JLearn Html Log ([dj., 17 oct. 2013 14:06:49])

[DEBUG][dj., 17 oct. 2013 14:06:50][de.ls5.learnlib.algorithms.ra.dl.RAPacks]

RAPacks initialized

Initial D:
[()[ access(p1) ] {{1,},}]

[INFO][dj., 17 oct. 2013 14:06:50][rmm.cache.rmmCache]

Data Structure (plain text)

Prefix	Remapping	()[ access(p1) ] {{1,},}
[ ] {}	()	[ access(p1) ] {{1,},} -> miss()
[ access(p1) ] {{1,},}	()	[ access(p1) ] {{1,},} -> miss()

Hypothesis ()

[INFO][dj., 17 oct. 2013 14:06:50][rmm.cache.rmmCache]

Counterexample ()

input: [access(p1)(1) access(p1)(3) access(p1)(5) access(p1)(3) access(p1)(2) access(p1)(4) access(p1)(2) access(p1)(1) access(p1)(3) access(p1)(0) access(p1)(1) access(p1)(3) access(p1)(0) access(p1)(0) ]

output: [miss() miss() miss() hit() miss() miss() hit() miss() miss() miss() hit() hit() hit() hit() ]

hypout: [miss() miss() miss() miss() miss() miss() miss() miss() miss() miss() miss() miss() miss() miss() ]

[INFO][dj., 17 oct. 2013 14:06:50][de.ls5.learnlib.algorithms.ra.dl.Component]

Splitting Component

Old accesss sequence: [ ] {}
New access sequences: [ access(p1) ] {{1,},}

[INFO][dj., 17 oct. 2013 14:06:51][rmm.cache.rmmCache]

Data Structure (plain text)

Prefix	Remapping	()[ access(p1) ] {{1,},}	(a1->2)[ access(p1)access(p2) ] {{1,},{2,},}
[ ] {}	()	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1) ] {{1,},}	(1->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2) ] {{1,},{2,},}	(1->1,2->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}	(1->1,2->2,3->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}	(2->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p2=p4 ] {{1,},{3,},{2,4,},}	(1->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()

Hypothesis ()

[INFO][dj., 17 oct. 2013 14:06:52][rmm.cache.rmmCache]

Counterexample ()

input: [access(p1)(5) access(p1)(1) access(p1)(5) access(p1)(6) access(p1)(0) access(p1)(3) access(p1)(2) access(p1)(6) access(p1)(4) access(p1)(2) access(p1)(0) access(p1)(0) access(p1)(6) access(p1)(0) ]

output: [miss() miss() hit() miss() miss() miss() miss() hit() miss() hit() hit() hit() miss() miss() ]

hypout: [miss() miss() miss() miss() miss() miss() miss() miss() miss() miss() miss() miss() miss() hit() ]

[INFO][dj., 17 oct. 2013 14:06:52][rmm.cache.rmmCache]

Data Structure (plain text)

Prefix	Remapping	()[ access(p1) ] {{1,},}	(a1->2)[ access(p1)access(p2) ] {{1,},{2,},}
[ ] {}	()	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1) ] {{1,},}	(1->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2) ] {{1,},{2,},}	(1->1,2->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3), p1=p3 ] {{2,},{1,3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}	(1->1,2->2,3->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}	(2->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p2=p4 ] {{1,},{3,},{2,4,},}	(1->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()

Hypothesis ()

[INFO][dj., 17 oct. 2013 14:06:53][rmm.cache.rmmCache]

Counterexample ()

input: [access(p1)(1) access(p1)(1) access(p1)(4) access(p1)(2) access(p1)(6) access(p1)(5) access(p1)(6) access(p1)(4) access(p1)(6) access(p1)(2) access(p1)(6) access(p1)(5) access(p1)(5) access(p1)(1) ]

output: [miss() hit() miss() miss() miss() miss() hit() hit() hit() hit() hit() hit() hit() miss() ]

hypout: [miss() miss() miss() miss() miss() miss() hit() miss() hit() miss() hit() miss() miss() miss() ]

[INFO][dj., 17 oct. 2013 14:06:53][rmm.cache.rmmCache]

Data Structure (plain text)

Prefix	Remapping	()[ access(p1) ] {{1,},}	(a1->2)[ access(p1)access(p2) ] {{1,},{2,},}
[ ] {}	()	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1) ] {{1,},}	(1->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2), p1=p2 ] {{1,2,},}	(2->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2) ] {{1,},{2,},}	(1->1,2->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3), p1=p3 ] {{2,},{1,3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}	(1->1,2->2,3->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}	(2->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p2=p4 ] {{1,},{3,},{2,4,},}	(1->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()

Hypothesis ()

[INFO][dj., 17 oct. 2013 14:06:53][rmm.cache.rmmCache]

Counterexample ()

input: [access(p1)(1) access(p1)(3) access(p1)(0) access(p1)(1) access(p1)(6) access(p1)(1) access(p1)(6) access(p1)(4) access(p1)(1) access(p1)(1) access(p1)(3) access(p1)(6) access(p1)(3) access(p1)(2) ]

output: [miss() miss() miss() hit() miss() hit() hit() miss() miss() hit() miss() hit() hit() miss() ]

hypout: [miss() miss() miss() miss() miss() hit() hit() miss() miss() miss() miss() miss() hit() miss() ]

