TRS Equational Certified pair #487132684

details

property	value
status	complete
benchmark	kusakari1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	NaTT 1.6.1
configuration	Certifiable
runtime (wallclock)	0.0289191 seconds
cpu usage	0.025495
user time	0.014417
system time	0.011078
max virtual memory	113188.0
max residence set size	7148.0

stage attributes

key	value
certification-result	CERTIFIED
starexec-result	CERTIFIED YES
certification-time	0.14
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>+</name>
        <arg>
         <funapp>
          <name>g</name>
          <arg>
           <var>x</var>
          </arg>
         </funapp>
        </arg>
        <arg>
         <funapp>
          <name>g</name>
          <arg>
           <var>y</var>
          </arg>
         </funapp>
        </arg>
       </funapp>
      </lhs>
      <rhs>
       <funapp>
        <name>g</name>
        <arg>
         <funapp>
          <name>+</name>
          <arg>
           <funapp>
            <name>g</name>
            <arg>
             <funapp>
              <name>a</name>
             </funapp>
            </arg>
           </funapp>
          </arg>
          <arg>
           <funapp>
            <name>+</name>
            <arg>
             <var>x</var>
            </arg>
            <arg>
             <var>y</var>
            </arg>
           </funapp>
          </arg>
         </funapp>
        </arg>
       </funapp>
      </rhs>
     </rule>
    </rules>
   </trs>
   <Asymbols>
    <name>+</name>
   </Asymbols>
   <Csymbols>
    <name>+</name>
   </Csymbols>
  </acRewriteSystem>
 </input>
 <cpfVersion>2.2</cpfVersion>
 <proof>
  <acTerminationProof>
   <acDependencyPairs>
    <equations>
     <rules>
      <rule>
       <lhs>
        <funapp>
         <name>+</name>
         <arg>
          <var>x</var>
         </arg>
         <arg>
          <funapp>
           <name>+</name>
           <arg>
            <var>y</var>
           </arg>
           <arg>
            <var>z</var>
           </arg>
          </funapp>
         </arg>
        </funapp>
       </lhs>
       <rhs>
        <funapp>
         <name>+</name>

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job log

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actions all output return to TRS Equational Certified