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


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<?xml version="1.0"?>
<?xml-stylesheet type="text/xsl" href="cpfHTML.xsl"?>
<certificationProblem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="cpf.xsd">
 <input>
  <trsInput>
   <trs>
    <rules>
     <rule>
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       <funapp>
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        <arg>
         <funapp>
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            <name>a</name>
            <arg>
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          </arg>
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       <funapp>
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         <funapp>
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           <funapp>
            <name>b</name>
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        <name>b</name>
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            <arg>
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   </trs>
  </trsInput>
 </input>
 <cpfVersion>2.2</cpfVersion>
 <proof>
  <trsTerminationProof>
   <dpTrans>
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         <sharp>
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             <arg>
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             <arg>
              <funapp>
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               <arg>
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            </funapp>
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        </funapp>
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      </rule>
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    </dps>
    <markedSymbols>true</markedSymbols>
    <dpProof>
     <depGraphProc>
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         <rule>
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           <funapp>
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            <name>a</name></sharp>
            <arg>
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              <name>b</name>
              <arg>
               <funapp>
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                <arg>
                 <var>x1</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </arg>
           </funapp>
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          <rhs>
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            <sharp>
            <name>a</name></sharp>
            <arg>
             <funapp>
              <name>b</name>
              <arg>
               <funapp>
                <name>b</name>
                <arg>
                 <funapp>
                  <name>a</name>
                  <arg>
                   <var>x1</var>
                  </arg>
                 </funapp>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
        </rules>
       </dps>
       <realScc>true</realScc>
       <dpProof>
        <redPairUrProc>
         <orderingConstraintProof>
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           <interpretation>
            <type>
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              <domain><naturals/>
              </domain>
              <dimension>2
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              <strictDimension>1
              </strictDimension>
             </matrixInterpretation>
            </type>
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             <name>a</name>
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                    <vector>
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                     <coefficient>
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                     <coefficient>
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                    </vector>
                   </matrix>
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                  <coefficient>
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               </polynomial>
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                     <coefficient>
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               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
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             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
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                  <coefficient>
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             <funapp>
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              <arg>
               <funapp>
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                <arg>
                 <funapp>
                  <name>a</name>
                  <arg>
                   <var>x1</var>
                  </arg>
                 </funapp>
                </arg>
               </funapp>
              </arg>
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             <funapp>
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                <arg>
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                  <name>b</name>
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                    <arg>
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                  </arg>
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                </arg>
               </funapp>
              </arg>
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           </rule>
           <rule>
            <lhs>
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              <name>b</name>
              <arg>
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                <name>b</name>
                <arg>
                 <funapp>
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                  <arg>
                   <var>x1</var>
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              <arg>
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                <name>b</name>
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                </arg>
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              </arg>
             </funapp>
            </rhs>
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          </rules>
         </usableRules>
         <dpProof>
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         </dpProof>
        </redPairUrProc>
       </dpProof>
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           <funapp>
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            <arg>
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              <name>b</name>
              <arg>
               <funapp>
                <name>a</name>
                <arg>
                 <var>x1</var>
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              </arg>
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            </arg>
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          <rhs>
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            <arg>
             <funapp>
              <name>b</name>
              <arg>
               <funapp>
                <name>a</name>
                <arg>
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                </arg>
               </funapp>
              </arg>
             </funapp>
            </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>