[INFO][dj., 17 oct. 2013 14:06:53][rmm.cache.rmmCache]

Data Structure (plain text)

Prefix	Remapping	()[ access(p1) ] {{1,},}	(a1->2)[ access(p1)access(p2) ] {{1,},{2,},}
[ ] {}	()	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1) ] {{1,},}	(1->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2), p1=p2 ] {{1,2,},}	(2->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2) ] {{1,},{2,},}	(1->1,2->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3), p1=p3 ] {{2,},{1,3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}	(1->1,2->2,3->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}	(2->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p2=p4 ] {{1,},{3,},{2,4,},}	(1->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p1=p4 ] {{2,},{3,},{1,4,},}	(2->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()

Hypothesis ()

[INFO][dj., 17 oct. 2013 14:06:54][rmm.cache.rmmCache]

Counterexample ()

input: [access(p1)(2) access(p1)(0) access(p1)(6) access(p1)(5) access(p1)(4) access(p1)(4) access(p1)(2) access(p1)(4) access(p1)(5) access(p1)(6) access(p1)(0) access(p1)(1) access(p1)(2) access(p1)(4) ]

output: [miss() miss() miss() miss() miss() hit() miss() hit() hit() hit() miss() miss() hit() hit() ]

hypout: [miss() miss() miss() miss() miss() miss() miss() hit() miss() miss() miss() miss() miss() miss() ]

[INFO][dj., 17 oct. 2013 14:06:54][rmm.cache.rmmCache]

Data Structure (plain text)

Prefix	Remapping	()[ access(p1) ] {{1,},}	(a1->2)[ access(p1)access(p2) ] {{1,},{2,},}
[ ] {}	()	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1) ] {{1,},}	(1->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2), p1=p2 ] {{1,2,},}	(2->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2) ] {{1,},{2,},}	(1->1,2->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3), p1=p3 ] {{2,},{1,3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}	(1->1,2->2,3->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}	(2->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p2=p4 ] {{1,},{3,},{2,4,},}	(1->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p1=p4 ] {{2,},{3,},{1,4,},}	(2->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p3=p4 ] {{1,},{2,},{3,4,},}	(1->1,2->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()

Hypothesis ()

[INFO][dj., 17 oct. 2013 14:06:54][rmm.cache.rmmCache]

Counterexample ()

input: [access(p1)(5) access(p1)(2) access(p1)(4) access(p1)(0) access(p1)(1) access(p1)(4) access(p1)(1) access(p1)(3) access(p1)(6) access(p1)(1) access(p1)(4) access(p1)(3) access(p1)(5) access(p1)(6) ]

output: [miss() miss() miss() miss() miss() hit() hit() miss() miss() hit() miss() hit() miss() hit() ]

hypout: [miss() miss() miss() miss() miss() hit() hit() miss() miss() hit() miss() miss() miss() miss() ]

[INFO][dj., 17 oct. 2013 14:06:54][de.ls5.learnlib.algorithms.ra.dl.Component]

Splitting Component

Old accesss sequence: [ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}
New access sequences: [ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}

[INFO][dj., 17 oct. 2013 14:06:55][de.ls5.learnlib.algorithms.ra.dl.Component]

Splitting Component

Old accesss sequence: [ access(p1) ] {{1,},}
New access sequences: [ access(p1)access(p2), p1=p2 ] {{1,2,},}

[INFO][dj., 17 oct. 2013 14:06:55][de.ls5.learnlib.algorithms.ra.dl.Component]

Splitting Component

Old accesss sequence: [ access(p1)access(p2) ] {{1,},{2,},}
New access sequences: [ access(p1)access(p2)access(p3), p1=p3 ] {{2,},{1,3,},}

[INFO][dj., 17 oct. 2013 14:06:55][de.ls5.learnlib.algorithms.ra.dl.Component]

Splitting Component

Old accesss sequence: [ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}
New access sequences: [ access(p1)access(p2)access(p3)access(p4), p2=p4 ] {{1,},{3,},{2,4,},}

[INFO][dj., 17 oct. 2013 14:06:56][de.ls5.learnlib.algorithms.ra.dl.Component]

Splitting Component

Old accesss sequence: [ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}
New access sequences: [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p5 ] {{2,},{3,},{4,},{1,5,},}

[INFO][dj., 17 oct. 2013 14:06:56][rmm.cache.rmmCache]

Data Structure (plain text)

