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TRS_Innermost Certified 2019-04-01 06.48 pair #433315162
details
property
value
status
complete
benchmark
innermost4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n168.star.cs.uiowa.edu
space
Mixed_innermost
run statistics
property
value
solver
AProVE
configuration
certified
runtime (wallclock)
1.8601 seconds
cpu usage
3.86668
user time
3.66005
system time
0.206631
max virtual memory
1.8590696E7
max residence set size
297980.0
stage attributes
key
value
certification-result
CERTIFIED
output-size
14136
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><trsInput><trs><rules><rule><lhs><funapp><name>f</name><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><name>f</name><arg><funapp><name>a</name><arg><funapp><name>b</name></funapp></arg></funapp></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><funapp><name>g</name><arg><var>x</var></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>g</name><arg><var>x</var></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><name>h</name><arg><var>x</var></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>h</name><arg><funapp><name>b</name></funapp></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><name>f</name><arg><var>y</var></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a</name><arg><funapp><name>b</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule></rules></trs><strategy><innermost/></strategy></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><dpTrans><dps><rules><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><funapp><name>b</name></funapp></arg></funapp></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><funapp><name>g</name><arg><var>x</var></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>a</name></sharp><arg><funapp><name>b</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>g</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>g</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>h</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>h</name></sharp><arg><funapp><name>b</name></funapp></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><var>y</var></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></rhs></rule></rules></dps><markedSymbols>true</markedSymbols><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>g</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>g</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>h</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>h</name></sharp><arg><funapp><name>b</name></funapp></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><var>y</var></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><funapp><name>b</name></funapp></arg></funapp></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><funapp><name>g</name><arg><var>x</var></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><rewritingProc><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><funapp><name>b</name></funapp></arg></funapp></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><funapp><name>g</name><arg><var>x</var></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></arg></funapp></rhs></rule><rewriteStep><positionInTerm><position>1</position></positionInTerm><rule><lhs><funapp><name>a</name><arg><funapp><name>b</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><funapp><sharp><name>f</name></sharp><arg><funapp><name>c</name></funapp></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><funapp><name>g</name><arg><var>x</var></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></arg></funapp></rewriteStep><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>c</name></funapp></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><funapp><name>g</name><arg><var>x</var></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></arg></funapp></rhs></rule><usableRules><rules><rule><lhs><funapp><name>a</name><arg><funapp><name>b</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule></rules></usableRules><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><name>g</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>h</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>h</name></sharp><arg><funapp><name>b</name></funapp></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><var>y</var></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>g</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><usableRulesProc><usableRules><rules/></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss><funapp><name>a</name><arg><funapp><name>b</name></funapp></arg></funapp></innermostLhss><dpProof><instantiationProc><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>g</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></rhs></rule><instantiations><rules><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>a</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x2</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><sharp><name>g</name></sharp><arg><var>x0</var></arg><arg><funapp><name>a</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x2</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></rhs></rule></rules></instantiations><dpProof><instantiationProc><rule><lhs><funapp><sharp><name>g</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>h</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></rhs></rule><instantiations><rules><rule><lhs><funapp><sharp><name>g</name></sharp><arg><var>z0</var></arg><arg><funapp><name>a</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><sharp><name>h</name></sharp><arg><var>z0</var></arg><arg><funapp><name>a</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></rhs></rule></rules></instantiations><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><name>h</name></sharp><arg><funapp><name>b</name></funapp></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><var>y</var></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><var>u</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>a</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x2</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><sharp><name>g</name></sharp><arg><var>x0</var></arg><arg><funapp><name>a</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x2</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>g</name></sharp><arg><var>z0</var></arg><arg><funapp><name>a</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><sharp><name>h</name></sharp><arg><var>z0</var></arg><arg><funapp><name>a</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></instantiationProc></dpProof></instantiationProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></component><component><dps><rules><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>c</name></funapp></arg><arg><var>y</var></arg><arg><var>z</var></arg><arg><funapp><name>g</name><arg><var>x</var></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></rewritingProc></dpProof></component><component><dps><rules><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg><arg><var>u</var></arg></funapp></lhs><rhs><funapp><sharp><name>a</name></sharp><arg><funapp><name>b</name></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></dpTrans></trsTerminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty </version><strategy>Statistics for single proof: 100.00 % (9 real / 0 unknown / 0 assumptions / 9 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_Innermost Certified 2019-04-01 06.48