details

property	value
status	complete
benchmark	AC16.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n125.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	2.01775 seconds
cpu usage	4.66682
user time	4.51302
system time	0.153801
max virtual memory	1.8456548E7
max residence set size	262032.0

stage attributes

key	value
certification-result	CERTIFIED
output-size	6833
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>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><var>x</var></arg></funapp></lhs><rhs><var>x</var></rhs></rule><rule><lhs><funapp><name>plus</name><arg><funapp><name>T</name><arg><var>x</var></arg></funapp></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>T</name><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>plus</name><arg><funapp><name>T</name><arg><funapp><name>plus</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>T</name><arg><funapp><name>plus</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>L</name><arg><funapp><name>T</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>L</name><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>L</name><arg><funapp><name>plus</name><arg><funapp><name>T</name><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>plus</name><arg><funapp><name>L</name><arg><funapp><name>plus</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></arg><arg><funapp><name>L</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>T</name><arg><funapp><name>T</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>T</name><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>T</name><arg><funapp><name>plus</name><arg><funapp><name>T</name><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>plus</name><arg><funapp><name>T</name><arg><funapp><name>plus</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></arg><arg><funapp><name>T</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><Asymbols><name>plus</name></Asymbols><Csymbols><name>plus</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>plus</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>3</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>0</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>3</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>T</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>3</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>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>L</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>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><var>x</var></arg></funapp></lhs><rhs><var>x</var></rhs></rule><rule><lhs><funapp><name>plus</name><arg><funapp><name>T</name><arg><var>x</var></arg></funapp></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>T</name><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>plus</name><arg><funapp><name>T</name><arg><funapp><name>plus</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>T</name><arg><funapp><name>plus</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>L</name><arg><funapp><name>T</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>L</name><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>L</name><arg><funapp><name>plus</name><arg><funapp><name>T</name><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>plus</name><arg><funapp><name>L</name><arg><funapp><name>plus</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></arg><arg><funapp><name>L</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>T</name><arg><funapp><name>T</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>T</name><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>T</name><arg><funapp><name>plus</name><arg><funapp><name>T</name><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>plus</name><arg><funapp><name>T</name><arg><funapp><name>plus</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></arg><arg><funapp><name>T</name><arg><var>y</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> popout

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actions

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