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TRS_Equational Certified 2019-03-22 08.29 pair #430114033
details
property
value
status
complete
benchmark
AC15.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n037.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
AProVE
configuration
certified
runtime (wallclock)
1.70971 seconds
cpu usage
3.20961
user time
3.07082
system time
0.138792
max virtual memory
1.8390992E7
max residence set size
213428.0
stage attributes
key
value
certification-result
CERTIFIED
output-size
3764
starexec-result
YES
certification-time
0.0
output
YES <?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><acRewriteSystem><trs><rules><rule><lhs><funapp><name>f</name><arg><funapp><name>g</name><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>f</name><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f</name><arg><funapp><name>f</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></arg><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>f</name><arg><var>x</var></arg><arg><funapp><name>h</name><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><Asymbols><name>f</name></Asymbols><Csymbols><name>f</name></Csymbols></acRewriteSystem></input><cpfVersion>2.1</cpfVersion><proof><acTerminationProof><acRuleRemoval><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>2</degree></polynomial></type><interpret><name>f</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>g</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>3</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></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>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><name>f</name><arg><funapp><name>g</name><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>f</name><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f</name><arg><funapp><name>f</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></arg><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>f</name><arg><var>x</var></arg><arg><funapp><name>h</name><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><acTerminationProof><acRIsEmpty/></acTerminationProof></acRuleRemoval></acTerminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 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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return to TRS_Equational Certified 2019-03-22 08.29