Prefix	Remapping	()[ access(p1) ] {{1,},}	(a1->2)[ access(p1)access(p2) ] {{1,},{2,},}	(a1->1)[ access(p1) ] {{1,},}	()[ ] {}
[ ] {}	()	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1) ] {{1,},} -> miss()	[ ] {} -> null()
[ access(p1) ] {{1,},}	(1->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> miss()
[ access(p1)access(p2) ] {{1,},{2,},}	(1->1,2->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3), p1=p2 ] {{1,2,},{3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}	(1->1,2->2,3->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 ] {{2,},{1,3,},{4,},}	(2->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}	(1->1,2->2,3->3,4->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5) ] {{1,},{2,},{3,},{4,},{5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p4 ] {{1,},{3,},{5,},{2,4,},}	(1->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 ] {{2,},{3,},{4,},{1,5,},{6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2), p1=p2 ] {{1,2,},}	(2->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3), p1=p3 ] {{2,},{1,3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p2=p4 ] {{1,},{3,},{2,4,},}	(1->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p4 ] {{2,},{3,},{1,4,},}	(2->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p3=p4 ] {{1,},{2,},{3,4,},}	(1->1,2->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p5 ] {{2,},{3,},{4,},{1,5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p5 ] {{1,},{3,},{4,},{2,5,},}	(1->4,3->2,4->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p3=p5 ] {{1,},{2,},{4,},{3,5,},}	(1->4,2->2,4->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p4=p5 ] {{1,},{2,},{3,},{4,5,},}	(1->4,2->2,3->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p4=p6 ] {{2,},{3,},{1,5,},{4,6,},}	(2->2,3->3,5->4,6->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()

Hypothesis ()

[INFO][dj., 17 oct. 2013 14:06:59][rmm.cache.rmmCache]

Counterexample ()

input: [access(p1)(0) access(p1)(0) access(p1)(2) access(p1)(2) access(p1)(4) access(p1)(4) access(p1)(3) access(p1)(0) access(p1)(6) access(p1)(1) access(p1)(6) access(p1)(0) access(p1)(2) access(p1)(1) ]

output: [miss() hit() miss() hit() miss() hit() miss() hit() miss() miss() hit() miss() miss() hit() ]

hypout: [miss() hit() miss() miss() miss() hit() miss() miss() miss() miss() hit() miss() miss() hit() ]

[INFO][dj., 17 oct. 2013 14:06:59][rmm.cache.rmmCache]

Data Structure (plain text)

Prefix	Remapping	()[ access(p1) ] {{1,},}	(a1->2)[ access(p1)access(p2) ] {{1,},{2,},}	(a1->1)[ access(p1) ] {{1,},}	()[ ] {}
[ ] {}	()	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1) ] {{1,},} -> miss()	[ ] {} -> null()
[ access(p1) ] {{1,},}	(1->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> miss()
[ access(p1)access(p2) ] {{1,},{2,},}	(1->1,2->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3), p1=p2 ] {{1,2,},{3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}	(1->1,2->2,3->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 ] {{2,},{1,3,},{4,},}	(2->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}	(1->1,2->2,3->3,4->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5) ] {{1,},{2,},{3,},{4,},{5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p4 ] {{1,},{3,},{5,},{2,4,},}	(1->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 ] {{2,},{3,},{4,},{1,5,},{6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2), p1=p2 ] {{1,2,},}	(2->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3), p1=p3 ] {{2,},{1,3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3), p2=p3 ] {{1,},{2,3,},}	(1->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p2=p4 ] {{1,},{3,},{2,4,},}	(1->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p4 ] {{2,},{3,},{1,4,},}	(2->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p3=p4 ] {{1,},{2,},{3,4,},}	(1->1,2->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p5 ] {{2,},{3,},{4,},{1,5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p5 ] {{1,},{3,},{4,},{2,5,},}	(1->4,3->2,4->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p3=p5 ] {{1,},{2,},{4,},{3,5,},}	(1->4,2->2,4->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p4=p5 ] {{1,},{2,},{3,},{4,5,},}	(1->4,2->2,3->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p4=p6 ] {{2,},{3,},{1,5,},{4,6,},}	(2->2,3->3,5->4,6->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()

Hypothesis ()

[INFO][dj., 17 oct. 2013 14:07:02][rmm.cache.rmmCache]

Counterexample ()

input: [access(p1)(3) access(p1)(1) access(p1)(4) access(p1)(0) access(p1)(5) access(p1)(1) access(p1)(6) access(p1)(1) access(p1)(6) access(p1)(2) access(p1)(1) access(p1)(2) access(p1)(6) access(p1)(2) ]

output: [miss() miss() miss() miss() miss() hit() miss() miss() hit() miss() hit() hit() hit() hit() ]

hypout: [miss() miss() miss() miss() miss() hit() miss() miss() hit() miss() hit() hit() miss() hit() ]

[INFO][dj., 17 oct. 2013 14:07:02][rmm.cache.rmmCache]

Data Structure (plain text)

