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Proof step 336 from proof refine-truncate (previous step)

# buf-opt0.buf = VFS_PAGE_SIZE, 0 = fs[ri[inodekey(m0)]].nsubdirs, VFS_PAGE_SIZE = n1 + m2 % VFS_PAGE_SIZE, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri) [m0, mkfile (fs[ri[inodekey(m0)]].size, fs[ri[inodekey(m0)]].meta, fs[ri[inodekey(m0)]].nlink, abs-content(m0, fs, ri)[m2 / VFS_PAGE_SIZE, fill(buf-opt0.buf, zero, m2 % VFS_PAGE_SIZE, n1)] upto m2) ], m2 % VFS_PAGE_SIZE ≠ 0, fs[ri[inodekey(m0)]].inode?, fo.inodes?, orphans(fs, ri).inodes?, buf-opt0.some?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), ri[inodekey(m0)] ∈ fs, inodekey(m0) ∈ ri, m2 ≤ n, ¬ fs[ri[inodekey(m0)]].directory, asynced → boolvar0, ∀ adr1, adr2, adr3. adr1 ∈ fs ∨ adr2 ∈ fs ∨ adr3 ∈ fs ∨ adr1 = adr2 ∨ adr1 = adr3 ∨ adr2 = adr3 ⊦ ⟨afs_inode_sync#(mkinode(m0, md0, false, fs[ri[inodekey(m0)]].nlink, 0, n); dirs, files); inode := (m0 ∈ dirs ⊃ mkinode(m0, dirs[m0].meta, true, dirs[m0].nlink, dirs[m0].nsubdirs, dirs[m0].size) ;mkinode(m0, files[m0].meta, false, files[m0].nlink, 0, files[m0].size) ); err := ESUCCESS; asynced := ?⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar4) ∧ buf-opt0 = some(fill(buf-opt0.buf, zero, m2 % VFS_PAGE_SIZE, n1)) ∧ mkinode(m0, md0, false, fs[ri[inodekey(m0)]].nlink, 0, m2) = inode ∧ boolvar2 ∧ ENOSPC = err), ⟨fail#(; ; err); asynced := ?⟩ ((asynced → boolvar4) ∧ ENOSPC = err)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 337:
# buf-opt0.buf = VFS_PAGE_SIZE, 0 = m1, VFS_PAGE_SIZE = n1 + m2 % VFS_PAGE_SIZE, fs[ri[inodekey(m0)]] = inodenode(key, md, boolvar, m, m1, m3), ¬ boolvar, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri)[m0, mkfile(m3, md, m, abs-content(m0, fs, ri)[m2 / VFS_PAGE_SIZE, fill(buf-opt0.buf, zero, m2 % VFS_PAGE_SIZE, n1)] upto m2)], fs[ri[inodekey(m0)]].inode?, orphans(fs, ri).inodes?, fo.inodes?, buf-opt0.some?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(m0) ∈ ri, ri[inodekey(m0)] ∈ fs, m2 ≤ n, asynced → boolvar0, ∀ adr1, adr2, adr3. adr1 ∈ fs ∨ adr2 ∈ fs ∨ adr3 ∈ fs ∨ adr1 = adr2 ∨ adr1 = adr3 ∨ adr2 = adr3 ⊦ ⟨afs_inode_sync#(mkinode(m0, md0, false, m, 0, n); dirs, files); inode := (m0 ∈ dirs ⊃ mkinode(m0, dirs[m0].meta, true, dirs[m0].nlink, dirs[m0].nsubdirs, dirs[m0].size) ;mkinode(m0, files[m0].meta, false, files[m0].nlink, 0, files[m0].size) ); err := ESUCCESS; asynced := ?⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar4) ∧ buf-opt0 = some(fill(buf-opt0.buf, zero, m2 % VFS_PAGE_SIZE, n1)) ∧ mkinode(m0, md0, false, m, 0, m2) = inode ∧ boolvar2 ∧ ENOSPC = err), ⟨fail#(; ; err); asynced := ?⟩ ((asynced → boolvar4) ∧ ENOSPC = err), m2 % VFS_PAGE_SIZE = 0

Rule argument

spec: node name: elim-03 seq: ⊦ nd.inode? → ( ( ( ( (key = nd.key ∧ md = nd.meta) ∧ (boolvar ↔ nd.directory)) ∧ m = nd.nlink) ∧ m0 = nd.nsubdirs) ∧ m1 = nd.size ↔ nd = inodenode(key, md, boolvar, m, m0, m1)) subst: [nd, key, md, boolvar, m, m0, m1] → [fs[ri[inodekey(m0)]], key, md, boolvar, m, m1, m3]

Additional information

Used simplifier rules: ⊦ nd.inode? → ( ( ( ( (key = nd.key ∧ md = nd.meta) ∧ (boolvar ↔ nd.directory)) ∧ m = nd.nlink) ∧ m0 = nd.nsubdirs) ∧ m1 = nd.size ↔ nd = inodenode(key, md, boolvar, m, m0, m1)); (elim) Used terms: fs[ri[inodekey(m0)]], key, md, boolvar, m, m1, m3