/export/starexec/sandbox2/solver/bin/starexec_run_Certifiable /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
<?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>
      <lhs>
       <funapp>
        <name>-</name>
        <arg>
         <funapp>
          <name>0</name>
         </funapp>
        </arg>
        <arg>
         <var>y</var>
        </arg>
       </funapp>
      </lhs>
      <rhs>
       <funapp>
        <name>0</name>
       </funapp>
      </rhs>
     </rule>
     <rule>
      <lhs>
       <funapp>
        <name>-</name>
        <arg>
         <var>x</var>
        </arg>
        <arg>
         <funapp>
          <name>0</name>
         </funapp>
        </arg>
       </funapp>
      </lhs>
      <rhs>
       <var>x</var>
      </rhs>
     </rule>
     <rule>
      <lhs>
       <funapp>
        <name>-</name>
        <arg>
         <var>x</var>
        </arg>
        <arg>
         <funapp>
          <name>s</name>
          <arg>
           <var>y</var>
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         </funapp>
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       </funapp>
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      <rhs>
       <funapp>
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          <name>greater</name>
          <arg>
           <var>x</var>
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          <arg>
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            <name>s</name>
            <arg>
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          <arg>
           <funapp>
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            <arg>
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             <funapp>
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               <funapp>
                <name>s</name>
                <arg>
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              </arg>
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          </arg>
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        </arg>
        <arg>
         <funapp>
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        <arg>
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     <rule>
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       <funapp>
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      <rhs>
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      </rhs>
     </rule>
    </rules>
   </trs>
  </trsInput>
 </input>
 <cpfVersion>2.2</cpfVersion>
 <proof>
  <trsTerminationProof>
   <dpTrans>
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         <sharp>
         <name>-</name></sharp>
         <arg>
          <var>x</var>
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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>
      <rule>
       <lhs>
        <funapp>
         <sharp>
         <name>-</name></sharp>
         <arg>
          <var>x</var>
         </arg>
         <arg>
          <funapp>
           <name>s</name>
           <arg>
            <var>y</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <sharp>
         <name>-</name></sharp>
         <arg>
          <var>x</var>
         </arg>
         <arg>
          <funapp>
           <name>p</name>
           <arg>
            <funapp>
             <name>s</name>
             <arg>
              <var>y</var>
             </arg>
            </funapp>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </rhs>
      </rule>
     </rules>
    </dps>
    <markedSymbols>true</markedSymbols>
    <dpProof>
     <depGraphProc>
      <component>
       <dps>
        <rules>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>-</name></sharp>
            <arg>
             <var>x</var>
            </arg>
            <arg>
             <funapp>
              <name>s</name>
              <arg>
               <var>y</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>-</name></sharp>
            <arg>
             <var>x</var>
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            <arg>
             <funapp>
              <name>p</name>
              <arg>
               <funapp>
                <name>s</name>
                <arg>
                 <var>y</var>
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               </funapp>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </rhs>
         </rule>
        </rules>
       </dps>
       <realScc>true</realScc>
       <dpProof>
        <redPairUrProc>
         <orderingConstraintProof>
          <redPair>
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            <argumentFilter>
             <argumentFilterEntry>
              <sharp>
              <name>-</name></sharp>
              <arity>2</arity>
              <collapsing>2</collapsing>
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               <arity>1</arity>
               <precedence>0
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               <status>
                <position>1</position>
               </status>
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              <precedenceStatusEntry>
               <name>greater</name>
               <arity>2</arity>
               <precedence>0
               </precedence>
               <status>
                <position>1</position>
                <position>2</position>
               </status>
              </precedenceStatusEntry>
              <precedenceStatusEntry>
               <sharp>
               <name>p</name></sharp>
               <arity>1</arity>
               <precedence>0
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               <status>
               </status>
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              <precedenceStatusEntry>
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               <arity>1</arity>
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               <status>
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              </precedenceStatusEntry>
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              <precedenceStatusEntry>
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               <precedence>0
               </precedence>
               <status>
               </status>
              </precedenceStatusEntry>
              <precedenceStatusEntry>
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               <arity>2</arity>
               <precedence>0
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                <position>2</position>
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              </precedenceStatusEntry>
             </precedenceStatus>
             <maxPoly>
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               <name>s</name>
               <arity>1</arity>
               <sum>
                <variable>1</variable>
                <constant>11293</constant>
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                <variable>2</variable>
                <constant>1</constant>
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                <variable>1</variable>
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              </interpret>
              <interpret>
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               <sum>
                <variable>1</variable>
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              <interpret>
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         </orderingConstraintProof>
         <dps>
          <rules>
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         <usableRules>
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            <lhs>
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               <funapp>
                <name>0</name>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <name>0</name>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <name>p</name>
              <arg>
               <funapp>
                <name>s</name>
                <arg>
                 <var>x</var>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <var>x</var>
            </rhs>
           </rule>
          </rules>
         </usableRules>
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          <depGraphProc>
          </depGraphProc>
         </dpProof>
        </redPairUrProc>
       </dpProof>
      </component>
      <component>
       <dps>
        <rules>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>-</name></sharp>
            <arg>
             <var>x</var>
            </arg>
            <arg>
             <funapp>
              <name>s</name>
              <arg>
               <var>y</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>p</name></sharp>
            <arg>
             <funapp>
              <name>s</name>
              <arg>
               <var>y</var>
              </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>