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TRS Standard Certified pair #487126322
details
property
value
status
complete
benchmark
11.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
Applicative_first_order_05
run statistics
property
value
solver
AProVE
configuration
certified
runtime (wallclock)
2.21858 seconds
cpu usage
5.36006
user time
5.13637
system time
0.223689
max virtual memory
1.8589912E7
max residence set size
353016.0
stage attributes
key
value
certification-result
CERTIFIED
starexec-result
CERTIFIED YES
certification-time
0.38
bare-result
YES
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>D</name></funapp></arg><arg><funapp><name>t</name></funapp></arg></funapp></lhs><rhs><funapp><name>1</name></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><funapp><name>constant</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>+</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>+</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>*</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>+</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>*</name></funapp></arg><arg><var>y</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>*</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>-</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>-</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>minus</name></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>minus</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>div</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>-</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>div</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>div</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>*</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>pow</name></funapp></arg><arg><var>y</var></arg></funapp></arg><arg><funapp><name>2</name></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>ln</name></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>div</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>pow</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>+</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>*</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>*</name></funapp></arg><arg><var>y</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>pow</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>-</name></funapp></arg><arg><var>y</var></arg></funapp></arg><arg><funapp><name>1</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>*</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>*</name></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>pow</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>ln</name></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>D</name></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></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><rule><lhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>filter</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>filter</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>app</name><arg><funapp><name>app</name><arg><funapp><name>filter2</name></funapp></arg><arg><funapp><name>app</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></arg></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>filter2</name></funapp></arg><arg><funapp><name>true</name></funapp></arg></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>cons</name></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>filter</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>filter2</name></funapp></arg><arg><funapp><name>false</name></funapp></arg></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><var>x</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><funapp><name>filter</name></funapp></arg><arg><var>f</var></arg></funapp></arg><arg><var>xs</var></arg></funapp></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><uncurry><uncurryInformation><name>app</name><uncurriedSymbols><uncurriedSymbolEntry><name>D</name><arity>0</arity><n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nceEntry><name>false</name><arity>0</arity><precedence>21</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>D</name><arity>0</arity><precedence>22</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>+</name><arity>0</arity><precedence>23</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>*</name><arity>0</arity><precedence>24</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>-</name><arity>0</arity><precedence>25</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>minus</name><arity>0</arity><precedence>26</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>div</name><arity>0</arity><precedence>27</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>pow</name><arity>0</arity><precedence>28</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>pow1</name><arity>1</arity><precedence>14</precedence><lex/></statusPrecedenceEntry><statusPrecedenceEntry><name>ln</name><arity>0</arity><precedence>29</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>map</name><arity>0</arity><precedence>30</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>map1</name><arity>1</arity><precedence>15</precedence><lex/></statusPrecedenceEntry><statusPrecedenceEntry><name>cons</name><arity>0</arity><precedence>31</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>cons1</name><arity>1</arity><precedence>16</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>filter</name><arity>0</arity><precedence>32</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>filter2</name><arity>0</arity><precedence>33</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>filter22</name><arity>2</arity><precedence>18</precedence><lex/></statusPrecedenceEntry><statusPrecedenceEntry><name>filter23</name><arity>3</arity><precedence>17</precedence><lex/></statusPrecedenceEntry></statusPrecedence><argumentFilter><argumentFilterEntry><name>D1</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>t</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>1</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>constant</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>0</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>+2</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>*2</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>-2</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>minus1</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>div2</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>pow2</name><arity>2</arity><nonCollapsing><position>2</position><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>2</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>ln1</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>map2</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>nil</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>cons2</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>app</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>filter3</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>filter24</name><arity>4</arity><nonCollapsing><position>2</position><position>4</position><position>3</position><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>true</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>false</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>D</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>+</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>+1</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>*</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>*1</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>-</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>-1</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>minus</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>div</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>div1</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>pow</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>pow1</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>ln</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>map</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>map1</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>cons</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>cons1</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>filter</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>filter1</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>filter2</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>filter21</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>filter22</name><arity>2</arity><nonCollapsing><position>2</position><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>filter23</name><arity>3</arity><nonCollapsing><position>2</position><position>3</position><position>1</position></nonCollapsing></argumentFilterEntry></argumentFilter></pathOrder></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><name>D1</name><arg><funapp><name>minus1</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>minus1</name><arg><funapp><name>D1</name><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>filter1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>filter3</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule></rules></trs><trsTerminationProof><ruleRemoval><orderingConstraintProof><redPair><knuthBendixOrder><w0>1</w0><precedenceWeight><precedenceWeightEntry><name>D1</name><arity>1</arity><precedence>2</precedence><weight>2</weight></precedenceWeightEntry><precedenceWeightEntry><name>minus1</name><arity>1</arity><precedence>1</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>filter1</name><arity>1</arity><precedence>4</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>app</name><arity>2</arity><precedence>3</precedence><weight>0</weight></precedenceWeightEntry><precedenceWeightEntry><name>filter3</name><arity>2</arity><precedence>0</precedence><weight>1</weight></precedenceWeightEntry></precedenceWeight></knuthBendixOrder></redPair></orderingConstraintProof><trs><rules/></trs><trsTerminationProof><rIsEmpty/></trsTerminationProof></ruleRemoval></trsTerminationProof></ruleRemoval></trsTerminationProof></uncurry></trsTerminationProof></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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