Prefix	Remapping	()[ access(p1) ] {{1,},}	(a1->2)[ access(p1)access(p2) ] {{1,},{2,},}	(a1->1)[ access(p1) ] {{1,},}	()[ ] {}
[ ] {}	()	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1) ] {{1,},} -> miss()	[ ] {} -> null()
[ access(p1) ] {{1,},}	(1->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> miss()
[ access(p1)access(p2) ] {{1,},{2,},}	(1->1,2->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3), p1=p2 ] {{1,2,},{3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}	(1->1,2->2,3->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 ] {{2,},{1,3,},{4,},}	(2->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}	(1->1,2->2,3->3,4->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5) ] {{1,},{2,},{3,},{4,},{5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p4 ] {{1,},{3,},{5,},{2,4,},}	(1->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 ] {{2,},{3,},{4,},{1,5,},{6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2), p1=p2 ] {{1,2,},}	(2->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3), p1=p3 ] {{2,},{1,3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3), p2=p3 ] {{1,},{2,3,},}	(1->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p2=p4 ] {{1,},{3,},{2,4,},}	(1->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p4 ] {{2,},{3,},{1,4,},}	(2->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p3=p4 ] {{1,},{2,},{3,4,},}	(1->1,2->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p5 ] {{2,},{3,},{4,},{1,5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p5 ] {{1,},{3,},{4,},{2,5,},}	(1->4,3->2,4->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p3=p5 ] {{1,},{2,},{4,},{3,5,},}	(1->4,2->2,4->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p4=p5 ] {{1,},{2,},{3,},{4,5,},}	(1->4,2->2,3->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p4=p6 ] {{2,},{3,},{1,5,},{4,6,},}	(2->2,3->3,5->4,6->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5=p6 ] {{2,},{3,},{4,},{1,5,6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()

Hypothesis ()

[INFO][dj., 17 oct. 2013 14:07:05][rmm.cache.rmmCache]

Counterexample ()

input: [access(p1)(0) access(p1)(1) access(p1)(1) access(p1)(0) access(p1)(0) access(p1)(6) access(p1)(0) access(p1)(5) access(p1)(5) access(p1)(1) access(p1)(4) access(p1)(3) access(p1)(1) access(p1)(4) ]

output: [miss() miss() hit() hit() hit() miss() hit() miss() hit() hit() miss() miss() miss() hit() ]

hypout: [miss() miss() hit() miss() hit() miss() hit() miss() hit() miss() miss() miss() hit() miss() ]

[INFO][dj., 17 oct. 2013 14:07:05][rmm.cache.rmmCache]

Data Structure (plain text)

Prefix	Remapping	()[ access(p1) ] {{1,},}	(a1->2)[ access(p1)access(p2) ] {{1,},{2,},}	(a1->1)[ access(p1) ] {{1,},}	()[ ] {}
[ ] {}	()	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1) ] {{1,},} -> miss()	[ ] {} -> null()
[ access(p1) ] {{1,},}	(1->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> miss()
[ access(p1)access(p2) ] {{1,},{2,},}	(1->1,2->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3), p1=p2 ] {{1,2,},{3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}	(1->1,2->2,3->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 ] {{2,},{1,3,},{4,},}	(2->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}	(1->1,2->2,3->3,4->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5) ] {{1,},{2,},{3,},{4,},{5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p4 ] {{1,},{3,},{5,},{2,4,},}	(1->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 ] {{2,},{3,},{4,},{1,5,},{6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> miss()
[ access(p1)access(p2), p1=p2 ] {{1,2,},}	(2->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3), p1=p3 ] {{2,},{1,3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3), p2=p3 ] {{1,},{2,3,},}	(1->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 && p2=p4 ] {{1,3,},{2,4,},}	(3->1,4->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p2=p4 ] {{1,},{3,},{2,4,},}	(1->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p4 ] {{2,},{3,},{1,4,},}	(2->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p3=p4 ] {{1,},{2,},{3,4,},}	(1->1,2->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p5 ] {{2,},{3,},{4,},{1,5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p5 ] {{1,},{3,},{4,},{2,5,},}	(1->4,3->2,4->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p3=p5 ] {{1,},{2,},{4,},{3,5,},}	(1->4,2->2,4->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p4=p5 ] {{1,},{2,},{3,},{4,5,},}	(1->4,2->2,3->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p4=p6 ] {{2,},{3,},{1,5,},{4,6,},}	(2->2,3->3,5->4,6->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5=p6 ] {{2,},{3,},{4,},{1,5,6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()

Hypothesis ()

[INFO][dj., 17 oct. 2013 14:07:08][rmm.cache.rmmCache]

Counterexample ()

input: [access(p1)(6) access(p1)(6) access(p1)(4) access(p1)(3) access(p1)(6) access(p1)(5) access(p1)(2) access(p1)(5) access(p1)(2) access(p1)(6) access(p1)(0) access(p1)(1) access(p1)(3) access(p1)(2) ]

output: [miss() hit() miss() miss() hit() miss() miss() hit() hit() miss() miss() miss() miss() miss() ]

hypout: [miss() hit() miss() miss() hit() miss() miss() hit() hit() hit() miss() miss() miss() miss() ]

[INFO][dj., 17 oct. 2013 14:07:08][rmm.cache.rmmCache]

Data Structure (plain text)

