TRS Equational Certified pair #487132622

details

property	value
status	complete
benchmark	AC02.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n139.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	NaTT 1.6.1
configuration	Certifiable
runtime (wallclock)	0.035019 seconds
cpu usage	0.033625
user time	0.011945
system time	0.02168
max virtual memory	113188.0
max residence set size	9232.0

stage attributes

key	value
certification-result	CERTIFIED
starexec-result	CERTIFIED YES
certification-time	0.16
bare-result	YES

output

<?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>
  <acRewriteSystem>
   <trs>
    <rules>
     <rule>
      <lhs>
       <funapp>
        <name>plus</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>plus</name>
        <arg>
         <var>x</var>
        </arg>
        <arg>
         <funapp>
          <name>s</name>
          <arg>
           <var>y</var>
          </arg>
         </funapp>
        </arg>
       </funapp>
      </lhs>
      <rhs>
       <funapp>
        <name>s</name>
        <arg>
         <funapp>
          <name>plus</name>
          <arg>
           <var>x</var>
          </arg>
          <arg>
           <var>y</var>
          </arg>
         </funapp>
        </arg>
       </funapp>
      </rhs>
     </rule>
     <rule>
      <lhs>
       <funapp>
        <name>double</name>
        <arg>
         <var>x</var>
        </arg>
       </funapp>
      </lhs>
      <rhs>
       <funapp>
        <name>plus</name>
        <arg>
         <var>x</var>
        </arg>
        <arg>
         <var>x</var>
        </arg>
       </funapp>
      </rhs>
     </rule>
    </rules>
   </trs>
   <Asymbols>
    <name>plus</name>
   </Asymbols>
   <Csymbols>
    <name>plus</name>
   </Csymbols>
  </acRewriteSystem>
 </input>
 <cpfVersion>2.2</cpfVersion>
 <proof>
  <acTerminationProof>
   <acDependencyPairs>
    <equations>
     <rules>
      <rule>
       <lhs>
        <funapp>
         <name>plus</name>

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