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TRS Standard Certified pair #487123154
details
property
value
status
complete
benchmark
pair2simple2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Endrullis_06
run statistics
property
value
solver
AProVE
configuration
certified
runtime (wallclock)
1.9534 seconds
cpu usage
4.44875
user time
4.21407
system time
0.234684
max virtual memory
1.859096E7
max residence set size
331128.0
stage attributes
key
value
certification-result
CERTIFIED
starexec-result
CERTIFIED YES
certification-time
0.04
bare-result
YES
output
<?xml version="1.0" encoding="UTF-8" standalone="no"?><?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>p</name><arg><funapp><name>a</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>p</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>p</name><arg><funapp><name>a</name><arg><var>x2</var></arg></funapp></arg><arg><funapp><name>p</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></arg></funapp></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><dpTrans><dps><rules><rule><lhs><funapp><sharp><name>p</name></sharp><arg><funapp><name>a</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>p</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>p</name></sharp><arg><funapp><name>a</name><arg><var>x2</var></arg></funapp></arg><arg><funapp><name>p</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>p</name></sharp><arg><funapp><name>a</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>p</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>p</name></sharp><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule></rules></dps><markedSymbols>true</markedSymbols><dpProof><redPairProc><orderingConstraintProof><redPair><knuthBendixOrder><w0>1</w0><precedenceWeight><precedenceWeightEntry><name>p</name><arity>2</arity><precedence>1</precedence><weight>1</weight></precedenceWeightEntry></precedenceWeight><argumentFilter><argumentFilterEntry><sharp><name>p</name></sharp><arity>2</arity><collapsing>2</collapsing></argumentFilterEntry><argumentFilterEntry><name>p</name><arity>2</arity><nonCollapsing><position>2</position></nonCollapsing></argumentFilterEntry></argumentFilter></knuthBendixOrder></redPair></orderingConstraintProof><dps><rules><rule><lhs><funapp><sharp><name>p</name></sharp><arg><funapp><name>a</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>p</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>p</name></sharp><arg><funapp><name>a</name><arg><var>x2</var></arg></funapp></arg><arg><funapp><name>p</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><dpProof><redPairProc><orderingConstraintProof><redPair><pathOrder><statusPrecedence><statusPrecedenceEntry><name>a</name><arity>1</arity><precedence>1</precedence><lex/></statusPrecedenceEntry><statusPrecedenceEntry><name>p</name><arity>2</arity><precedence>2</precedence><lex/></statusPrecedenceEntry><statusPrecedenceEntry><name>b</name><arity>1</arity><precedence>0</precedence><lex/></statusPrecedenceEntry></statusPrecedence><argumentFilter><argumentFilterEntry><sharp><name>p</name></sharp><arity>2</arity><collapsing>2</collapsing></argumentFilterEntry><argumentFilterEntry><name>a</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>p</name><arity>2</arity><nonCollapsing><position>2</position><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>b</name><arity>1</arity><nonCollapsing/></argumentFilterEntry></argumentFilter></pathOrder></redPair></orderingConstraintProof><dps><rules/></dps><dpProof><pIsEmpty/></dpProof></redPairProc></dpProof></redPairProc></dpProof></dpTrans></trsTerminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty </version><strategy>Statistics for single proof: 100.00 % (4 real / 0 unknown / 0 assumptions / 4 total proof steps)</strategy><url>http://aprove.informatik.rwth-aachen.de</url></tool><toolUser><firstName>John</firstName><lastName>Doe</lastName></toolUser></proofOrigin><inputOrigin/></origin></certificationProblem>
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