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SRS Standard Certified pair #487547592
details
property
value
status
complete
benchmark
aprove06.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n010.star.cs.uiowa.edu
space
Secret_06_SRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2_cert
runtime (wallclock)
12.3894751072 seconds
cpu usage
46.718072329
max memory
1.703596032E9
stage attributes
key
value
certification-result
CERTIFIED
output-size
109247
starexec-result
YES
certification-time
0.2
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2_cert /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES <?xml version="1.0"?> <?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>tower</name><arg><funapp><name>0</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>0</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>tower</name><arg><funapp><name>s</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>twoto</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>tower</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</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><name>twoto</name><arg><funapp><name>0</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>0</name><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>twoto</name><arg><funapp><name>s</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>twice</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>twoto</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</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></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><name>twice</name><arg><funapp><name>0</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>twice</name><arg><funapp><name>s</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>twice</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</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><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>p</name><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>p</name><arg><funapp><name>s</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><var>x1</var></rhs></rule><rule><lhs><funapp><name>p</name><arg><funapp><name>0</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</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></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><stringReversal><trs><rules><rule><lhs><funapp><name>0</name><arg><funapp><name>tower</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>0</name><arg><funapp><name>s</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><funapp><name>tower</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>tower</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>twoto</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</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><name>0</name><arg><funapp><name>twoto</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name><arg><funapp><name>s</name><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><funapp><name>twoto</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>twoto</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>twice</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</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></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><name>0</name><arg><funapp><name>twice</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><funapp><name>twice</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>twice</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</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><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>p</name><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><funapp><name>p</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><var>x1</var></rhs></rule><rule><lhs><funapp><name>0</name><arg><funapp><name>p</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</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></rhs></rule></rules></trs><trsTerminationProof><ruleRemoval><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><arctic><domain><integers/></domain></arctic></domain><degree>1</degree></polynomial></type><interpret><name>twoto</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><coefficient><minusInfinity/></coefficient></polynomial></sum></polynomial></interpret><interpret><name>tower</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>5</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><coefficient><minusInfinity/></coefficient></polynomial></sum></polynomial></interpret><interpret><name>p</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><coefficient><minusInfinity/></coefficient></polynomial></sum></polynomial></interpret><interpret><name>twice</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><coefficient><minusInfinity/></coefficient></polynomial></sum></polynomial></interpret><interpret><name>0</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><coefficient><minusInfinity/></coefficient></polynomial></sum></polynomial></interpret><interpret><name>s</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><coefficient><minusInfinity/></coefficient></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><name>s</name><arg><funapp><name>tower</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>tower</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>twoto</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</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><name>0</name><arg><funapp><name>twoto</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name><arg><funapp><name>s</name><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><funapp><name>twoto</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>twoto</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