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


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


YES
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        <redPairUrProc>
         <orderingConstraintProof>
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             <matrixInterpretation>
              <domain><naturals/>
              </domain>
              <dimension>2
              </dimension>
              <strictDimension>1
              </strictDimension>
             </matrixInterpretation>
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            <interpret>
             <name>a</name>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
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                 <vector>
                  <coefficient>
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                  <coefficient>
                  <integer>0</integer></coefficient>
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              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <name>s</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>0</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
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                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>17</integer></coefficient>
                  <coefficient>
                  <integer>1</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
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             </polynomial>
            </interpret>
            <interpret>
             <name>b</name>
             <arity>1</arity>
             <polynomial>
              <sum>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>0</integer></coefficient>
                  <coefficient>
                  <integer>0</integer></coefficient>
                 </vector>
                </coefficient>
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              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <name>c</name>
             <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>
             <sharp>
             <name>p</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>p</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>
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                     <coefficient>
                     <integer>0</integer></coefficient>
                    </vector>
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                  </coefficient>
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                 <polynomial>
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               <polynomial>
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                 <vector>
                  <coefficient>
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                  <coefficient>
                  <integer>10</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
            </interpret>
            <interpret>
             <sharp>
             <name>c</name></sharp>
             <arity>1</arity>
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              <sum>
               <polynomial>
                <product>
                 <polynomial>
                  <coefficient>
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                     <coefficient>
                     <integer>1</integer></coefficient>
                     <coefficient>
                     <integer>0</integer></coefficient>
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                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>0</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
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                 <polynomial>
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                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
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                 <vector>
                  <coefficient>
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                  <coefficient>
                  <integer>6</integer></coefficient>
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                </coefficient>
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             </polynomial>
            </interpret>
            <interpret>
             <sharp>
             <name>a</name></sharp>
             <arity>1</arity>
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              <sum>
               <polynomial>
                <product>
                 <polynomial>
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                   <matrix>
                    <vector>
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                     <coefficient>
                     <integer>0</integer></coefficient>
                    </vector>
                    <vector>
                     <coefficient>
                     <integer>0</integer></coefficient>
                     <coefficient>
                     <integer>0</integer></coefficient>
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                   </matrix>
                  </coefficient>
                 </polynomial>
                 <polynomial>
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                 </polynomial>
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               </polynomial>
               <polynomial>
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                  <coefficient>
                  <integer>14</integer></coefficient>
                  <coefficient>
                  <integer>6</integer></coefficient>
                 </vector>
                </coefficient>
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             </polynomial>
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            <interpret>
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             <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>
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                     <coefficient>
                     <integer>0</integer></coefficient>
                    </vector>
                   </matrix>
                  </coefficient>
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                 <polynomial>
                  <variable>1</variable>
                 </polynomial>
                </product>
               </polynomial>
               <polynomial>
                <coefficient>
                 <vector>
                  <coefficient>
                  <integer>2</integer></coefficient>
                  <coefficient>
                  <integer>6</integer></coefficient>
                 </vector>
                </coefficient>
               </polynomial>
              </sum>
             </polynomial>
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          </rules>
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           <rule>
            <lhs>
             <funapp>
              <name>p</name>
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               <funapp>
                <name>p</name>
                <arg>
                 <funapp>
                  <name>s</name>
                  <arg>
                   <var>x1</var>
                  </arg>
                 </funapp>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </lhs>
            <rhs>
             <funapp>
              <name>p</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </rhs>
           </rule>
           <rule>
            <lhs>
             <funapp>
              <name>p</name>
              <arg>
               <funapp>
                <name>s</name>
                <arg>
                 <var>x1</var>
                </arg>
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             </funapp>
            </lhs>
            <rhs>
             <var>x1</var>
            </rhs>
           </rule>
          </rules>
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        <rules>
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           <funapp>
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            <arg>
             <funapp>
              <name>s</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>p</name></sharp>
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             <funapp>
              <name>p</name>
              <arg>
               <funapp>
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                <arg>
