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TRS Standard Certified pair #487124507
details
property
value
status
complete
benchmark
Ex1_Zan97_GM.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
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
certified
runtime (wallclock)
1.81279 seconds
cpu usage
4.44575
user time
4.27703
system time
0.168723
max virtual memory
1.879364E7
max residence set size
330608.0
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>a__g</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>a__h</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__c</name></funapp></lhs><rhs><funapp><name>d</name></funapp></rhs></rule><rule><lhs><funapp><name>a__h</name><arg><funapp><name>d</name></funapp></arg></funapp></lhs><rhs><funapp><name>a__g</name><arg><funapp><name>c</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>g</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__g</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>h</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__h</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>c</name></funapp></arg></funapp></lhs><rhs><funapp><name>a__c</name></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>d</name></funapp></arg></funapp></lhs><rhs><funapp><name>d</name></funapp></rhs></rule><rule><lhs><funapp><name>a__g</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>g</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__h</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>h</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__c</name></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><ruleRemoval><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><name>a__g</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><coefficient><integer>2</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>a__h</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><coefficient><integer>1</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>a__c</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>3</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>d</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>mark</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><coefficient><integer>4</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>g</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>h</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules/></trs><trsTerminationProof><rIsEmpty/></trsTerminationProof></ruleRemoval></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 % (2 real / 0 unknown / 0 assumptions / 2 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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