Prefix	Remapping	()[ access(p1) ] {{1,},}	(a1->2)[ access(p1)access(p2) ] {{1,},{2,},}	(a1->1)[ access(p1) ] {{1,},}	()[ ] {}	(a1->5)[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},}
[ ] {}	()	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1) ] {{1,},} -> miss()	[ ] {} -> null()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()
[ access(p1) ] {{1,},}	(1->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()
[ access(p1)access(p2) ] {{1,},{2,},}	(1->1,2->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3), p1=p2 ] {{1,2,},{3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}	(1->1,2->2,3->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 ] {{2,},{1,3,},{4,},}	(2->2,3->1,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}	(1->1,2->2,3->3,4->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5) ] {{1,},{2,},{3,},{4,},{5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p4 ] {{1,},{3,},{5,},{2,4,},}	(1->1,3->3,4->2,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 ] {{2,},{3,},{4,},{1,5,},{6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2), p1=p2 ] {{1,2,},}	(2->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()
[ access(p1)access(p2)access(p3), p1=p3 ] {{2,},{1,3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3), p2=p3 ] {{1,},{2,3,},}	(1->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 && p2=p4 ] {{1,3,},{2,4,},}	(3->1,4->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p2=p4 ] {{1,},{3,},{2,4,},}	(1->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p4 ] {{2,},{3,},{1,4,},}	(2->3,3->2,4->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p3=p4 ] {{1,},{2,},{3,4,},}	(1->1,2->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p5 ] {{2,},{3,},{4,},{1,5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p5 ] {{1,},{3,},{4,},{2,5,},}	(1->4,3->2,4->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p3=p5 ] {{1,},{2,},{4,},{3,5,},}	(1->4,2->1,4->3,5->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p4=p5 ] {{1,},{2,},{3,},{4,5,},}	(1->4,2->1,3->3,5->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p4=p6 ] {{2,},{3,},{1,5,},{4,6,},}	(2->1,3->3,5->4,6->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5=p6 ] {{2,},{3,},{4,},{1,5,6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()

Hypothesis ()

[INFO][dj., 17 oct. 2013 14:07:11][rmm.cache.rmmCache]

Counterexample ()

input: [access(p1)(2) access(p1)(0) access(p1)(4) access(p1)(5) access(p1)(2) access(p1)(6) access(p1)(0) access(p1)(4) access(p1)(5) access(p1)(0) access(p1)(1) access(p1)(3) access(p1)(0) access(p1)(0) ]

output: [miss() miss() miss() miss() hit() miss() hit() hit() hit() hit() miss() miss() miss() hit() ]

hypout: [miss() miss() miss() miss() hit() miss() hit() miss() hit() miss() miss() miss() hit() miss() ]

[INFO][dj., 17 oct. 2013 14:07:11][rmm.cache.rmmCache]

Data Structure (plain text)

Prefix	Remapping	()[ access(p1) ] {{1,},}	(a1->2)[ access(p1)access(p2) ] {{1,},{2,},}	(a1->1)[ access(p1) ] {{1,},}	()[ ] {}	(a1->5)[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},}
[ ] {}	()	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1) ] {{1,},} -> miss()	[ ] {} -> null()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()
[ access(p1) ] {{1,},}	(1->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()
[ access(p1)access(p2) ] {{1,},{2,},}	(1->1,2->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3), p1=p2 ] {{1,2,},{3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}	(1->1,2->2,3->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 ] {{2,},{1,3,},{4,},}	(2->2,3->1,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}	(1->1,2->2,3->3,4->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5) ] {{1,},{2,},{3,},{4,},{5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p4 ] {{1,},{3,},{5,},{2,4,},}	(1->1,3->3,4->2,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 ] {{2,},{3,},{4,},{1,5,},{6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2), p1=p2 ] {{1,2,},}	(2->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()
[ access(p1)access(p2)access(p3), p1=p3 ] {{2,},{1,3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3), p2=p3 ] {{1,},{2,3,},}	(1->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 && p2=p4 ] {{1,3,},{2,4,},}	(3->1,4->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p2=p4 ] {{1,},{3,},{2,4,},}	(1->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p4 ] {{2,},{3,},{1,4,},}	(2->3,3->2,4->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p3=p4 ] {{1,},{2,},{3,4,},}	(1->1,2->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p5 ] {{2,},{3,},{4,},{1,5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p5 ] {{1,},{3,},{4,},{2,5,},}	(1->4,3->2,4->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p3=p5 ] {{1,},{2,},{4,},{3,5,},}	(1->4,2->1,4->3,5->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p4=p5 ] {{1,},{2,},{3,},{4,5,},}	(1->4,2->1,3->3,5->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p4=p6 ] {{2,},{3,},{1,5,},{4,6,},}	(2->1,3->3,5->4,6->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5=p6 ] {{2,},{3,},{4,},{1,5,6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p2=p6 ] {{3,},{4,},{1,5,},{2,6,},}	(3->2,4->3,5->4,6->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()

Hypothesis ()

[INFO][dj., 17 oct. 2013 14:07:14][rmm.cache.rmmCache]

Counterexample ()

input: [access(p1)(1) access(p1)(1) access(p1)(1) access(p1)(1) access(p1)(3) access(p1)(0) access(p1)(0) access(p1)(5) access(p1)(5) access(p1)(2) access(p1)(4) access(p1)(2) access(p1)(2) access(p1)(0) ]

output: [miss() hit() hit() hit() miss() miss() hit() miss() hit() miss() miss() hit() hit() hit() ]

hypout: [miss() hit() miss() hit() miss() miss() hit() miss() hit() miss() miss() hit() miss() miss() ]

[INFO][dj., 17 oct. 2013 14:07:14][rmm.cache.rmmCache]

Data Structure (plain text)

