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Proof step 365 from proof inv-truncate (previous step)

m = 0 ∧ m0 ≠ ROOT_INO ↔ inodekey(m0) ∈ ro, VFS_PAGE_SIZE = n0 + m4 % VFS_PAGE_SIZE, fs0[ri0[inodekey(m0)]] = inodenode(key1, md, false, m, m1, m2), fs0[ri0[datakey(m0, m4 / VFS_PAGE_SIZE)]] = datanode(datakey(m0, m4 / VFS_PAGE_SIZE), buf0), fs0[ri0[datakey(ino, n)]].data?, fo.inodes?, ro.inodes?, 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, datakey(ino, n) ∈ ri0, ri0[datakey(ino, n)] ∈ fs0, ri0[datakey(m0, m4 / VFS_PAGE_SIZE)] ∈ fs0, datakey(m0, m4 / VFS_PAGE_SIZE) ∈ ri0, ri0[inodekey(m0)] ∈ fs0, inodekey(m0) ∈ ri0, m4 ≤ n1, ro ⊆ dom ri0 ⊦ m4 % VFS_PAGE_SIZE = 0, adr1 = adr2, adr1 = adr3, adr1 = ri0[inodekey(ino)], adr2 = adr3, adr3 = ri0[inodekey(ino)], datakey(m0, m4 / VFS_PAGE_SIZE) = datakey(ino, n), m0 = 0, m0 = ino, fs0[ri0[inodekey(ino)]].directory, buf-opt.some?, adr3 ∈ ri0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, (adr3 = (datakey(m0, m4 / VFS_PAGE_SIZE) = datakey(ino, n) ⊃ adr3;ri0[datakey(ino, n)]) ⊃ datanode(datakey(m0, m4 / VFS_PAGE_SIZE), fill(buf0, zero, m4 % VFS_PAGE_SIZE, n0)) ;(adr2 = (datakey(m0, m4 / VFS_PAGE_SIZE) = datakey(ino, n) ⊃ adr3;ri0[datakey(ino, n)]) ⊃ inodenode(inodekey(m0), md0, false, m, m1, n1) ;(adr1 = (datakey(m0, m4 / VFS_PAGE_SIZE) = datakey(ino, n) ⊃ adr3;ri0[datakey(ino, n)]) ⊃ truncnode(inodekey(m0), m4) ;fs0[(datakey(m0, m4 / VFS_PAGE_SIZE) = datakey(ino, n) ⊃ adr3;ri0[datakey(ino, n)])] ) ) ) .data? ∧ ¬ (adr2 = ri0[inodekey(ino)] ⊃ inodenode(inodekey(m0), md0, false, m, m1, n1);fs0[ri0[inodekey(ino)]]).directory ∧ # (adr3 = (datakey(m0, m4 / VFS_PAGE_SIZE) = datakey(ino, n) ⊃ adr3;ri0[datakey(ino, n)]) ⊃ datanode(datakey(m0, m4 / VFS_PAGE_SIZE), fill(buf0, zero, m4 % VFS_PAGE_SIZE, n0)) ;(adr2 = (datakey(m0, m4 / VFS_PAGE_SIZE) = datakey(ino, n) ⊃ adr3;ri0[datakey(ino, n)]) ⊃ inodenode(inodekey(m0), md0, false, m, m1, n1) ;(adr1 = (datakey(m0, m4 / VFS_PAGE_SIZE) = datakey(ino, n) ⊃ adr3;ri0[datakey(ino, n)]) ⊃ truncnode(inodekey(m0), m4) ;fs0[(datakey(m0, m4 / VFS_PAGE_SIZE) = datakey(ino, n) ⊃ adr3;ri0[datakey(ino, n)])] ) ) ) .data = VFS_PAGE_SIZE

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 366:
m = 0 ∧ m0 ≠ ROOT_INO ↔ inodekey(m0) ∈ ro, VFS_PAGE_SIZE = n0 + m4 % VFS_PAGE_SIZE, fs0[ri0[datakey(m0, m4 / VFS_PAGE_SIZE)]] = datanode(datakey(m0, m4 / VFS_PAGE_SIZE), buf0), fs0[ri0[inodekey(m0)]] = inodenode(key1, md, false, m, m1, m2), fs0[ri0[datakey(ino, n)]].data?, (adr2 = ri0[inodekey(ino)] ⊃ inodenode(inodekey(m0), md0, false, m, m1, n1);fs0[ri0[inodekey(ino)]]).directory, ro.inodes?, fo.inodes?, 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), inodekey(m0) ∈ ri0, ri0[inodekey(m0)] ∈ fs0, datakey(m0, m4 / VFS_PAGE_SIZE) ∈ ri0, ri0[datakey(m0, m4 / VFS_PAGE_SIZE)] ∈ fs0, ri0[datakey(ino, n)] ∈ fs0, datakey(ino, n) ∈ ri0, inodekey(ino) ∈ ri0, m4 ≤ n1, ro ⊆ dom ri0 ⊦ m4 % VFS_PAGE_SIZE = 0, adr1 = ri0[inodekey(ino)], adr1 = adr3, adr1 = adr2, adr2 = adr3, adr3 = ri0[inodekey(ino)], datakey(m0, m4 / VFS_PAGE_SIZE) = datakey(ino, n), m0 = ino, m0 = 0, fs0[ri0[inodekey(ino)]].directory, buf-opt.some?, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0, adr3 ∈ ri0

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?;%⊦ datakey(m, n) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → # fs[ri[datakey(m, n)]].data = VFS_PAGE_SIZE; (s)