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Proof step 356 from proof inv-truncate (previous step)

m = 0 ∧ ino ≠ ROOT_INO ↔ inodekey(ino) ∈ ro, VFS_PAGE_SIZE = n0 + m4 % VFS_PAGE_SIZE, fs0[ri0[datakey(ino, m4 / VFS_PAGE_SIZE)]] = datanode(datakey(ino, m4 / VFS_PAGE_SIZE), buf0), fs0[ri0[inodekey(ino)]] = inodenode(key1, md, false, m, m1, m2), datakey(ino, m4 / VFS_PAGE_SIZE) = datakey(ino, n), fs0[ri0[datakey(ino, n)]].data?, ro.inodes?, fo.inodes?, n * VFS_PAGE_SIZE < m4, n * VFS_PAGE_SIZE < n1, file-node-cons(fs0, ri0), log-cons(log0, fs0), 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), ri0[inodekey(ino)] ∈ fs0, datakey(ino, m4 / VFS_PAGE_SIZE) ∈ ri0, ri0[datakey(ino, m4 / VFS_PAGE_SIZE)] ∈ fs0, ri0[datakey(ino, n)] ∈ fs0, datakey(ino, n) ∈ ri0, inodekey(ino) ∈ ri0, m4 ≤ n1, ro ⊆ dom ri0 ⊦ # (adr3 = (datakey(ino, m4 / VFS_PAGE_SIZE) = datakey(ino, n) ⊃ adr3;ri0[datakey(ino, n)]) ⊃ datanode(datakey(ino, m4 / VFS_PAGE_SIZE), fill(buf0, zero, m4 % VFS_PAGE_SIZE, n0)) ;(adr2 = (datakey(ino, m4 / VFS_PAGE_SIZE) = datakey(ino, n) ⊃ adr3;ri0[datakey(ino, n)]) ⊃ inodenode(inodekey(ino), md0, false, m, m1, n1) ;(adr1 = (datakey(ino, m4 / VFS_PAGE_SIZE) = datakey(ino, n) ⊃ adr3;ri0[datakey(ino, n)]) ⊃ truncnode(inodekey(ino), m4) ;fs0[(datakey(ino, m4 / VFS_PAGE_SIZE) = datakey(ino, n) ⊃ adr3;ri0[datakey(ino, n)])] ) ) ) .data = VFS_PAGE_SIZE, m4 % VFS_PAGE_SIZE = 0, adr1 = adr2, adr1 = adr3, adr2 = adr3, ino = 0, buf-opt.some?, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0, adr3 ∈ ri0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 357:
m = 0 ∧ ino ≠ ROOT_INO ↔ inodekey(ino) ∈ ro, VFS_PAGE_SIZE = n0 + m4 % VFS_PAGE_SIZE, fs0[ri0[inodekey(ino)]] = inodenode(key1, md, false, m, m1, m2), fs0[ri0[datakey(ino, m4 / VFS_PAGE_SIZE)]] = datanode(datakey(ino, m4 / VFS_PAGE_SIZE), buf0), fo.inodes?, ro.inodes?, m4 / VFS_PAGE_SIZE * VFS_PAGE_SIZE < n1, m4 / VFS_PAGE_SIZE * VFS_PAGE_SIZE < m4, file-node-cons(fs0, ri0), log-cons(log0, fs0), 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), inodekey(ino) ∈ ri0, ri0[datakey(ino, m4 / VFS_PAGE_SIZE)] ∈ fs0, datakey(ino, m4 / VFS_PAGE_SIZE) ∈ ri0, ri0[inodekey(ino)] ∈ fs0, m4 ≤ n1, ro ⊆ dom ri0 ⊦ # buf0 = VFS_PAGE_SIZE, m4 % VFS_PAGE_SIZE = 0, adr1 = adr3, adr1 = adr2, adr2 = adr3, ino = 0, buf-opt.some?, adr3 ∈ ri0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0

Rule argument

Additional information

Used simplifier rules: ⊦ datanode(key, buf).data?; (s)%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat% ⊦ # fill(buf, d, m, n) = # buf; (s)% ⊦ datanode(key, buf).data = buf; (s)% ⊦ datakey(m, m0) = datakey(m1, m2) ↔ m = m1 ∧ m0 = m2; (ws)