details

property	value
status	complete
benchmark	random-148.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n022.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	35.5823681355 seconds
cpu usage	124.63241671
max memory	5.825159168E9

stage attributes

key	value
certification-result	CERTIFIED
output-size	81591
starexec-result	YES
certification-time	0.2

output

/export/starexec/sandbox2/solver/bin/starexec_run_certified /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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>c</name><arg><funapp><name>c</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>c</name><arg><funapp><name>a</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>c</name><arg><funapp><name>c</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>c</name><arg><funapp><name>a</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c</name><arg><funapp><name>c</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><relativeRules><rules><rule><lhs><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></relativeRules></trsInput></input><cpfVersion>2.1</cpfVersion><proof><relativeTerminationProof><stringReversal><trs><rules><rule><lhs><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>c</name><arg><funapp><name>a</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>c</name><arg><funapp><name>c</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>c</name><arg><funapp><name>a</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><trs><rules><rule><lhs><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><relativeTerminationProof><flatContextClosure><flatContexts><funContext><name>b</name><before/><box/><after/></funContext><funContext><name>c</name><before/><box/><after/></funContext><funContext><name>a</name><before/><box/><after/></funContext></flatContexts><trs><rules><rule><lhs><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>c</name><arg><funapp><name>a</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>a</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>c</name><arg><funapp><name>c</name><arg><funapp><name>a</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a</name><arg><funapp><name>c</name><arg><funapp><name>a</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>c</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>c</name><arg><funapp><name>c</name><arg><funapp><name>c</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a</name><arg><funapp><name>c</name><arg><funapp><name>c</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>c</name><arg><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a</name><arg><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>c</name><arg><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a</name><arg><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><trs><rules><rule><lhs><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>c</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>c</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c</name><arg><funapp><name>c</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a</name><arg><funapp><name>c</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><relativeTerminationProof><semlab><model><rootLabeling/></model><trs><rules><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><trs><rules><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></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><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>3</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>4</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>4</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>4</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>3</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><trs><rules/></trs><relativeTerminationProof><sIsEmpty><trsTerminationProof><ruleRemoval><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><coefficient><integer>1</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><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><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><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><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><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><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><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><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><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><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><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><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><trsTerminationProof><dpTrans><dps><rules><rule><lhs><funapp><sharp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><markedSymbols>true</markedSymbols><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><sizeChangeProc><subtermCriterion/><sizeChangeGraph><rule><lhs><funapp><sharp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><edge><position>1</position><strict>true</strict><position>1</position></edge></sizeChangeGraph><sizeChangeGraph><rule><lhs><funapp><sharp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><edge><position>1</position><strict>true</strict><position>1</position></edge></sizeChangeGraph></sizeChangeProc></dpProof></component><component><dps><rules><rule><lhs><funapp><sharp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></dpTrans></trsTerminationProof></ruleRemoval></trsTerminationProof></sIsEmpty></relativeTerminationProof></ruleRemoval></relativeTerminationProof></semlab></relativeTerminationProof></flatContextClosure></relativeTerminationProof></stringReversal></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 % (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> popout

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

job log

popout

actions

all output return to SRS Relative Certified