details

property	value
status	complete
benchmark	130962.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n060.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE21
configuration	certified
runtime (wallclock)	60.1540901661 seconds
cpu usage	234.568561479
max memory	1.2391194624E10

stage attributes

key	value
certification-result	CERTIFIED
starexec-result	YES
certification-time	18.10

output

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g><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>2</name></sharp><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>2</name></sharp><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>2</name></sharp><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>2</name></sharp><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>2</name></sharp><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></fun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p></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>2</name></sharp><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><fu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name></sharp><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>2</name></sharp><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>2</name></sharp><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>2</name></sharp><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>2</name></sharp><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp>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arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>2</name></sharp><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>2</name></sharp><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>2</name></sharp><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>2</name></sharp><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs>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app><name>1</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>1</name></sharp><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></dpTrans></trsTerminationProof></stringReversal></trsTerminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished </version><strategy>Statistics for single proof: 100.00 % (5 real / 0 unknown / 0 assumptions / 5 total proof steps)</strategy><url>http://aprove.informatik.rwth-aachen.de</url></tool><toolUser><firstName>John</firstName><lastName>Doe</lastName></toolUser></proofOrigin><inputOrigin/></origin></certificationProblem> popout

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all output return to SRS Standard Certified