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Proof step 278 from proof inv-truncate (previous step)

fs[ri[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO ↔ inodekey(m) ∈ ro, boolvar, err = ESUCCESS, inode = mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, m2), nd = nd1 .data:= fill (nd1.data, zero, mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, m2).size % VFS_PAGE_SIZE, VFS_PAGE_SIZE - mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, m2).size % VFS_PAGE_SIZE), nd0 = inodenode(inodekey(m), md, false, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, n), nd1 = fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]], nd1.data?, fs[ri[inodekey(m)]].inode?, fo.inodes?, ro.inodes?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-cons(ri, fs), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, ro, fi, fo, log), ri[datakey(m, m2 / VFS_PAGE_SIZE)] ∈ fs, datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri, ri[inodekey(m)] ∈ fs, inodekey(m) ∈ ri, m2 ≤ n, mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, m2).size % VFS_PAGE_SIZE + (VFS_PAGE_SIZE - mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, m2).size % VFS_PAGE_SIZE) ≤ # nd1.data, VFS_PAGE_SIZE ≥ mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, m2).size % VFS_PAGE_SIZE ⊦ ⟪aubifs_core_journal_add3#(truncnode(inodekey(m), min(n, m2)), nd0, nd, ri, fi, ro, fo; adr1, adr0, adr, fs, log; boolvar0, err); if err = ESUCCESS then aubifs_core_index_store#(datakey(m, m2 / VFS_PAGE_SIZE), adr, fi, ro, fo, fs, log, boolvar0; ri); if err = ESUCCESS then {aubifs_core_index_store#(inodekey(m), adr0, fi, ro, fo, fs, log, boolvar0; ri); aubifs_core_index_truncate#(inodekey(m), m2, fi, ro, fo, fs, log, boolvar0; ri); boolvar1 := boolvar; inode := mkinode(inode.ino, nd0.meta, nd0.directory, nd0.nlink, nd0.nsubdirs, nd0.size); if boolvar1 then buf-opt := some(nd.data)}⟫ (ubifs-cons(fs, ri, ro, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro)), m2 % VFS_PAGE_SIZE = 0, VFS_PAGE_SIZE = 0, fs[ri[inodekey(m)]].directory, buf-opt.some?

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 279:
fs[ri[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO ↔ inodekey(m) ∈ ro, inode = mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, m2), nd = fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]] .data:= fill(fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, VFS_PAGE_SIZE - m2 % VFS_PAGE_SIZE), nd0 = inodenode(inodekey(m), md, false, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, n), m2 % VFS_PAGE_SIZE ≠ 0, fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data?, fs[ri[inodekey(m)]].inode?, ro.inodes?, fo.inodes?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-cons(ri, fs), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, ro, fi, fo, log), inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs, datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri, ri[datakey(m, m2 / VFS_PAGE_SIZE)] ∈ fs, m2 ≤ n, ¬ fs[ri[inodekey(m)]].directory, ¬ buf-opt.some? ⊦ ⟪aubifs_core_journal_add3#(truncnode(inodekey(m), m2), nd0, nd, ri, fi, ro, fo; adr1, adr0, adr, fs, log; boolvar0, err); if err = ESUCCESS then aubifs_core_index_store#(datakey(m, m2 / VFS_PAGE_SIZE), adr, fi, ro, fo, fs, log, boolvar0; ri); if err = ESUCCESS then {aubifs_core_index_store#(inodekey(m), adr0, fi, ro, fo, fs, log, boolvar0; ri); aubifs_core_index_truncate#(inodekey(m), m2, fi, ro, fo, fs, log, boolvar0; ri); boolvar1 := true; inode := mkinode(inode.ino, nd0.meta, nd0.directory, nd0.nlink, nd0.nsubdirs, nd0.size); if boolvar1 then buf-opt := some(nd.data)}⟫ (ubifs-cons(fs, ri, ro, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro))

Rule argument

Additional information

Used simplifier rules: min-comm: ⊦ min(n0, n1) = min(n1, n0); from specification min-max% ⊦ n0 ≤ n1 → min(n0, n1) = n0; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m ≤ m; (s)% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)%n ≤ m ⊦ (m - n) + m0 ≤ n0 ↔ m + m0 ≤ n0 + n; (s)%⊦ datakey(m, n) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → # fs[ri[datakey(m, n)]].data = VFS_PAGE_SIZE; (s)%n ≠ 0 ⊦ m % n ≤ n; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)