Prefix	Remapping	()[ access(p1) ] {{1,},}	(a1->2)[ access(p1)access(p2) ] {{1,},{2,},}	(a1->1)[ access(p1) ] {{1,},}	()[ ] {}	(a1->5)[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},}
[ ] {}	()	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1) ] {{1,},} -> miss()	[ ] {} -> null()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()
[ access(p1) ] {{1,},}	(1->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()
[ access(p1)access(p2) ] {{1,},{2,},}	(1->1,2->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3), p1=p2 ] {{1,2,},{3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}	(1->1,2->2,3->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 ] {{2,},{1,3,},{4,},}	(2->2,3->1,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}	(1->1,2->2,3->3,4->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5) ] {{1,},{2,},{3,},{4,},{5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p4 ] {{1,},{3,},{5,},{2,4,},}	(1->1,3->3,4->2,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 ] {{2,},{3,},{4,},{1,5,},{6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2), p1=p2 ] {{1,2,},}	(2->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()
[ access(p1)access(p2)access(p3), p1=p2=p3 ] {{1,2,3,},}	(3->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()
[ access(p1)access(p2)access(p3), p1=p3 ] {{2,},{1,3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3), p2=p3 ] {{1,},{2,3,},}	(1->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 && p2=p4 ] {{1,3,},{2,4,},}	(3->1,4->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p2=p4 ] {{1,},{3,},{2,4,},}	(1->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p4 ] {{2,},{3,},{1,4,},}	(2->3,3->2,4->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p3=p4 ] {{1,},{2,},{3,4,},}	(1->1,2->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p5 ] {{2,},{3,},{4,},{1,5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p5 ] {{1,},{3,},{4,},{2,5,},}	(1->4,3->2,4->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p3=p5 ] {{1,},{2,},{4,},{3,5,},}	(1->4,2->1,4->3,5->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p4=p5 ] {{1,},{2,},{3,},{4,5,},}	(1->4,2->1,3->3,5->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p4=p6 ] {{2,},{3,},{1,5,},{4,6,},}	(2->1,3->3,5->4,6->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5=p6 ] {{2,},{3,},{4,},{1,5,6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p2=p6 ] {{3,},{4,},{1,5,},{2,6,},}	(3->2,4->3,5->4,6->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()

Hypothesis ()

[INFO][dj., 17 oct. 2013 14:07:17][rmm.cache.rmmCache]

Counterexample ()

input: [access(p1)(2) access(p1)(2) access(p1)(2) access(p1)(2) access(p1)(6) access(p1)(4) access(p1)(4) access(p1)(1) access(p1)(3) access(p1)(6) access(p1)(3) access(p1)(5) access(p1)(1) access(p1)(6) ]

output: [miss() hit() hit() hit() miss() miss() hit() miss() miss() hit() hit() miss() hit() miss() ]

hypout: [miss() hit() hit() hit() miss() miss() hit() miss() miss() hit() hit() miss() hit() hit() ]

[INFO][dj., 17 oct. 2013 14:07:17][rmm.cache.rmmCache]

Data Structure (plain text)

Prefix	Remapping	()[ access(p1) ] {{1,},}	(a1->2)[ access(p1)access(p2) ] {{1,},{2,},}	(a1->1)[ access(p1) ] {{1,},}	()[ ] {}	(a1->5)[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},}	(a1->7)[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},}
[ ] {}	()	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1) ] {{1,},} -> miss()	[ ] {} -> null()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1) ] {{1,},}	(1->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2) ] {{1,},{2,},}	(1->1,2->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3), p1=p2 ] {{1,2,},{3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}	(1->1,2->2,3->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 ] {{2,},{1,3,},{4,},}	(2->2,3->1,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}	(1->1,2->2,3->3,4->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5) ] {{1,},{2,},{3,},{4,},{5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p4 ] {{1,},{3,},{5,},{2,4,},}	(1->1,3->3,4->2,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 ] {{2,},{3,},{4,},{1,5,},{6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2), p1=p2 ] {{1,2,},}	(2->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2)access(p3), p1=p2=p3 ] {{1,2,3,},}	(3->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2)access(p3), p1=p3 ] {{2,},{1,3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p0=p3=p7 ] {{5,},{2,4,},{1,6,},{0,3,7,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2)access(p3), p2=p3 ] {{1,},{2,3,},}	(1->2,3->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 && p2=p4 ] {{1,3,},{2,4,},}	(3->2,4->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p2=p4 ] {{1,},{3,},{2,4,},}	(1->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p0=p3=p7 ] {{5,},{2,4,},{1,6,},{0,3,7,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p4 ] {{2,},{3,},{1,4,},}	(2->3,3->2,4->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p3=p4 ] {{1,},{2,},{3,4,},}	(1->1,2->3,4->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p5 ] {{2,},{3,},{4,},{1,5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p5 ] {{1,},{3,},{4,},{2,5,},}	(1->4,3->2,4->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p3=p5 ] {{1,},{2,},{4,},{3,5,},}	(1->4,2->1,4->3,5->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p0=p3=p7 ] {{5,},{2,4,},{1,6,},{0,3,7,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p4=p5 ] {{1,},{2,},{3,},{4,5,},}	(1->4,2->1,3->2,5->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p4=p6 ] {{2,},{3,},{1,5,},{4,6,},}	(2->1,3->2,5->4,6->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-3=p3=p7 ] {{5,},{2,4,},{-3,3,7,},{1,6,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5=p6 ] {{2,},{3,},{4,},{1,5,6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-3=p3=p7 ] {{5,},{2,4,},{-3,3,7,},{1,6,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p2=p6 ] {{3,},{4,},{1,5,},{2,6,},}	(3->2,4->3,5->4,6->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-3=p3=p7 ] {{5,},{2,4,},{-3,3,7,},{1,6,},} -> miss()

