details

property	value
status	complete
benchmark	recursion-10.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	TCT_12

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	1.9099 seconds
cpu usage	4.34037
user time	4.12757
system time	0.212795
max virtual memory	1.8528968E7
max residence set size	312504.0

stage attributes

key	value
certification-result	CERTIFIED
starexec-result	CERTIFIED YES
certification-time	0.13
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>f_0</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>a</name></funapp></rhs></rule><rule><lhs><funapp><name>f_1</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g_1</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>g_1</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>f_0</name><arg><var>y</var></arg></funapp></arg><arg><funapp><name>g_1</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f_2</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g_2</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>g_2</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>f_1</name><arg><var>y</var></arg></funapp></arg><arg><funapp><name>g_2</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f_3</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g_3</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>g_3</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>f_2</name><arg><var>y</var></arg></funapp></arg><arg><funapp><name>g_3</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f_4</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g_4</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>g_4</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>f_3</name><arg><var>y</var></arg></funapp></arg><arg><funapp><name>g_4</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f_5</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g_5</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>g_5</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>f_4</name><arg><var>y</var></arg></funapp></arg><arg><funapp><name>g_5</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f_6</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g_6</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>g_6</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>f_5</name><arg><var>y</var></arg></funapp></arg><arg><funapp><name>g_6</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f_7</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g_7</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>g_7</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>f_6</name><arg><var>y</var></arg></funapp></arg><arg><funapp><name>g_7</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f_8</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g_8</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>g_8</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>f_7</name><arg><var>y</var></arg></funapp></arg><arg><funapp><name>g_8</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f_9</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g_9</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>g_9</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>f_8</name><arg><var>y</var></arg></funapp></arg><arg><funapp><name>g_9</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f_10</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g_10</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>g_10</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>f_9</name><arg><var>y</var></arg></funapp></arg><arg><funapp><name>g_10</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><ruleRemoval><orderingConstraintProof><redPair><pathOrder><statusPrecedence><statusPrecedenceEntry><name>f_0</name><arity>1</arity><precedence>0</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>a</name><arity>0</arity><precedence>0</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>f_1</name><arity>1</arity><precedence>3</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>g_1</name><arity>2</arity><precedence>2</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>s</name><arity>1</arity><precedence>6</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>b</name><arity>2</arity><precedence>1</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>f_2</name><arity>1</arity><precedence>4</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>g_2</name><arity>2</arity><precedence>3</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>f_3</name><arity>1</arity><precedence>5</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>g_3</name><arity>2</arity><precedence>4</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>f_4</name><arity>1</arity><precedence>7</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>g_4</name><arity>2</arity><precedence>5</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>f_5</name><arity>1</arity><precedence>8</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>g_5</name><arity>2</arity><precedence>7</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>f_6</name><arity>1</arity><precedence>9</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>g_6</name><arity>2</arity><precedence>8</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>f_7</name><arity>1</arity><precedence>10</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>g_7</name><arity>2</arity><precedence>9</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>f_8</name><arity>1</arity><precedence>11</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>g_8</name><arity>2</arity><precedence>10</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>f_9</name><arity>1</arity><precedence>13</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>g_9</name><arity>2</arity><precedence>12</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>f_10</name><arity>1</arity><precedence>14</precedence><mul/></statusPrecedenceEntry><statusPrecedenceEntry><name>g_10</name><arity>2</arity><precedence>13</precedence><mul/></statusPrecedenceEntry></statusPrecedence><argumentFilter><argumentFilterEntry><name>f_0</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>f_1</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>g_1</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>s</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>b</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>f_2</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>g_2</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>f_3</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>g_3</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>f_4</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>g_4</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>f_5</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>g_5</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>f_6</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>g_6</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>f_7</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>g_7</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>f_8</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>g_8</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>f_9</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>g_9</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>f_10</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>g_10</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry></argumentFilter></pathOrder></redPair></orderingConstraintProof><trs><rules/></trs><trsTerminationProof><rIsEmpty/></trsTerminationProof></ruleRemoval></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 % (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 Standard Certified