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Proof step 1460 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))], 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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1461:
0 = fs[ri[inodekey(m0)]].nsubdirs, 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) upto min(n, m2)) ], fs[ri[inodekey(m0)]].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(m0) ∈ ri, ri[inodekey(m0)] ∈ fs, ¬ fs[ri[inodekey(m0)]].directory, asynced → boolvar0, buf-opt0.some? → # buf-opt0.buf = VFS_PAGE_SIZE, ∀ adr, adr0. adr ∈ fs ∨ adr0 ∈ fs ∨ adr = adr0 ⊦ ⟨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) ∧ mkinode(m0, md0, false, fs[ri[inodekey(m0)]].nlink, 0, m2) = inode ∧ ¬ boolvar2 ∧ ENOSPC = err), ⟨fail#(; ; err); asynced := ?⟩ ((asynced → boolvar4) ∧ ENOSPC = err), m2 ≤ n ∧ m2 % VFS_PAGE_SIZE ≠ 0 ∧ (datakey(m0, m2 / VFS_PAGE_SIZE) ∈ ri ∨ buf-opt0.some?), m2 ≤ n ∧ m2 % VFS_PAGE_SIZE ≠ 0

Rule argument

Additional information

Used simplifier rules: ⊦ getinode(ino, dirs, files) = (ino ∈ dirs ⊃ mkinode (ino, dirs[ino].meta, true, dirs[ino].nlink, dirs[ino].nsubdirs, dirs[ino].size) ;mkinode (ino, files[ino].meta, false, files[ino].nlink, 0, files[ino].size) ); (s)%⊦ mkinode(m, md, boolvar, m0, m1, m2) = mkinode(m3, md0, boolvar0, m4, m5, m6) ↔ m = m3 ∧ md = md0 ∧ (boolvar ↔ boolvar0) ∧ m0 = m4 ∧ m1 = m5 ∧ m2 = m6; (ws)