Hypothesis ()

[INFO][dj., 17 oct. 2013 14:07:20][rmm.cache.rmmCache]

Counterexample ()

input: [access(p1)(2) access(p1)(3) access(p1)(6) access(p1)(1) access(p1)(0) access(p1)(6) access(p1)(3) access(p1)(5) access(p1)(5) access(p1)(0) access(p1)(5) access(p1)(4) access(p1)(4) access(p1)(3) ]

output: [miss() miss() miss() miss() miss() hit() hit() miss() hit() hit() hit() miss() hit() miss() ]

hypout: [miss() miss() miss() miss() miss() hit() hit() miss() hit() miss() hit() miss() hit() miss() ]

[INFO][dj., 17 oct. 2013 14:07:21][rmm.cache.rmmCache]

Data Structure (plain text)

Prefix	Remapping	()[ access(p1) ] {{1,},}	(a1->2)[ access(p1)access(p2) ] {{1,},{2,},}	(a1->1)[ access(p1) ] {{1,},}	()[ ] {}	(a1->5)[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},}	(a1->7)[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},}
[ ] {}	()	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1) ] {{1,},} -> miss()	[ ] {} -> null()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1) ] {{1,},}	(1->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2) ] {{1,},{2,},}	(1->1,2->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3), p1=p2 ] {{1,2,},{3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}	(1->1,2->2,3->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 ] {{2,},{1,3,},{4,},}	(2->2,3->1,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}	(1->1,2->2,3->3,4->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5) ] {{1,},{2,},{3,},{4,},{5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p4 ] {{1,},{3,},{5,},{2,4,},}	(1->1,3->3,4->2,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 ] {{2,},{3,},{4,},{1,5,},{6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2), p1=p2 ] {{1,2,},}	(2->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2)access(p3), p1=p2=p3 ] {{1,2,3,},}	(3->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2)access(p3), p1=p3 ] {{2,},{1,3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p0=p3=p7 ] {{5,},{2,4,},{1,6,},{0,3,7,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2)access(p3), p2=p3 ] {{1,},{2,3,},}	(1->2,3->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 && p2=p4 ] {{1,3,},{2,4,},}	(3->2,4->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p2=p4 ] {{1,},{3,},{2,4,},}	(1->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p0=p3=p7 ] {{5,},{2,4,},{1,6,},{0,3,7,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p4 ] {{2,},{3,},{1,4,},}	(2->3,3->2,4->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p3=p4 ] {{1,},{2,},{3,4,},}	(1->1,2->3,4->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p5 ] {{2,},{3,},{4,},{1,5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p5 ] {{1,},{3,},{4,},{2,5,},}	(1->4,3->2,4->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p3=p5 ] {{1,},{2,},{4,},{3,5,},}	(1->4,2->1,4->3,5->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p0=p3=p7 ] {{5,},{2,4,},{1,6,},{0,3,7,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p4=p5 ] {{1,},{2,},{3,},{4,5,},}	(1->4,2->1,3->2,5->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p4=p6 ] {{2,},{3,},{1,5,},{4,6,},}	(2->1,3->2,5->4,6->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-3=p3=p7 ] {{5,},{2,4,},{-3,3,7,},{1,6,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5=p6 ] {{2,},{3,},{4,},{1,5,6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-3=p3=p7 ] {{5,},{2,4,},{-3,3,7,},{1,6,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p2=p6 ] {{3,},{4,},{1,5,},{2,6,},}	(3->2,4->3,5->4,6->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-3=p3=p7 ] {{5,},{2,4,},{-3,3,7,},{1,6,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p3=p6 ] {{2,},{4,},{1,5,},{3,6,},}	(2->1,4->3,5->4,6->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p0=p3=p7 ] {{5,},{2,4,},{1,6,},{0,3,7,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()

Hypothesis ()

[INFO][dj., 17 oct. 2013 14:07:23][rmm.cache.rmmCache]

Counterexample ()

input: [access(p1)(2) access(p1)(1) access(p1)(6) access(p1)(2) access(p1)(6) access(p1)(1) access(p1)(6) access(p1)(1) access(p1)(2) access(p1)(4) access(p1)(2) access(p1)(5) access(p1)(3) access(p1)(0) ]

output: [miss() miss() miss() hit() hit() hit() hit() hit() hit() miss() hit() miss() miss() miss() ]

hypout: [miss() miss() miss() hit() miss() hit() hit() hit() hit() miss() miss() miss() miss() miss() ]

[INFO][dj., 17 oct. 2013 14:07:23][rmm.cache.rmmCache]

Data Structure (plain text)

