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Proof step 193 from proof write-prepost-partial (previous step)

⟨afs_truncate#(m2, m2 / VFS_PAGE_SIZE; buf-opt, inode, isdir, err2, dirs1, files1, asynced)⟩ (buf-opt = buf-opt0 ∧ inode = inode0 ∧ (isdir ↔ isdir0) ∧ err2 = ESUCCESS ∧ dirs1 = dirs0 ∧ files1 = files0 ∧ (asynced ↔ asynced0)), files1 -- m = files0 -- m, files0[m] = mkfile(m2, md0, # links(m, dirs1), content), of1[fd] = mkfile(m, mode, m0), files1[m] = mkfile(m2, md0, # links(m, dirs1), content0), files[m] = mkfile(m1, md, m3, content1), buf-opt = none, err2 = ESUCCESS, content.stream from m2 = σ⊥, inode = mkinode(m, md0, false, # links(m, dirs1), 0, m2), inode0 = mkinode(m, md0, false, # links(m, dirs1), 0, m2), content0.stream to m2 = content.stream to m2, m2 < m0 + ino, afs-cons(dirs1, files1), of-cons(of1, dirs1, files1), write-inv(m0, m0 + n1, mkinode(m, md0, false, # links(m, dirs1), 0, m2), buf, ino, dirs0, files0, files), write-inv(m0, m0 + n1, mkinode(m, md0, false, # links(m, dirs1), 0, m2), buf, 0, dirs0, files0, files0), files1 ~ files0, fd ∈ of1, m ∈ files1, m ∈ files, n1 ≤ # buf, ⌊err0⌋ , err1 = ESUCCESS ∨ ⌊err1⌋ ⊦ ino = 0, n1 = 0, (content1.stream to m1).buf = splice(buf, 0, (content.stream to m2).buf, m0, (m0 ≤ m2 ⊃ m2 - m0;0)) ∧ (m0 ≤ m2 ⊃ m2 - m0;0) ≤ n1 ∧ md = md0 ∧ files -- m = files0 -- m ∧ (mode = MODE_W ∨ mode = MODE_RW), mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 194:
⊦ files0[ino] = mkfile(m0, md0, n2, content0) ∧ files1[ino] = mkfile(m1, md1, n3, content1) ∧ write-inv(n0, n1, mkinode(ino, md, false, m, n4, m2), buf, n, dirs, files0, files1) → m0 = m1 ∧ md0 = md1
Proof step 195:
⟨afs_truncate#(m1, m1 / VFS_PAGE_SIZE; buf-opt, inode, isdir, err2, dirs1, files1, asynced)⟩ (buf-opt = buf-opt0 ∧ inode = inode0 ∧ (isdir ↔ isdir0) ∧ err2 = ESUCCESS ∧ dirs1 = dirs0 ∧ files1 = files0 ∧ (asynced ↔ asynced0)), files1 -- m = files0 -- m, files0[m] = mkfile(m1, md, # links(m, dirs1), content), of1[fd] = mkfile(m, mode, m0), files1[m] = mkfile(m1, md, # links(m, dirs1), content0), files[m] = mkfile(m1, md, m3, content1), buf-opt = none, err2 = ESUCCESS, content.stream from m1 = σ⊥, inode = mkinode(m, md, false, # links(m, dirs1), 0, m1), inode0 = mkinode(m, md, false, # links(m, dirs1), 0, m1), content0.stream to m1 = content.stream to m1, ino ≠ 0, n1 ≠ 0, m1 < m0 + ino, afs-cons(dirs1, files1), of-cons(of1, dirs1, files1), write-inv(m0, m0 + n1, mkinode(m, md, false, # links(m, dirs1), 0, m1), buf, ino, dirs0, files0, files), write-inv(m0, m0 + n1, mkinode(m, md, false, # links(m, dirs1), 0, m1), buf, 0, dirs0, files0, files0), files1 ~ files0, fd ∈ of1, m ∈ files1, m ∈ files, n1 ≤ # buf, ⌊err0⌋ , err1 = ESUCCESS ∨ ⌊err1⌋ ⊦ mode ≠ MODE_W ∧ mode ≠ MODE_RW, (content1.stream to m1).buf = splice(buf, 0, (content.stream to m1).buf, m0, (m0 ≤ m1 ⊃ m1 - m0;0)) ∧ (m0 ≤ m1 ⊃ m1 - m0;0) ≤ n1 ∧ files -- m = files0 -- m ∧ (mode = MODE_W ∨ mode = MODE_RW)

Rule argument

Additional information

Used simplifier rules: write-inv-meta: ⊦ files0[ino] = mkfile(m0, md0, n2, content0) ∧ files1[ino] = mkfile(m1, md1, n3, content1) ∧ write-inv (n0, n1, mkinode(ino, md, false, m, n4, m2), buf, n, dirs, files0, files1) → m0 = m1 ∧ md0 = md1;