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Proof step 511 from proof inv-truncate (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 512:
fs0[ri[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO ↔ inodekey(m) ∈ ro, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, fs0[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data?, fs0[ri[inodekey(m)]].inode?, fo.inodes?, ro.inodes?, file-node-cons(fs0, ri), log-cons(log0, fs0), node-cons ((fs0[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0)).key, fs0[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0)), orphans-cons(fs0, ri, ro), replay-cons-strong(fs0, ri, ro, fi, fo, log0), ri-cons(ri, fs0), ri-inj(fi), ri-inj(ri), ubifs-cons(fs0, ri, ro, fi, fo, log0), ri[datakey(m, m2 / VFS_PAGE_SIZE)] ∈ fs0, datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri, ri[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri, m2 ≤ n ⊦ m2 % VFS_PAGE_SIZE = 0, adr1 = adr2, adr1 = adr3, adr2 = adr3, m = 0, fs0[ri[inodekey(m)]].directory, buf-opt.some?, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, adr3 ∈ ri, (fs0[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0)).key = datakey(m, m2 / VFS_PAGE_SIZE) ∧ (fs0[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data, zero, m2 % VFS_PAGE_SIZE, n0)).data?

Rule argument

Additional information

Used simplifier rules: at-fs: ⊦ fs[adr0, nd][adr1] = (adr0 = adr1 ⊃ nd;fs[adr1]);% ⊦ adr ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → adr ∈ fs; (ss)% ⊦ 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)