>twice</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</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></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><name>0</name><arg><funapp><name>twice</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><funapp><name>twice</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>twice</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funa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ame><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>tower</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>twoto</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</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></rules></dps><realScc>false</realScc><arcs/></component><component><dps><rules><rule><lhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>twoto</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc><arcs/></component><component><dps><rules><rule><lhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>twoto</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</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><arcs/></component><component><dps><rules><rule><lhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>twoto</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</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></rules></dps><realScc>false</realScc><arcs/></component><component><dps><rules><rule><lhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>twoto</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</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></rules></dps><realScc>false</realScc><arcs/></component><component><dps><rules><rule><lhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>twoto</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</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></rhs></rule></rules></dps><realScc>false</realScc><arcs/></component><component><dps><rules><rule><lhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>twoto</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>p</name><arg><funapp><name>twice</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</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></rhs></rule></rules></dps><realScc>false</realScc><arcs/></component><component><dps><rules><rule><lhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>twoto</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>twice</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</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></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc><arcs/></component><component><dps><rules><rule><lhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>twoto</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>twice</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</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></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc><arcs/></component><component><dps><rules><rule><lhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>twoto</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>p</name><arg><funapp><name>twoto</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>twice</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</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></arg></funapp></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><arcs/></component><component><dps><rules><rule><lhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>twoto</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>twoto</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>twice</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</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></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></rules></dps><realScc>false</realScc><arcs/></component><component><dps><rules><rule><lhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>twice</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc><arcs/></component><component><dps><rules><rule><lhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>twice</name><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>s</name></sharp><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>twice</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><funapp><name>p</name><arg><funapp><name>p</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></rules></dps><realScc>false</realScc><arcs/></component></depGraphProc></dpProof></dpTrans></trsTerminationProof></ruleRemoval></trsTerminationProof></stringReversal></trsTerminationProof></proof><origin><proofOrigin><tool><name>ttt2</name><version>ttt2 1.20 [hg: unknown]</version><strategy>((if standard then var else fail) | con | (if srs then ((sleep -t 25?;rlab;(((( (if srs then arctic -dim 1 -ib 4 -ob 5 else fail) || (if srs then arctic -dim 2 -ib 2 -ob 3 else fail) || (if srs then arctic -dim 3 -ib 1 -ob 2 else fail) || (if srs then arctic -dim 3 -ib 2 -ob 2 else fail) || matrix -dim 1 -ib 5 -ob 8 || matrix -dim 2 -ib 3 -ob 4 || matrix -dim 3 -ib 2 -ob 3 || matrix -dim 3 -ib 1 -ob 2 || matrix -dim 4 -ib 1 -ob 2 || matrix -dim 5 -ib 1 -ob 1 || kbo -ib 3 -ob 4 || wpo -msum -ib 3 -ob 4 -cpf || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( (wpo -cpf -dp -ur -sum -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -pol -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -max -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -msum -ib 3 -ob 3 [4] | wpo -cpf -dp -ur -mat -dim 2 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -mat -dim 3 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -ib 3 -ob 3 [9] | fail ) || matrix -dp -ur -dim 1 -ib 3 -ob 5 || matrix -dp -ur -dim 1 -ib 3 -ob 8 -rat 2 -db 1 || matrix -dp -ur -dim 1 -ib 4 -ob 10 -rat 4 -db 1 || matrix -dp -ur -dim 2 -ib 2 -ob 3 || matrix -dp -ur -dim 2 -ib 3 -ob 4 -rat 2 -db 0 || matrix -dp -ur -dim 3 -ib 1 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 -rat 2 -db 0 || matrix -dp -ur -dim 4 -ib 1 -ob 2 || lpo -ur -af || (arctic -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || (arctic -bz -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -bz -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -bz -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -bz -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || fail) } restore) )*[29])) || (bounds -cert || fail;(bounds -rfc -qc))))! || (( unfold || fail)*[7])!)[299])! || ((((( (if srs then arctic -dim 1 -ib 4 -ob 5 else fail) || (if srs then arctic -dim 2 -ib 2 -ob 3 else fail) || (if srs then arctic -dim 3 -ib 1 -ob 2 else fail) || (if srs then arctic -dim 3 -ib 2 -ob 2 else fail) || matrix -dim 1 -ib 5 -ob 8 || matrix -dim 2 -ib 3 -ob 4 || matrix -dim 3 -ib 2 -ob 3 || matrix -dim 3 -ib 1 -ob 2 || matrix -dim 4 -ib 1 -ob 2 || matrix -dim 5 -ib 1 -ob 1 || kbo -ib 3 -ob 4 || wpo -msum -ib 3 -ob 4 -cpf || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( (wpo -cpf -dp -ur -sum -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -pol -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -max -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -msum -ib 3 -ob 3 [4] | wpo -cpf -dp -ur -mat -dim 2 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -mat -dim 3 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -ib 3 -ob 3 [9] | fail ) || matrix -dp -ur -dim 1 -ib 3 -ob 5 || matrix -dp -ur -dim 1 -ib 3 -ob 8 -rat 2 -db 1 || matrix -dp -ur -dim 1 -ib 4 -ob 10 -rat 4 -db 1 || matrix -dp -ur -dim 2 -ib 2 -ob 3 || matrix -dp -ur -dim 2 -ib 3 -ob 4 -rat 2 -db 0 || matrix -dp -ur -dim 3 -ib 1 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 -rat 2 -db 0 || matrix -dp -ur -dim 4 -ib 1 -ob 2 || lpo -ur -af || (arctic -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || (arctic -bz -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -bz -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -bz -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -bz -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || fail) } restore) )*[29])) || (bounds -cert || fail;(bounds -rfc -qc))))! || (( unfold || fail)*[7])!)[299])! || (rev?;((( (if srs then arctic -dim 1 -ib 4 -ob 5 else fail) || (if srs then arctic -dim 2 -ib 2 -ob 3 else fail) || (if srs then arctic -dim 3 -ib 1 -ob 2 else fail) || (if srs then arctic -dim 3 -ib 2 -ob 2 else fail) || matrix -dim 1 -ib 5 -ob 8 || matrix -dim 2 -ib 3 -ob 4 || matrix -dim 3 -ib 2 -ob 3 || matrix -dim 3 -ib 1 -ob 2 || matrix -dim 4 -ib 1 -ob 2 || matrix -dim 5 -ib 1 -ob 1 || kbo -ib 3 -ob 4 || wpo -msum -ib 3 -ob 4 -cpf || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( (wpo -cpf -dp -ur -sum -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -pol -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -max -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -msum -ib 3 -ob 3 [4] | wpo -cpf -dp -ur -mat -dim 2 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -mat -dim 3 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -ib 3 -ob 3 [9] | fail ) || matrix -dp -ur -dim 1 -ib 3 -ob 5 || matrix -dp -ur -dim 1 -ib 3 -ob 8 -rat 2 -db 1 || matrix -dp -ur -dim 1 -ib 4 -ob 10 -rat 4 -db 1 || matrix -dp -ur -dim 2 -ib 2 -ob 3 || matrix -dp -ur -dim 2 -ib 3 -ob 4 -rat 2 -db 0 || matrix -dp -ur -dim 3 -ib 1 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 -rat 2 -db 0 || matrix -dp -ur -dim 4 -ib 1 -ob 2 || lpo -ur -af || (arctic -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || (arctic -bz -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -bz -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -bz -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -bz -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || fail) } restore) )*[29])) || (bounds -cert || fail;(bounds -rfc -qc))))![299])! ) else ((((( (if srs then arctic -dim 1 -ib 4 -ob 5 else fail) || (if srs then arctic -dim 2 -ib 2 -ob 3 else fail) || (if srs then arctic -dim 3 -ib 1 -ob 2 else fail) || (if srs then arctic -dim 3 -ib 2 -ob 2 else fail) || matrix -dim 1 -ib 5 -ob 8 || matrix -dim 2 -ib 3 -ob 4 || matrix -dim 3 -ib 2 -ob 3 || matrix -dim 3 -ib 1 -ob 2 || matrix -dim 4 -ib 1 -ob 2 || matrix -dim 5 -ib 1 -ob 1 || kbo -ib 3 -ob 4 || wpo -msum -ib 3 -ob 4 -cpf || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( (wpo -cpf -dp -ur -sum -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -pol -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -max -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -msum -ib 3 -ob 3 [4] | wpo -cpf -dp -ur -mat -dim 2 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -mat -dim 3 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -ib 3 -ob 3 [9] | fail ) || matrix -dp -ur -dim 1 -ib 3 -ob 5 || matrix -dp -ur -dim 1 -ib 3 -ob 8 -rat 2 -db 1 || matrix -dp -ur -dim 1 -ib 4 -ob 10 -rat 4 -db 1 || matrix -dp -ur -dim 2 -ib 2 -ob 3 || matrix -dp -ur -dim 2 -ib 3 -ob 4 -rat 2 -db 0 || matrix -dp -ur -dim 3 -ib 1 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 -rat 2 -db 0 || matrix -dp -ur -dim 4 -ib 1 -ob 2 || lpo -ur -af || (arctic -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || (arctic -bz -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -bz -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -bz -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -bz -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || fail) } restore) )*[29])) || (bounds -cert || fail;(bounds -rfc -qc))))! || (( unfold || fail)*[7])!)[299])))</strategy></tool></proofOrigin></origin></certificationProblem>
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