details

property	value
status	complete
benchmark	random-113.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n179.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	2.47179 seconds
cpu usage	6.42394
user time	6.17864
system time	0.245298
max virtual memory	3.7764088E7
max residence set size	584196.0

stage attributes

key	value
certification-result	CERTIFIED
output-size	59615
starexec-result	YES
certification-time	0.2

output

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lhs><rhs><funapp><name>c</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>c</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><relativeTerminationProof><semlab><model><rootLabeling/></model><trs><rules><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg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</symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><relativeTerminationProof><ruleRemoval><orderingConstraintProof><redPair><knuthBendixOrder><w0>1</w0><precedenceWeight><precedenceWeightEntry><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arity>1</arity><precedence>7</precedence><weight>15</weight></precedenceWeightEntry><precedenceWeightEntry><labeledSymbol><name>b</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arity>1</arity><precedence>8</precedence><weight>20</weight></precedenceWeightEntry><precedenceWeightEntry><labeledSymbol><name>c</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arity>1</arity><precedence>5</precedence><weight>3</weight></precedenceWeightEntry><precedenceWeightEntry><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arity>1</arity><precedence>3</precedence><weight>14</weight></precedenceWeightEntry><precedenceWeightEntry><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arity>1</arity><precedence>4</precedence><weight>11</weight></precedenceWeightEntry><precedenceWeightEntry><labeledSymbol><name>c</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arity>1</arity><precedence>6</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><labeledSymbol><name>c</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arity>1</arity><precedence>0</precedence><weight>13</weight></precedenceWeightEntry><precedenceWeightEntry><labeledSymbol><name>a</name><symbolLabel><name>c</name></symbolLabel></labeledSymbol><arity>1</arity><precedence>2</precedence><weight>27</weight></precedenceWeightEntry><precedenceWeightEntry><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arity>1</arity><precedence>1</precedence><weight>18</weight></precedenceWeightEntry></precedenceWeight></knuthBendixOrder></redPair></orderingConstraintProof><trs><rules/></trs><trs><rules/></trs><relativeTerminationProof><rIsEmpty/></relativeTerminationProof></ruleRemoval></relativeTerminationProof></semlab></relativeTerminationProof></flatContextClosure></relativeTerminationProof></stringReversal></relativeTerminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty </version><strategy>Statistics for single proof: 100.00 % (5 real / 0 unknown / 0 assumptions / 5 total proof steps)</strategy><url>http://aprove.informatik.rwth-aachen.de</url></tool><toolUser><firstName>John</firstName><lastName>Doe</lastName></toolUser></proofOrigin><inputOrigin/></origin></certificationProblem> popout

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all output return to SRS_Relative 2019-03-22 08.27