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


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


YES
<?xml version="1.0"?>
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            <dpProof>
             <redPairUrProc>
              <orderingConstraintProof>
               <redPair>
                <maxPoly>
                 <interpret>
                  <name>s</name>
                  <arity>1</arity>
                  <sum>
                   <variable>1</variable>
                   <constant>1</constant>
                  </sum>
                 </interpret>
                 <interpret>
                  <sharp>
                  <name>plus</name></sharp>
                  <arity>2</arity>
                  <sum>
                   <variable>1</variable>
                   <variable>2</variable>
                   <constant>0</constant>
                  </sum>
                 </interpret>
                 <interpret>
                  <name>plus</name>
                  <arity>2</arity>
                  <sum>
                   <variable>2</variable>
                   <constant>23676</constant>
                  </sum>
                 </interpret>
                </maxPoly>
               </redPair>
              </orderingConstraintProof>
              <dps>
               <rules>
               </rules>
              </dps>
              <usableRules>
               <rules>
                <rule>
                 <lhs>
                  <funapp>
                   <name>plus</name>
                   <arg>
                    <funapp>
                     <name>s</name>
                     <arg>
                      <var>X</var>
                     </arg>
                    </funapp>
                   </arg>
                   <arg>
                    <funapp>
                     <name>plus</name>
                     <arg>
                      <var>Y</var>
                     </arg>
                     <arg>
                      <var>Z</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <funapp>
                   <name>plus</name>
                   <arg>
                    <var>X</var>
                   </arg>
                   <arg>
                    <funapp>
                     <name>plus</name>
                     <arg>
                      <funapp>
                       <name>s</name>
                       <arg>
                        <funapp>
                         <name>s</name>
                         <arg>
                          <var>Y</var>
                         </arg>
                        </funapp>
                       </arg>
                      </funapp>
                     </arg>
                     <arg>
                      <var>Z</var>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </rhs>
                </rule>
                <rule>
                 <lhs>
                  <funapp>
                   <name>plus</name>
                   <arg>
                    <funapp>
                     <name>s</name>
                     <arg>
                      <var>X1</var>
                     </arg>
                    </funapp>
                   </arg>
                   <arg>
                    <funapp>
                     <name>plus</name>
                     <arg>
                      <var>X2</var>
                     </arg>
                     <arg>
                      <funapp>
                       <name>plus</name>
                       <arg>
                        <var>X3</var>
                       </arg>
                       <arg>
                        <var>X4</var>
                       </arg>
                      </funapp>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </lhs>
                 <rhs>
                  <funapp>
                   <name>plus</name>
                   <arg>
                    <var>X1</var>
                   </arg>
                   <arg>
                    <funapp>
                     <name>plus</name>
                     <arg>
                      <var>X3</var>
                     </arg>
                     <arg>
                      <funapp>
                       <name>plus</name>
                       <arg>
                        <var>X2</var>
                       </arg>
                       <arg>
                        <var>X4</var>
                       </arg>
                      </funapp>
                     </arg>
                    </funapp>
                   </arg>
                  </funapp>
                 </rhs>
                </rule>
               </rules>
              </usableRules>
              <dpProof>
               <depGraphProc>
               </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>