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Proof step 503 from proof inv-write (previous step)

files0[m] = mkfile(m1, md, # links(m, dirs), content0), of[fd] = mkfile(m, mode, m0), dirs1 = dirs, err = ESUCCESS, err0 = ESUCCESS, files1 = files0[m, mkfile(m1, md, # links(m, dirs), content0 upto m1)], ino = m1, ino0 = m0 + n, ino1 = m0 + ino4, ino2 = 0, ino4 = ino5, ino6 = m0, inode = mkinode(m, md, false, # links(m, dirs), 0, m1), ¬ isdir0, n0 = ino4, dom of < ino3, ino < ino1, afs-cons(dirs, files0), afs-cons(dirs, files), of-cons(of, dirs, files0), of-cons(of, dirs, files), fd ∈ of, m ∈ files0, n ≤ # buf0 ⊦ [afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_write_inode#(mkinode(m, md, false, # links(m, dirs), 0, ino1); err, dirs, files; asynced); if err ≠ ESUCCESS then n0 := (m0 ≤ ino ⊃ ino - m0;0), err := ESUCCESS; of[fd].pos := m0 + n0] (dirs1 = dirs → of-cons(of, dirs, files) ∧ dom of < ino3 ∧ afs-cons(dirs, files)), ino4 = 0, n = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW, m1 % VFS_PAGE_SIZE ≠ 0 ∧ m1 / VFS_PAGE_SIZE ∈ content0, err1 = ESUCCESS ∧ ¬ isdir

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 504:
files0[m] = mkfile(m1, md, # links(m, dirs), content0), of[fd] = mkfile(m, mode, m0), err = ESUCCESS, ino4 ≠ 0, n ≠ 0, dom of < ino3, m1 < m0 + ino4, afs-cons(dirs, files0), afs-cons(dirs, files), of-cons(of, dirs, files0), of-cons(of, dirs, files), fd ∈ of, m ∈ files0, n ≤ # buf0 ⊦ [afs_check_commit#(dirs, files; err; asynced); dirs1 := dirs; if err = ESUCCESS then afs_write_inode#(mkinode(m, md, false, # links(m, dirs), 0, m0 + ino4); err, dirs, files; asynced); if err ≠ ESUCCESS then ino4 := (m0 ≤ m1 ⊃ m1 - m0;0), err := ESUCCESS; of[fd].pos := m0 + ino4] (dirs1 = dirs → of-cons(of, dirs, files) ∧ dom of < ino3 ∧ afs-cons(dirs, files)), mode ≠ MODE_W ∧ mode ≠ MODE_RW, m1 % VFS_PAGE_SIZE ≠ 0 ∧ m1 / VFS_PAGE_SIZE ∈ content0, err1 = ESUCCESS ∧ ¬ isdir

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic