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Runti Compl Full Rewri certi 81767 pair #381925762
details
property
value
status
complete
benchmark
tricky1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
Strategy_removed_mixed_05
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc_cert
runtime (wallclock)
0.109694957733 seconds
cpu usage
0.735729004
max memory
4.4392448E7
stage attributes
key
value
certification-result
CERTIFIED
output-size
9703
starexec-result
WORST_CASE(?,O(n^0))
certification-time
0.0
output
/export/starexec/sandbox/solver/bin/starexec_run_tct_rc_cert /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(1)) <?xml version="1.0" encoding="UTF-8"?> <?xml-stylesheet type="text/xsl" href="cpfHTML.xsl"?> <certificationProblem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="cpf.xsd"><input><complexityInput><trsInput><trs><rules><rule><lhs><funapp><name>f</name><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>g</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>f</name><arg><funapp><name>p</name><arg><funapp><name>f</name><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>g</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>p</name><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>p</name><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>g</name><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule></rules></trs><relativeRules><rules/></relativeRules></trsInput><runtimeComplexity><signature><symbol><name>0</name><arity>0</arity></symbol><symbol><name>s</name><arity>1</arity></symbol></signature><signature><symbol><name>f</name><arity>2</arity></symbol><symbol><name>g</name><arity>1</arity></symbol><symbol><name>p</name><arity>1</arity></symbol></signature></runtimeComplexity><polynomial>0</polynomial></complexityInput></input><cpfVersion>2.2</cpfVersion><proof><complexityProof><wdpTransformation><compoundSymbols><symbol><name>c1</name><arity>1</arity></symbol><symbol><name>c2</name><arity>1</arity></symbol><symbol><name>c3</name><arity>1</arity></symbol></compoundSymbols><strictWDPs><ruleWithWDP><rule><lhs><funapp><name>f</name><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>g</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>f</name><arg><funapp><name>p</name><arg><funapp><name>f</name><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>g</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name><arg><funapp><sharp><name>f</name></sharp><arg><funapp><name>p</name><arg><funapp><name>f</name><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></ruleWithWDP><ruleWithWDP><rule><lhs><funapp><name>g</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>p</name><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>g</name></sharp><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name><arg><funapp><sharp><name>p</name></sharp><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule></ruleWithWDP><ruleWithWDP><rule><lhs><funapp><name>p</name><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>g</name><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>p</name></sharp><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name><arg><funapp><sharp><name>g</name></sharp><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></rhs></rule></ruleWithWDP></strictWDPs><weakWDPs/><innermostLhss><funapp><sharp><name>f</name></sharp><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>g</name><arg><var>y</var></arg></funapp></arg></funapp><funapp><sharp><name>g</name></sharp><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp><funapp><sharp><name>p</name></sharp><arg><funapp><name>0</name></funapp></arg></funapp></innermostLhss><complexityProof><usableRules><nonUsableRules><rules><rule><lhs><funapp><name>f</name><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>g</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>f</name><arg><funapp><name>p</name><arg><funapp><name>f</name><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>g</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>p</name><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>p</name><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>g</name><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>g</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name><arg><funapp><sharp><name>f</name></sharp><arg><funapp><name>p</name><arg><funapp><name>f</name><arg><funapp><name>g</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>g</name></sharp><arg><funapp><name>s</name><arg><funapp><name>p</name><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name><arg><funapp><sharp><name>p</name></sharp><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule></rules></nonUsableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><name>0</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>f</name><arity>2</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>g</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>p</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>8</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>s</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>4</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>f</name></sharp><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><sharp><name>g</name></sharp><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><sharp><name>p</name></sharp><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>8</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>c1</name><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><name>c2</name><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><name>c3</name><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><sharp><name>p</name></sharp><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name><arg><funapp><sharp><name>g</name></sharp><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><complexityProof><rIsEmpty/></complexityProof></ruleShifting></complexityProof></usableRules></complexityProof></wdpTransformation></complexityProof></proof><origin><proofOrigin><tool><name>TcT</name><version/></tool></proofOrigin></origin></certificationProblem>
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