TRS Equational Certified pair #487132624

details

property	value
status	complete
benchmark	AC13.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n147.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	NaTT 1.6.1
configuration	Certifiable
runtime (wallclock)	0.0749429 seconds
cpu usage	0.056391
user time	0.027325
system time	0.029066
max virtual memory	113188.0
max residence set size	7176.0

stage attributes

key	value
certification-result	REJECTED
certification-err=1: error below AC-dependency pair processor 1.1: error below the dependency graph processor 1.1.1: error when	1: error below AC-dependency pair processor 1.1: error below the dependency graph processor 1.1.1: error when applying AC-reduct
starexec-result	REJECTED YES
certification-time	0.44
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>i</name>
          <arg>
           <var>x</var>
          </arg>
         </funapp>
        </arg>
       </funapp>
      </lhs>
      <rhs>
       <funapp>
        <name>0</name>
       </funapp>
      </rhs>
     </rule>
     <rule>
      <lhs>
       <funapp>
        <name>i</name>
        <arg>
         <funapp>
          <name>0</name>
         </funapp>
        </arg>
       </funapp>
      </lhs>
      <rhs>
       <funapp>
        <name>0</name>
       </funapp>
      </rhs>
     </rule>
     <rule>
      <lhs>
       <funapp>
        <name>i</name>
        <arg>
         <funapp>
          <name>i</name>
          <arg>
           <var>x</var>
          </arg>
         </funapp>
        </arg>
       </funapp>
      </lhs>
      <rhs>
       <var>x</var>
      </rhs>
     </rule>
     <rule>
      <lhs>
       <funapp>
        <name>i</name>
        <arg>
         <funapp>
          <name>plus</name>
          <arg>
           <var>x</var>
          </arg>
          <arg>
           <var>y</var>
          </arg>
         </funapp>
        </arg>
       </funapp>
      </lhs>

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