details

property	value
status	complete
benchmark	rtL-me3.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n137.star.cs.uiowa.edu
space	Relative_05

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	3.2395 seconds
cpu usage	9.49182
user time	8.99399
system time	0.497834
max virtual memory	1.8724088E7
max residence set size	1031668.0

stage attributes

key	value
certification-result	CERTIFIED
starexec-result	CERTIFIED YES
certification-time	0.24
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>topB</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>topA</name><arg><funapp><name>1</name></funapp></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><funapp><name>0</name></funapp></arg><arg><var>x</var></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><funapp><name>S1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><funapp><name>1</name></funapp></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><funapp><name>1</name></funapp></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><relativeRules><rules><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>topA</name><arg><funapp><name>1</name></funapp></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><funapp><name>0</name></funapp></arg><arg><var>x</var></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>S1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><funapp><name>1</name></funapp></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><funapp><name>1</name></funapp></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><funapp><name>C</name><arg><var>x</var></arg></funapp></arg></funapp></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><funapp><name>C</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>S2</name><arg><funapp><name>D</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></relativeRules></trsInput></input><cpfVersion>2.1</cpfVersion><proof><relativeTerminationProof><equalityRemoval><relativeTerminationProof><ruleRemoval><orderingConstraintProof><redPair><pathOrder><statusPrecedence><statusPrecedenceEntry><name>topB</name><arity>3</arity><precedence>1</precedence><lex/></statusPrecedenceEntry><statusPrecedenceEntry><name>N1</name><arity>1</arity><precedence>2</precedence><lex/></statusPrecedenceEntry><statusPrecedenceEntry><name>topA</name><arity>3</arity><precedence>1</precedence><lex/></statusPrecedenceEntry><statusPrecedenceEntry><name>1</name><arity>0</arity><precedence>2</precedence><lex/></statusPrecedenceEntry><statusPrecedenceEntry><name>N2</name><arity>1</arity><precedence>1</precedence><lex/></statusPrecedenceEntry><statusPrecedenceEntry><name>0</name><arity>0</arity><precedence>0</precedence><lex/></statusPrecedenceEntry><statusPrecedenceEntry><name>T2</name><arity>1</arity><precedence>1</precedence><lex/></statusPrecedenceEntry><statusPrecedenceEntry><name>S1</name><arity>1</arity><precedence>2</precedence><lex/></statusPrecedenceEntry><statusPrecedenceEntry><name>S2</name><arity>1</arity><precedence>1</precedence><lex/></statusPrecedenceEntry></statusPrecedence><argumentFilter><argumentFilterEntry><name>topB</name><arity>3</arity><nonCollapsing><position>2</position><position>1</position><position>3</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>N1</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>topA</name><arity>3</arity><nonCollapsing><position>2</position><position>1</position><position>3</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>1</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>T1</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>N2</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>0</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>T2</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>S1</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>S2</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>C</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>D</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry></argumentFilter></pathOrder></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><funapp><name>0</name></funapp></arg><arg><var>x</var></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><funapp><name>S1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><funapp><name>1</name></funapp></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><funapp><name>1</name></funapp></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><trs><rules><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><funapp><name>0</name></funapp></arg><arg><var>x</var></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>S1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><funapp><name>1</name></funapp></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><funapp><name>1</name></funapp></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><funapp><name>C</name><arg><var>x</var></arg></funapp></arg></funapp></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><funapp><name>C</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>S2</name><arg><funapp><name>D</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><relativeTerminationProof><ruleRemoval><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><name>topA</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></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>3</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>N2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>topB</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></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>3</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>0</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>T2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>S1</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>N1</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>S2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>1</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>T1</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>C</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>D</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><funapp><name>0</name></funapp></arg><arg><var>x</var></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><funapp><name>1</name></funapp></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><funapp><name>1</name></funapp></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><trs><rules><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><funapp><name>0</name></funapp></arg><arg><var>x</var></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><funapp><name>1</name></funapp></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><funapp><name>1</name></funapp></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><funapp><name>C</name><arg><var>x</var></arg></funapp></arg></funapp></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><funapp><name>C</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>S2</name><arg><funapp><name>D</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><relativeTerminationProof><ruleRemoval><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><name>topA</name><arity>3</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></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>3</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>N2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>topB</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></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>3</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>0</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>T2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>S2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>N1</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>1</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>T1</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>C</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>D</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules/></trs><trs><rules><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><funapp><name>0</name></funapp></arg><arg><var>x</var></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><funapp><name>1</name></funapp></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>T2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><funapp><name>1</name></funapp></arg><arg><funapp><name>T1</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>topA</name><arg><var>i</var></arg><arg><funapp><name>N1</name><arg><funapp><name>C</name><arg><var>x</var></arg></funapp></arg></funapp></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>N2</name><arg><funapp><name>C</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>S2</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>topB</name><arg><var>i</var></arg><arg><var>x</var></arg><arg><funapp><name>S2</name><arg><funapp><name>D</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><relativeTerminationProof><rIsEmpty/></relativeTerminationProof></ruleRemoval></relativeTerminationProof></ruleRemoval></relativeTerminationProof></ruleRemoval></relativeTerminationProof></equalityRemoval></relativeTerminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty </version><strategy>Statistics for single proof: 100.00 % (5 real / 0 unknown / 0 assumptions / 5 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

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS Relative Certified