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Proof step 114 from proof fsync-inode-inv (previous step)

# content2[m10] = VFS_PAGE_SIZE, (m6 = m1 ⊃ mkfile(m4, md, # links(m1, dirs), content0);files[m6]) = mkfile(m2, md3, m3, content1), files[m] = mkfile(m0, md0, # links(m, dirs), content), files[m1] = mkfile(m5, md1, # links(m1, dirs), content0), dirs[m1] = mkdir(m7, md2, m8, m9, entries), icache[m] = mkientry(true, mkinode(m1, md, false, # links(m1, dirs), 0, m4)), pcache[datakey(m6, m10)] = mkpentry(false, content2[m10]), files[m6] = mkfile(m11, md4, m12, content2), afs-cons(dirs, files), afs-cons(dirs, files[m1, mkfile(m4, md, # links(m1, dirs), content0)]), synced(dirs, icache, pcache), m6 ∈ files, m1 ∈ files, m ∈ icache, m ∈ files, datakey(m6, m10) ∈ pcache, m10 ∈ content2, ∀ key0. key0 ∈ pcache → key0.data? ∧ # pcache[key0].page = VFS_PAGE_SIZE ∧ key0.ino ∈ files ∧ (¬ pcache[key0].dirty → key0.part ∈ files[key0.ino].content ∧ pcache[key0].page = files[key0.ino].content[key0.part]) ⊦ m10 ∈ content1 ∧ content2[m10] = content1[m10]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 115:
(m6 = m1 ⊃ mkfile(m4, md, # links(m1, dirs), content0);mkfile(m11, md4, # links(m6, dirs), content2)) = mkfile(m2, md3, m3, content1), files[m] = mkfile(m0, md0, # links(m, dirs), content), files[m1] = mkfile(m5, md1, # links(m1, dirs), content0), dirs[m1] = mkdir(m7, md2, m8, m9, entries), icache[m] = mkientry(true, mkinode(m1, md, false, # links(m1, dirs), 0, m4)), pcache[datakey(m6, m10)] = mkpentry(false, content2[m10]), files[m6] = mkfile(m11, md4, # links(m6, dirs), content2), afs-cons(dirs, files), afs-cons(dirs, files[m1, mkfile(m4, md, # links(m1, dirs), content0)]), synced(dirs, icache, pcache), m6 ∈ files, m1 ∈ files, m ∈ icache, m ∈ files, datakey(m6, m10) ∈ pcache, m10 ∈ content2, ∀ key0. key0 ∈ pcache → key0.data? ∧ # pcache[key0].page = VFS_PAGE_SIZE ∧ key0.ino ∈ files ∧ (¬ pcache[key0].dirty → key0.part ∈ files[key0.ino].content ∧ pcache[key0].page = files[key0.ino].content[key0.part]) ⊦ m10 ∈ content1 ∧ content2[m10] = content1[m10]

Rule argument

Additional information

Used simplifier rules: afs-cons-file-nlink: ⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n, content) → # links(ino, dirs) = n; (forward) from specification afs-base%⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n0, content) ∧ n ∈ content → # content[n] = VFS_PAGE_SIZE; (s)