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Proof step 308 from proof inv-write (previous step)

m1 + n1 = m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE + VFS_PAGE_SIZE, files1[m] = mkfile(m1, md, # links(m, dirs), content0), of[fd] = mkfile(m, mode, m0), dirs1 = dirs, err = ESUCCESS, err0 = ESUCCESS, files0 = files, files2 = files1[m, mkfile(m1, md, # links(m, dirs), content0[m1 / VFS_PAGE_SIZE, fill(content0[m1 / VFS_PAGE_SIZE], zero, n2, n1)] upto m1)], ino0 = (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode (m, files1 [m, files1 [m, files1 [m, mkfile (m1, md, # links(m, dirs), content0[m1 / VFS_PAGE_SIZE, fill(content0[m1 / VFS_PAGE_SIZE], zero, m1 % VFS_PAGE_SIZE, n1)] upto m1) ] [m ] .size:= m1 ] [m ] .meta:= md ] [m ] .meta, false, files1 [m, files1 [m, files1 [m, mkfile (m1, md, # links(m, dirs), content0[m1 / VFS_PAGE_SIZE, fill(content0[m1 / VFS_PAGE_SIZE], zero, m1 % VFS_PAGE_SIZE, n1)] upto m1) ] [m ] .size:= m1 ] [m ] .meta:= md ] [m ] .nlink, 0, files1 [m, files1 [m, files1 [m, mkfile (m1, md, # links(m, dirs), content0[m1 / VFS_PAGE_SIZE, fill(content0[m1 / VFS_PAGE_SIZE], zero, m1 % VFS_PAGE_SIZE, n1)] upto m1) ] [m ] .size:= m1 ] [m ] .meta:= md ] [m ] .size) ) .size, ino1 = m0 + ino4, ino2 = 0, ino4 = ino, ino5 = m0 + n, ino6 = m0, inode = mkinode(m, md, false, # links(m, dirs), 0, m1), ¬ isdir0, m1 = n2 + m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE, n0 = ino4, dom of < ino3, afs-cons(dirs, files1), afs-cons(dirs, files), of-cons(of, dirs, files1), of-cons(of, dirs, files), fd ∈ of, m1 / VFS_PAGE_SIZE ∈ content0, m ∈ files1, n2 + n1 ≤ VFS_PAGE_SIZE, n ≤ # buf0, (m ∈ dirs ⊃ true ; ( VFS_PAGE_SIZE ≠ 0 ∧ m1 % VFS_PAGE_SIZE + n1 ≤ # content0[m1 / VFS_PAGE_SIZE] ∧ (m1 / VFS_PAGE_SIZE ∈ content0 ∧ VFS_PAGE_SIZE ≠ 0) ∧ VFS_PAGE_SIZE ≠ 0) ∧ ( VFS_PAGE_SIZE ≠ 0 ∧ m1 % VFS_PAGE_SIZE + n1 ≤ # content0[m1 / VFS_PAGE_SIZE] ∧ (m1 / VFS_PAGE_SIZE ∈ content0 ∧ VFS_PAGE_SIZE ≠ 0) ∧ VFS_PAGE_SIZE ≠ 0) ∧ VFS_PAGE_SIZE ≠ 0 ∧ m1 % VFS_PAGE_SIZE + n1 ≤ # content0[m1 / VFS_PAGE_SIZE] ∧ (m1 / VFS_PAGE_SIZE ∈ content0 ∧ VFS_PAGE_SIZE ≠ 0) ∧ VFS_PAGE_SIZE ≠ 0 ) ⊦ ino4 = 0, n = 0, n2 = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW, err1 = ESUCCESS ∧ ¬ isdir, ino4 ≠ 0 ∧ ino0 < ino1, of-cons(of[fd, of[fd].pos:= (m0 + n0)], dirs, files0) ∧ dom of[fd, of[fd].pos:= (m0 + n0)] < ino3 ∧ afs-cons(dirs, files0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: of-cons-reduce: ⊦ of-cons(of0, dirs0, files0) → ( of-cons(of1, dirs1, files1) ↔ (∀ n. (n ∈ of0 → of0[n].ino ∈ files0) → n ∈ of1 → of1[n].ino ∈ files1));% ⊦ mkfile(m, mode, m0).ino = m; (s)% ⊦ fd = fd0 → of[fd0, file][fd] = file; (s)% ⊦ fd ∈ of[fd0, file] ↔ fd = fd0 ∨ fd ∈ of; (ws)% ⊦ mkfile(m, mode, m0).pos:= m2 = mkfile(m, mode, m2); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ mkfile(m, md, m0, content).size = m; (s)% ⊦ mkfile(m, md, m0, content).nlink = m0; (s)% ⊦ mkfile(m, md, m0, content).meta = md; (s)% ⊦ mkfile(m, md, m0, content).meta:= md0 = mkfile(m, md0, m0, content); (s)% ⊦ mkfile(m, md, m0, content).size:= m1 = mkfile(m1, md, m0, content); (s)%⊦ of-cons(of, dirs, files) ∧ fd ∈ of ∧ of[fd] = mkfile(ino, mode, n) → ino ∈ files; (ss)% ⊦ files[ino, af][ino0] = (ino0 = ino ∧ ino ∈ files ⊃ af;files[ino0]); (s)% ⊦ fd ∈ of → dom of ++ fd = dom of; (s)% ⊦ dom of[fd, file] = dom of ++ fd; (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)%⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n0, content) ∧ n ∈ content → # content[n] = VFS_PAGE_SIZE; (s)%⊦ of-cons(of, dirs, files) ∧ fd ∈ of ∧ of[fd] = mkfile(ino, mode, n) ∧ afs-cons(dirs, files) → ¬ ino ∈ dirs; (s)