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Theorem inv-unlink

ubifs-cons(fs, ri, ro, fi, fo, log), replay-cons-strong(fs, ri, ro, fi, fo, log), file-node-cons(fs, ri), orphans-cons(fs, ri, ro), ri-inj(ri), ri-inj(fi), log-cons(log, fs), ro.inodes?, fo.inodes?, pre-unlink(p_inode, c_inode, dent, fs, ri, ro) ⊦ ⟪aubifs_unlink#(fi, fo; p_inode, c_inode, dent, err, ri, ro, fs, log, boolvar)⟫ ( ubifs-cons(fs, ri, ro, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro) ∧ ri-inj(ri) ∧ log-cons(log, fs) ∧ ro.inodes?)

Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state: aubifs-refine,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 13
Proof steps: 339
Used lemmas: inode-ubifs-cons, ubifs-cons-dentry-target-not-in-orphans, data-ubifs-cons, elim-data, dentry-ubifs-cons, elim-dentry, at-del-ri, at-ri, in-ri, ubifs-cons-reduce, data-notin-del2, at-fs, unlink,
Used spec theorems:
- set-basic/node-index/Extension
- aubifs-base/in-del-ro
- aubifs-base/at-del-ro-data
- aubifs-base/at-del-ro-nodata
- aubifs-replay/replay-orphans-del
- store+set/node-index/Data-in
- store/node-index/k-Extension
- aubifs-base/in-dels-ro
- aubifs-base/at-dels-ro-data
- aubifs-base/at-dels-ro-nodata
Used simplifier rules:
- aubifs-inv/ubifs-cons-ro-inodes
- aubifs-inv/ubifs-cons-log-cons
- aubifs-inv/ubifs-cons-ri-inj
- dentry/elim
- inode/elim
- inode/sel-01
- nat/elim-pred-c
- nat-basic/one-06
- aubifs-inv/ubifs-in-fs
- list-dup/address-list-set/dups-cons
- aubifs-inv/ubifs-adr-in-ri
- aubifs-inv/inodes-put
- key/test-05
- aubifs-inv/ubifs-parent-in
- key/test-06
- key/test-07
- key/sel-02
- node/elim-02
- set-basic/node-index/in-04
- aubifs-base/links
- node/sel-14
- key/test-04
- key/test-03
- aubifs-inv/datanode-pagesize
- node/test-08
- node/test-09
- node/test-01
- node/test-03
- node/test-14
- nat/lep
- nat-basic/c
- nat-basic/a
- nat-basic/oz
- aubifs-replay/replay-log-one
- aubifs-replay/replay-log-rec
- aubifs-replay/replay-split
- aubifs-replay/replay-safe-one
- aubifs-replay/replay-dentry
- aubifs-replay/replay-ino
- store/node-store/At-other
- store/node-store/in-neq
- aubifs-replay/replay-safe-rec
- aubifs-replay/replay-safe-split
- aubifs-replay/replay
- aubifs-replay/replay-cons-strong-variant1
- set-basic/node-index/size-one-01
- node/test-02
- set-basic/node-index/one-size
- node/elim-03
- aubifs-inv/log-adr-in
- aubifs-replay/replay-orphans-inode
- aubifs-inv/ubifs-cons-notin-dels
- aubifs-replay/replay-log-write
- aubifs-replay/replay-cons-strong-safe
- aubifs-replay/replay-safe-write
- set-basic/node-index/in-03
- set-basic/node-index/add
- set-basic/node-index/in-02
- store/node-index/At-other
- aubifs-base/in-del-ro
- aubifs-inv/file-node-cons-variant1-01
- node/sel-16
- set-basic/node-index/In-insert
- nat/not-zero
- node/test-11
- list/address-list-set/in-append
- aubifs-inv/ri-cons-key
- aubifs-inv/ubifs-log-nodups-add3
- aubifs-inv/ubifs-log-nodups
- aubifs-inv/ubifs-fo-subset
- aubifs-inv/inodes-nodentry
- aubifs-inv/ubifs-ro-subset
- node/sel-11
- key/inodekey-id
- store/node-index/In-insert
- store/node-index/in-neq
- key/test-08
- aubifs-inv/ubifs-file-in
- aubifs-inv/ubifs-file-notdir
- key/sel-03
- key/test-09
- aubifs-inv/inodes-nodata
- key/disj-03
- key/disj-01
- aubifs-base/in-dels-ro
- store/node-index/Del-at
- key/disj-02
- store/node-index/Del-in
- aubifs-replay/orphans-cons-reduce
- set-basic/node-index/size-zero-01
- set-basic/node-index/ne-01
- store/node-store/notmemlookup
- node/sel-15
- aubifs-inv/ri-cons-in
- key/inj-03
- node/test-06
- aubifs-inv/inodekey-cons
- node-store/in-insert
- error/disj-35
- list/address-list-set/Last
- list/address-list-set/a
- aubifs-base/new-rec
- aubifs-base/new-one
- list-dup/address-list-set/rec
- list/address-list-set/in-rec
- list/address-list-set/in-17
- list-dup/address-list-set/two-01
- error-class/not-esuccess
- error-class/ecommit
- root-ino/neq-0
- aubifs-inv/ubifs-cons-ino0
- key/test-01
- aubifs-inv/dentrynode-cons
- node/sel-01
- key/sel-04
- key/test-02
- aubifs-inv/inodenode-cons
- node/sel-05
- aubifs-inv/ubifs-ri-cons
- nat/ge
- aubifs-base/valid-file-ino
- aubifs-pre/valid-file-inode
- aubifs-pre/valid-dir-inode
- set-union/node-index/One
- dentry/sel-04
- aubifs-base/valid-ino
- aubifs-inv/ubifs-parent-dir
- aubifs-base/valid-dir-ino
- aubifs-base/valid-parent-ino
- dentry/test-02
- aubifs-base/valid-dentry-with-parent
- dentry/sel-05
- aubifs-pre/pre-unlink