Prefix	Remapping	()[ access(p1) ] {{1,},}	(a1->2)[ access(p1)access(p2) ] {{1,},{2,},}	(a1->1)[ access(p1) ] {{1,},}	()[ ] {}	(a1->5)[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},}	(a1->7)[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},}
[ ] {}	()	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1) ] {{1,},} -> miss()	[ ] {} -> null()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1) ] {{1,},}	(1->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2) ] {{1,},{2,},}	(1->1,2->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3), p1=p2 ] {{1,2,},{3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3) ] {{1,},{2,},{3,},}	(1->1,2->2,3->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 ] {{2,},{1,3,},{4,},}	(2->2,3->1,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4) ] {{1,},{2,},{3,},{4,},}	(1->1,2->2,3->3,4->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5) ] {{1,},{2,},{3,},{4,},{5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p4 ] {{1,},{3,},{5,},{2,4,},}	(1->1,3->3,4->2,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 ] {{2,},{3,},{4,},{1,5,},{6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2), p1=p2 ] {{1,2,},}	(2->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2)access(p3), p1=p2=p3 ] {{1,2,3,},}	(3->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2)access(p3), p1=p3 ] {{2,},{1,3,},}	(2->1,3->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p0=p3=p7 ] {{5,},{2,4,},{1,6,},{0,3,7,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2)access(p3), p2=p3 ] {{1,},{2,3,},}	(1->2,3->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p1=p3 && p2=p4 ] {{1,3,},{2,4,},}	(3->2,4->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p2=p4 ] {{1,},{3,},{2,4,},}	(1->1,3->2,4->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p0=p3=p7 ] {{5,},{2,4,},{1,6,},{0,3,7,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4), p1=p4 ] {{2,},{3,},{1,4,},}	(2->3,3->2,4->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4), p3=p4 ] {{1,},{2,},{3,4,},}	(1->1,2->3,4->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p4 && p3=p5 ] {{1,},{2,4,},{3,5,},}	(1->1,4->3,5->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-1=p3=p7 ] {{5,},{2,4,},{1,6,},{-1,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p5 ] {{2,},{3,},{4,},{1,5,},}	(2->1,3->2,4->3,5->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p2=p5 ] {{1,},{3,},{4,},{2,5,},}	(1->4,3->2,4->3,5->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p3=p5 ] {{1,},{2,},{4,},{3,5,},}	(1->4,2->1,4->3,5->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-1=p2 ] {{-1,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p-1=p5 && p2=p4 ] {{-1,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p0=p3=p7 ] {{5,},{2,4,},{1,6,},{0,3,7,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()
[ access(p1)access(p2)access(p3)access(p4)access(p5), p4=p5 ] {{1,},{2,},{3,},{4,5,},}	(1->4,2->1,3->2,5->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-2=p3=p7 ] {{5,},{2,4,},{1,6,},{-2,3,7,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p4=p6 ] {{2,},{3,},{1,5,},{4,6,},}	(2->1,3->2,5->4,6->3)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-3=p3=p7 ] {{5,},{2,4,},{-3,3,7,},{1,6,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5=p6 ] {{2,},{3,},{4,},{1,5,6,},}	(2->1,3->2,4->3,6->4)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-3=p3=p7 ] {{5,},{2,4,},{-3,3,7,},{1,6,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p2=p6 ] {{3,},{4,},{1,5,},{2,6,},}	(3->2,4->3,5->4,6->1)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-3=p2 ] {{1,},{-3,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-3=p1 ] {{-3,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p-3=p5 && p1=p3 && p2=p4 ] {{-3,5,},{1,3,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p-3=p3=p7 ] {{5,},{2,4,},{-3,3,7,},{1,6,},} -> miss()
[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6), p1=p5 && p3=p6 ] {{2,},{4,},{1,5,},{3,6,},}	(2->1,4->3,5->4,6->2)	[ access(p1) ] {{1,},} -> miss()	[ access(p1)access(p2), p-4=p2 ] {{1,},{-4,2,},} -> hit() [ access(p1)access(p2), p-2=p2 ] {{-2,2,},{1,},} -> hit() [ access(p1)access(p2), p0=p2 ] {{1,},{0,2,},} -> hit() [ access(p1)access(p2) ] {{1,},{2,},} -> miss()	[ access(p1), p0=p1 ] {{0,1,},} -> hit() [ access(p1) ] {{1,},} -> miss() [ access(p1), p-4=p1 ] {{-4,1,},} -> hit() [ access(p1), p-2=p1 ] {{-2,1,},} -> hit() [ access(p1), p-1=p1 ] {{-1,1,},} -> hit()	[ ] {} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p0=p5 && p2=p4 ] {{1,3,},{0,5,},{2,4,},} -> hit() [ access(p1)access(p2)access(p3)access(p4)access(p5), p1=p3 && p2=p4 ] {{1,3,},{5,},{2,4,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5), p-2=p5 && p1=p3 && p2=p4 ] {{-2,5,},{1,3,},{2,4,},} -> hit()	[ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p0=p3=p7 ] {{5,},{2,4,},{1,6,},{0,3,7,},} -> miss() [ access(p1)access(p2)access(p3)access(p4)access(p5)access(p6)access(p7), p2=p4 && p1=p6 && p3=p7 ] {{5,},{2,4,},{1,6,},{3,7,},} -> hit()