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Proof step 1459 from proof refine-truncate (previous step)

0 = fs[ri[inodekey(m)]].nsubdirs, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri)[m, mkfile(fs[ri[inodekey(m)]].size, fs[ri[inodekey(m)]].meta, fs[ri[inodekey(m)]].nlink, abs-content(m, fs, ri) upto min(n, m2))], fs[ri[inodekey(m)]].inode?, fo.inodes?, orphans(fs, ri).inodes?, 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(m)] ∈ fs, inodekey(m) ∈ ri, ¬ fs[ri[inodekey(m)]].directory, buf-opt0.some? → # buf-opt0.buf = VFS_PAGE_SIZE, asynced → boolvar0, ∀ adr, adr0. adr ∈ fs ∨ adr0 ∈ fs ∨ adr = adr0 ⊦ ⟨fail#(; ; err); asynced := ?⟩ ((asynced → boolvar4) ∧ ENOSPC = err), ⟨afs_inode_sync#(mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, n); dirs, files); inode := getinode(mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2).ino, dirs, files); err := ESUCCESS; asynced := ?⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar4) ∧ mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2) = inode ∧ ¬ boolvar2 ∧ ENOSPC = err), m2 ≤ n ∧ m2 % VFS_PAGE_SIZE ≠ 0, m2 ≤ n ∧ m2 % VFS_PAGE_SIZE ≠ 0 ∧ (datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri ∨ buf-opt0.some?)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 1460:
0 = fs[ri[inodekey(m)]].nsubdirs, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri)[m, mkfile(fs[ri[inodekey(m)]].size, fs[ri[inodekey(m)]].meta, fs[ri[inodekey(m)]].nlink, abs-content(m, fs, ri) upto min(n, m2))], mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2) = mkinode(m0, md0, boolvar, m1, m3, m4), fs[ri[inodekey(m)]].inode?, orphans(fs, ri).inodes?, fo.inodes?, 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(m) ∈ ri, ri[inodekey(m)] ∈ fs, asynced → boolvar0, buf-opt0.some? → # buf-opt0.buf = VFS_PAGE_SIZE, ∀ adr, adr0. adr ∈ fs ∨ adr0 ∈ fs ∨ adr = adr0 ⊦ ⟨fail#(; ; err); asynced := ?⟩ ((asynced → boolvar4) ∧ ENOSPC = err), ⟨afs_inode_sync#(mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, n); dirs, files); inode := getinode(m0, dirs, files); err := ESUCCESS; asynced := ?⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar4) ∧ mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2) = inode ∧ ¬ boolvar2 ∧ ENOSPC = err), fs[ri[inodekey(m)]].directory, m2 ≤ n ∧ m2 % VFS_PAGE_SIZE ≠ 0 ∧ (datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri ∨ buf-opt0.some?), m2 ≤ n ∧ m2 % VFS_PAGE_SIZE ≠ 0

Rule argument

spec: inode name: elim seq: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2) subst: [inode, m, md, boolvar, m0, m1, m2] → [mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2), m0, md0, boolvar, m1, m3, m4]

Additional information

Used simplifier rules: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2); (elim) Used terms: mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2), m0, md0, boolvar, m1, m3, m4