details

property	value
status	complete
benchmark	ExIntrod_GM04_FR.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n055.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE21
configuration	certified
runtime (wallclock)	17.5954008102 seconds
cpu usage	41.09912737
max memory	1.393065984E9

stage attributes

key	value
certification-result	CERTIFIED
starexec-result	NO
certification-time	0.53

output

/export/starexec/sandbox/solver/bin/starexec_run_certified /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO <?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>nats</name></funapp></lhs><rhs><funapp><name>adx</name><arg><funapp><name>zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__incr</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>hd</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>tl</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>activate</name><arg><var>Y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsNonterminationProof><ruleRemoval><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__incr</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><trsNonterminationProof><dpTrans><dps><rules><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>Y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>Y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>0</name></sharp></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>zeros</name></sharp></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>s</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>X</var></arg></funapp></rhs></rule></rules></dps><markedSymbols>true</markedSymbols><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>Y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>Y</var></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__incr</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>Y</var></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__incr</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>Y</var></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__incr</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>Y</var></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__incr</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><narrowingProc><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule></rules></narrowings><dpNonterminationProof><narrowingProc><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule></rules></narrowings><dpNonterminationProof><narrowingProc><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>n__0</name></funapp></arg></funapp></rhs></rule></rules></narrowings><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>Y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__incr</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><narrowingProc><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>zeros</name></funapp></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule></rules></narrowings><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>Y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__incr</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><narrowingProc><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule></rules></narrowings><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>Y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__incr</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><narrowingProc><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>n__0</name></funapp></arg></funapp></rhs></rule></rules></narrowings><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>Y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__incr</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><narrowingProc><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>zeros</name></funapp></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule></rules></narrowings><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>Y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__incr</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><narrowingProc><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule></rules></narrowings><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>Y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__incr</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>Y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__incr</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>Y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__incr</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>n__s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__incr</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>incr</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>adx</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__incr</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>incr</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__adx</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>adx</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><loop><rewriteSequence><startTerm><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></arg></funapp></startTerm><rewriteStep><positionInTerm><position>1</position><position>1</position></positionInTerm><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule><relative/><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rewriteStep><rewriteStep><positionInTerm/><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rewriteStep><rewriteStep><positionInTerm/><rule><lhs><funapp><sharp><name>adx</name></sharp><arg><funapp><name>cons</name><arg><var>X'</var></arg><arg><var>Y'</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X'</var></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><var>Y'</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rewriteStep><rewriteStep><positionInTerm/><rule><lhs><funapp><sharp><name>incr</name></sharp><arg><funapp><name>cons</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>Y</var></arg></funapp></rhs></rule><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__adx</name><arg><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></arg></funapp></rewriteStep></rewriteSequence><substitution/><box/></loop></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></narrowingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></narrowingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></narrowingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></narrowingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></narrowingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></narrowingProc></dpNonterminationProof></narrowingProc></dpNonterminationProof></narrowingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpTrans></trsNonterminationProof></ruleRemoval></trsNonterminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished </version><strategy>Statistics for single proof: 100.00 % (23 real / 0 unknown / 0 assumptions / 23 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 Standard Certified