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Proof step 358 from proof refine-truncate (previous step)

# buf-opt0.buf = VFS_PAGE_SIZE, VFS_PAGE_SIZE = n1 + m2 % VFS_PAGE_SIZE, fs[ri[inodekey(m0)]] = inodenode(key, md, false, m, 0, m3), 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)], ino = inode.ino, inode = mkinode(m0, md0, false, m, 0, n), 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, ino ∈ dirs, m2 ≤ n, asynced → boolvar0, ∀ adr1, adr2, adr3. adr1 ∈ fs ∨ adr2 ∈ fs ∨ adr3 ∈ fs ∨ adr1 = adr2 ∨ adr1 = adr3 ∨ adr2 = adr3 ⊦ ⟨asynced := ?⟩ ( dirs[ino, dirs[ino].meta:= inode.meta] = 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) = (m0 ∈ dirs[ino, dirs[ino].meta:= inode.meta] ⊃ mkinode (m0, dirs[ino, dirs[ino].meta:= inode.meta][m0].meta, true, dirs[ino, dirs[ino].meta:= inode.meta][m0].nlink, dirs[ino, dirs[ino].meta:= inode.meta][m0].nsubdirs, dirs[ino, dirs[ino].meta:= inode.meta][m0].size) ;mkinode(m0, files[m0].meta, false, files[m0].nlink, 0, files[m0].size) ) ∧ boolvar2 ∧ ENOSPC = ESUCCESS), ∃ err0. ⌊err0⌋ ∧ ⟨err := err0; asynced := ?⟩ ((asynced → boolvar4) ∧ ENOSPC = err), m2 % VFS_PAGE_SIZE = 0, ino ∈ files

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%⊦ ino ∈ abs-dirs(fs, ri) ↔ inodekey(ino) ∈ ri ∧ fs[ri[inodekey(ino)]].directory; (s)% ⊦ ino ∈ files[ino0, af] ↔ ino ∈ files; (s)%⊦ ino ∈ abs-files(fs, ri) ↔ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory; (s)%⊦ inodekey(ino) ∈ ri ∧ fs[ri[inodekey(ino)]].directory → abs-dirs(fs, ri)[ino] = abs-dir(ino, fs, ri); (s)%⊦ abs-dir(ino, fs, ri) = mkdir (fs[ri[inodekey(ino)]].size, fs[ri[inodekey(ino)]].meta, fs[ri[inodekey(ino)]].nlink, fs[ri[inodekey(ino)]].nsubdirs, abs-children(ino, fs, ri)); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).meta = md; (s)%⊦ mkdir(m, md, m0, m1, entries).meta:= md0 = mkdir(m, md0, m0, m1, entries); (s)% ⊦ ino ∈ dirs[ino0, ad] ↔ ino ∈ dirs; (s)% ⊦ dirs[ino, ad][ino0] = (ino0 = ino ∧ ino ∈ dirs ⊃ ad;dirs[ino0]); (s)% ⊦ mkdir(m, md, m0, m1, entries).meta = md; (s)% ⊦ mkdir(m, md, m0, m1, entries).nlink = m0; (s)% ⊦ mkdir(m, md, m0, m1, entries).nsubdirs = m1; (s)% ⊦ mkdir(m, md, m0, m1, entries).size = m; (s)% ⊦ ESUCCESS ≠ ENOSPC; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).directory ↔ boolvar; (s)