                 <funapp>
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                  <arg>
                   <funapp>
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                     <funapp>
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                      <arg>
                       <funapp>
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                        <arg>
                         <funapp>
                          <name>p</name>
                          <arg>
                           <funapp>
                            <name>s</name>
                            <arg>
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                </arg>
               </funapp>
              </arg>
             </funapp>
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            <sharp>
            <name>b</name></sharp>
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             <funapp>
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              <arg>
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           <funapp>
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              <name>s</name>
              <arg>
               <funapp>
                <name>p</name>
                <arg>
                 <funapp>
                  <name>s</name>
                  <arg>
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              </arg>
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           </funapp>
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            <sharp>
            <name>a</name></sharp>
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             <funapp>
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              <arg>
               <var>x1</var>
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             <funapp>
              <name>s</name>
              <arg>
               <funapp>
                <name>s</name>
                <arg>
                 <var>x1</var>
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              </arg>
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        <rules>
         <rule>
          <lhs>
           <funapp>
            <sharp>
            <name>a</name></sharp>
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             <funapp>
              <name>s</name>
              <arg>
               <var>x1</var>
              </arg>
             </funapp>
            </arg>
           </funapp>
          </lhs>
          <rhs>
           <funapp>
            <sharp>
            <name>p</name></sharp>
            <arg>
             <funapp>
              <name>s</name>
              <arg>
               <funapp>
                <name>b</name>
                <arg>
                 <funapp>
                  <name>p</name>
                  <arg>
                   <funapp>
                    <name>p</name>
                    <arg>
                     <funapp>
                      <name>s</name>
                      <arg>
                       <funapp>
                        <name>s</name>
                        <arg>
                         <var>x1</var>
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                 </funapp>
                </arg>
               </funapp>
              </arg>
             </funapp>
            </arg>
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           <funapp>
            <sharp>
            <name>c</name></sharp>
            <arg>
             <funapp>
              <name>s</name>
              <arg>
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             <funapp>
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              <arg>
               <funapp>
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                <arg>
                 <funapp>
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                  <arg>
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              <arg>
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            <sharp>
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            <arg>
             <funapp>
              <name>p</name>
              <arg>
               <funapp>
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                <arg>
                 <funapp>
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                  <arg>
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         <rule>
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            <sharp>
            <name>p</name></sharp>
            <arg>
             <funapp>
              <name>p</name>
              <arg>
               <funapp>
                <name>s</name>
                <arg>
                 <var>x1</var>
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           <funapp>
            <sharp>
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             <name>a</name>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
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            <interpret>
             <name>s</name>
             <arity>1</arity>
             <sum>
              <variable>1</variable>
              <constant>1</constant>
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            <interpret>
             <name>b</name>
             <arity>1</arity>
             <sum>
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            <interpret>
             <name>c</name>
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             <sum>
              <constant>0</constant>
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            <interpret>
             <sharp>
             <name>p</name></sharp>
             <arity>1</arity>
             <sum>
              <variable>1</variable>
              <constant>0</constant>
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            <interpret>
             <name>p</name>
             <arity>1</arity>
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              <variable>1</variable>
              <constant>0</constant>
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            <interpret>
             <sharp>
             <name>c</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
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            <interpret>
             <sharp>
             <name>a</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
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            <interpret>
             <sharp>
             <name>b</name></sharp>
             <arity>1</arity>
             <sum>
              <constant>0</constant>
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          <rules>
          </rules>
         </dps>
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          <rules>
          </rules>
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            <sharp>
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              <arg>
               <funapp>
                <name>p</name>
                <arg>
                 <funapp>
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                  <arg>
                   <funapp>
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                    <arg>
                     <funapp>
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                      <arg>
                       <funapp>
                        <name>s</name>
                        <arg>
                         <funapp>
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                          <arg>
                           <funapp>
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            <sharp>
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             <funapp>
              <name>s</name>
              <arg>
               <funapp>
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                 <funapp>
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                   <funapp>
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                     <funapp>
                      <name>p</name>
                      <arg>
                       <funapp>
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                        <arg>
                         <var>x1</var>
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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>