arg>
             <funapp>
              <name>0</name>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>b</name></sharp>
            <arg>
             <var>y</var>
            </arg>
            <arg>
             <funapp>
              <name>0</name>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
        </rules>
       </dps>
       <realScc>false</realScc>
      </component>
      <component>
       <dps>
        <rules>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>c</name></sharp>
            <arg>
             <funapp>
              <name>c</name>
              <arg>
               <funapp>
                <name>c</name>
                <arg>
                 <var>y</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>c</name></sharp>
            <arg>
             <funapp>
              <name>b</name>
              <arg>
               <funapp>
                <name>0</name>
               </funapp>
              </arg>
              <arg>
               <var>y</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
        </rules>
       </dps>
       <realScc>false</realScc>
      </component>
      <component>
       <dps>
        <rules>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>c</name></sharp>
            <arg>
             <funapp>
              <name>c</name>
              <arg>
               <funapp>
                <name>c</name>
                <arg>
                 <var>y</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>b</name></sharp>
            <arg>
             <funapp>
              <name>0</name>
             </funapp>
            </arg>
            <arg>
             <var>y</var>
            </arg>
           </funapp>
          </rhs>
         </rule>
        </rules>
       </dps>
       <realScc>false</realScc>
      </component>
     </depGraphProc>
    </dpProof>
   </dpTrans>
  </trsTerminationProof>
 </proof>
 <origin>
  <proofOrigin>
   <tool>
    <name>NaTT</name>
    <version>certifiable-1.6</version>
   </tool>
  </proofOrigin>
 </origin>
</certificationProblem>