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Proof step 536 from proof inv-truncate (previous step)

boolvar0 ↔ boolvar, fs[ri[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO ↔ inodekey(m) ∈ ro, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, err = err0, nd0 = inodenode(inodekey(m), md, false, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, n), fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data?, fs[ri[inodekey(m)]].inode?, fo.inodes?, ro.inodes?, file-node-cons(fs, ri), log-cons(log, fs), node-cons ((fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0)).key, fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0)), 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, ⌊err0⌋ ⊦ ⟪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, n0); inode := mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, m2); 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)), m2 % VFS_PAGE_SIZE = 0, m = 0, fs[ri[inodekey(m)]].directory, buf-opt.some?

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 537:
fs[ri[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO ↔ inodekey(m) ∈ ro, boolvar0 ↔ boolvar, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, err = err0, 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, n0), nd0 = inodenode(inodekey(m), md, false, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, n), 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), node-cons ((fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0)).key, fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0)), 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, ri[datakey(m, m2 / VFS_PAGE_SIZE)] ∈ fs, datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri, m2 ≤ n, m2 % VFS_PAGE_SIZE + n0 ≤ # fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data, ⌊err0⌋ ⊦ ⟪inode := mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, m2); 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)), m2 % VFS_PAGE_SIZE = 0, VFS_PAGE_SIZE = 0, m = 0, fs[ri[inodekey(m)]].directory, buf-opt.some?

Rule argument

Additional information

Used simplifier rules: data-ubifs-cons: ⊦ datakey(ino, n) ∈ ri ∧ ri[datakey(ino, n)] ∈ fs ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → fs[ri[datakey(ino, n)]].data?;% ⊦ key ∈ ri ∧ ri-cons(ri, fs) → ri[key] ∈ fs; (ss)%⊦ datakey(m, n) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → # fs[ri[datakey(m, n)]].data = VFS_PAGE_SIZE; (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)%c: ⊦ m + n = n + m; from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ m < n → ¬ n < m; (s)