details

property	value
status	complete
benchmark	YWHM14_4.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n006.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	2.05404 seconds
cpu usage	4.70291
user time	4.50373
system time	0.199179
max virtual memory	1.8402748E7
max residence set size	263288.0

stage attributes

key	value
certification-result	CERTIFIED
output-size	7454
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>ac1</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>ac2</name><arg><funapp><name>b</name></funapp></arg><arg><funapp><name>c</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>ac1</name><arg><funapp><name>b</name></funapp></arg><arg><funapp><name>f</name><arg><funapp><name>ac2</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>c</name></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>ac2</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>ac1</name><arg><funapp><name>b</name></funapp></arg><arg><funapp><name>c</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>ac2</name><arg><funapp><name>b</name></funapp></arg><arg><funapp><name>f</name><arg><funapp><name>ac1</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>c</name></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><Asymbols><name>ac1</name><name>ac2</name></Asymbols><Csymbols><name>ac1</name><name>ac2</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>ac1</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>ac2</name><arity>2</arity><polynomial><sum><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>a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>b</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>f</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><rule><lhs><funapp><name>ac2</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>ac1</name><arg><funapp><name>b</name></funapp></arg><arg><funapp><name>c</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>ac2</name><arg><funapp><name>b</name></funapp></arg><arg><funapp><name>f</name><arg><funapp><name>ac1</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>c</name></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><acTerminationProof><acRuleRemoval><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>2</degree></polynomial></type><interpret><name>ac1</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>ac2</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>b</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</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>f</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><rule><lhs><funapp><name>ac1</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>ac2</name><arg><funapp><name>b</name></funapp></arg><arg><funapp><name>c</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>ac1</name><arg><funapp><name>b</name></funapp></arg><arg><funapp><name>f</name><arg><funapp><name>ac2</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>c</name></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><acTerminationProof><acRIsEmpty/></acTerminationProof></acRuleRemoval></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 % (3 real / 0 unknown / 0 assumptions / 3 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> popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS_Equational Certified 2019-03-22 08.29