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TRS Standard Certified pair #487127000
details
property
value
status
complete
benchmark
TypeEx3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Applicative_05
run statistics
property
value
solver
AProVE
configuration
certified
runtime (wallclock)
3.15328 seconds
cpu usage
8.84092
user time
8.48589
system time
0.355032
max virtual memory
1.8597468E7
max residence set size
519904.0
stage attributes
key
value
certification-result
CERTIFIED
starexec-result
CERTIFIED NO
certification-time
0.14
bare-result
NO
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>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>hd</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>app</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></arg></funapp></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsNonterminationProof><dpTrans><dps><rules><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>hd</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>hd</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>app</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>app</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>f</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></rhs></rule></rules></dps><markedSymbols>true</markedSymbols><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>hd</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>app</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>f</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>hd</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>app</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><dpNonterminationProof><narrowingProc><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>hd</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></rhs></rule><positionInTerm><position>1</position><position>2</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>hd</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>hd</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><funapp><name>map</name></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>hd</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><var>y0</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>hd</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><var>y0</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>hd</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>map</name></funapp></arg><arg><funapp><name>cons</name></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule></rules></narrowings><dpNonterminationProof><loop><rewriteSequence><startTerm><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></startTerm><rewriteStep><positionInTerm/><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>n</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></rhs></rule><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></rewriteStep></rewriteSequence><substitution><substEntry><var>f</var><funapp><name>cons</name></funapp></substEntry><substEntry><var>n</var><funapp><name>nil</name></funapp></substEntry></substitution><box/></loop></dpNonterminationProof></narrowingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpTrans></trsNonterminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty </version><strategy>Statistics for single proof: 100.00 % (4 real / 0 unknown / 0 assumptions / 4 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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