details

property	value
status	complete
benchmark	z090.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n142.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	13.1793 seconds
cpu usage	48.5154
user time	46.5676
system time	1.94784
max virtual memory	9.7373176E7
max residence set size	4479260.0

stage attributes

key	value
certification-result	CERTIFIED
starexec-result	CERTIFIED YES
certification-time	3.93
bare-result	YES

output

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p><name>u</name><arg><funapp><name>t</name><arg><funapp><name>u</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>u</name><arg><funapp><name>u</name><arg><funapp><name>t</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><trsTerminationProof><semlab><model><rootLabeling/></model><trs><rules><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>s</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></f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ol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>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></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><trsTerminationProof><ruleRemoval><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><labeledSymbol><name>b</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>u</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>s</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>u</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>s</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>u</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><coefficient><integer>1</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>s</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>t</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>b</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>s</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>s</name><symbolL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bolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>u</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>u</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>u</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><trsTerminationProof><dpTrans><dps><rules><rule><lhs><funapp><sharp><labeledSymbol><name>b</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><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Symbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledS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><dps><rules><rule><lhs><funapp><sharp><labeledSymbol><name>s</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>s</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><labeledSymbol><name>s</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>s</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><labeledSymbol><name>s</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>s</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><labeledSymbol><name>s</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>s</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><labeledSymbol><name>s</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>s</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><labeledSymbol><name>s</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>s</name><symbolLabel><name>u</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></redPairUrProc></dpProof></component><component><dps><rules><rule><lhs><funapp><sharp><labeledSymbol><name>t</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>s</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>s</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>u</name><symbolLabel><name>t</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>t</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></redPairProc></dpProof></dpTrans></trsTerminationProof></ruleRemoval></trsTerminationProof></semlab></trsTerminationProof></flatContextClosure></trsTerminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty </version><strategy>Statistics for single proof: 100.00 % (15 real / 0 unknown / 0 assumptions / 15 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