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Proof step 295 from proof inv-truncate (previous step)

fs0[ri0[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO ↔ inodekey(m) ∈ ro, boolvar ↔ boolvar0, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, adr = adr3, fs = fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n)] [adr3, fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0) ], inode = mkinode(m, md, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, m2), key = datakey(m, m2 / VFS_PAGE_SIZE), log = ((log0 + adr1 ') + adr2 ') + adr3 ', nd = fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0), nd0 = inodenode(inodekey(m), md, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n), ri = ri0[key, adr], fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data?, fs0[ri0[inodekey(m)]].inode?, ro.inodes?, fo.inodes?, file-node-cons(fs0, ri0), key-cons(key, fs[adr]), log-cons(log0, fs0), node-cons ((fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0)).key, fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0)), orphans-cons(fs0, ri0, ro), replay-cons-strong(fs0, ri0, ro, fi, fo, log0), ri-cons(ri0, fs0), ri-inj(ri0), ri-inj(fi), ubifs-cons(fs0, ri0, ro, fi, fo, log0), adr ∈ fs, inodekey(m) ∈ ri0, ri0[inodekey(m)] ∈ fs0, datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri0, ri0[datakey(m, m2 / VFS_PAGE_SIZE)] ∈ fs0, m2 ≤ n, ¬ adr ∈ ri0 → adr ∈ fs → adr ∈ fs ⊦ ⟪aubifs_core_index_store#(inodekey(m), adr2, fi, ro, fo, fs, ((log0 + adr1 ') + adr2 ') + adr3 ', boolvar0; ri); aubifs_core_index_truncate#(inodekey(m), m2, fi, ro, fo, fs, ((log0 + adr1 ') + adr2 ') + adr3 ', 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, ((log0 + adr1 ') + adr2 ') + adr3 ') ∧ replay-cons-strong(fs, ri, ro, fi, fo, ((log0 + adr1 ') + adr2 ') + adr3 ') ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro)), m2 % VFS_PAGE_SIZE = 0, VFS_PAGE_SIZE = 0, adr1 = adr3, adr1 = adr2, adr2 = adr3, m = 0, fs0[ri0[inodekey(m)]].directory, buf-opt.some?, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0, adr ∈ ri0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 296:
(fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0)).key = datakey(m, m2 / VFS_PAGE_SIZE), fs0[ri0[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO ↔ inodekey(m) ∈ ro, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, ri = ri0[datakey(m, m2 / VFS_PAGE_SIZE), adr3], m2 % VFS_PAGE_SIZE ≠ 0, adr1 ≠ adr2, adr1 ≠ adr3, adr2 ≠ adr3, m ≠ 0, fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data?, (fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0)).data?, fs0[ri0[inodekey(m)]].inode?, fo.inodes?, ro.inodes?, file-node-cons(fs0, ri0), log-cons(log0, fs0), node-cons (datakey(m, m2 / VFS_PAGE_SIZE), fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0)), orphans-cons(fs0, ri0, ro), replay-cons-strong(fs0, ri0, ro, fi, fo, log0), ri-cons(ri0, fs0), ri-inj(fi), ri-inj(ri0), ubifs-cons(fs0, ri0, ro, fi, fo, log0), ri0[datakey(m, m2 / VFS_PAGE_SIZE)] ∈ fs0, datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri0, ri0[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri0, m2 ≤ n, ¬ fs0[ri0[inodekey(m)]].directory, ¬ buf-opt.some?, ¬ adr3 ∈ ri0, ¬ adr3 ∈ fs0, ¬ adr2 ∈ fs0, ¬ adr1 ∈ fs0 ⊦ ⟪aubifs_core_index_store# (inodekey(m), adr2, fi, ro, fo, fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n)] [adr3, fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0) ], ((log0 + adr1 ') + adr2 ') + adr3 ', boolvar0 ; ri); aubifs_core_index_truncate# (inodekey(m), m2, fi, ro, fo, fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n)] [adr3, fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0) ], ((log0 + adr1 ') + adr2 ') + adr3 ', boolvar0 ; ri); boolvar1 := true; inode := mkinode (mkinode(m, md, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, m2).ino, inodenode(inodekey(m), md, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n).meta, inodenode(inodekey(m), md, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n).directory, inodenode(inodekey(m), md, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n).nlink, inodenode(inodekey(m), md, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n).nsubdirs, inodenode(inodekey(m), md, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n).size); if boolvar1 then buf-opt := some ((fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0)).data)⟫ ( ubifs-cons (fs0[adr1, truncnode(inodekey(m), m2)] [adr2, inodenode(inodekey(m), md, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n) ] [adr3, fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0) ], ri, ro, fi, fo, ((log0 + adr1 ') + adr2 ') + adr3 ') ∧ replay-cons-strong (fs0[adr1, truncnode(inodekey(m), m2)] [adr2, inodenode(inodekey(m), md, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n) ] [adr3, fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0) ], ri, ro, fi, fo, ((log0 + adr1 ') + adr2 ') + adr3 ') ∧ file-node-cons (fs0[adr1, truncnode(inodekey(m), m2)] [adr2, inodenode(inodekey(m), md, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n) ] [adr3, fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0) ], ri) ∧ orphans-cons (fs0[adr1, truncnode(inodekey(m), m2)] [adr2, inodenode(inodekey(m), md, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n) ] [adr3, fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri0[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0) ], ri, ro))

Rule argument

Additional information

Used simplifier rules: at-fs: ⊦ fs[adr0, nd][adr1] = (adr0 = adr1 ⊃ nd;fs[adr1]);%ubifs-file-in: ⊦ datakey(ino, n) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → inodekey(ino) ∈ ri; (forward) from specification aubifs-inv%ubifs-file-notdir: ⊦ datakey(ino, n) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → ¬ fs[ri[inodekey(ino)]].directory; (forward) from specification aubifs-inv% ⊦ key-cons(datakey(ino, n), nd) ↔ nd.data? ∧ nd.key = datakey(ino, n); (s)% ⊦ adr ∈ fs[adr1, nd] ↔ adr = adr1 ∨ adr ∈ fs; (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)