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Proof step 40 from proof write-term (previous step)

# links(m, dirs) = m3, files[m] = mkfile(m1, md, m3, content), of[fd] = mkfile(m, mode, m0), files[m] = mkfile(m2, md0, m3, content0), buf-opt = none, dirs0 = dirs, err = ESUCCESS, ino = 0, ino0 = 0, inode = mkinode(m, md, false, m3, 0, m1), afs-cons(dirs, files), of-cons(of, dirs, files), fd ∈ of, m ∈ files, n0 ≤ # buf ⊦ [afs_truncate_internal#(m1, m1 / VFS_PAGE_SIZE; inode, buf-opt, ino0, ino, isdir, err, dirs, files; asynced)] ( afs-cons(dirs, files) → ⟪ino3 := 0; if err = ESUCCESS then vfs_write_loop#(m0, inode, m0 + n0, buf, dirs; ino3, err, files, asynced); if ino3 ≠ 0 then err := ESUCCESS; if err = ESUCCESS then let ino = inode.size in {n0 := ino3, ino1 := m0 + ino3; if ino3 ≠ 0 ∧ ino < ino1 then {inode.size := ino1; afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_write_inode#(inode; err, dirs, files; asynced)}; if err ≠ ESUCCESS then n0 := (m0 ≤ ino ⊃ ino - m0;0), err := ESUCCESS; of[fd].pos := m0 + n0}⟫ (dirs0 = dirs)), n0 = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 41:
of[fd] = mkfile(m, mode, m0), files[m] = mkfile(m2, md0, # links(m, dirs), content0), buf-opt = none, dirs0 = dirs, err = ESUCCESS, ino = 0, ino0 = 0, inode = mkinode(m, md0, false, # links(m, dirs), 0, m2), n0 ≠ 0, afs-cons(dirs, files), of-cons(of, dirs, files), m ∈ files, fd ∈ of, n0 ≤ # buf ⊦ [afs_truncate_internal#(m2, m2 / VFS_PAGE_SIZE; inode, buf-opt, ino0, ino, isdir, err, dirs, files; asynced)] ( afs-cons(dirs, files) → ⟪ino3 := 0; if err = ESUCCESS then vfs_write_loop#(m0, inode, m0 + n0, buf, dirs; ino3, err, files, asynced); if ino3 ≠ 0 then err := ESUCCESS; if err = ESUCCESS then let ino = inode.size in {n0 := ino3, ino1 := m0 + ino3; if ino3 ≠ 0 ∧ ino < ino1 then {inode.size := ino1; afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_write_inode#(inode; err, dirs, files; asynced)}; if err ≠ ESUCCESS then n0 := (m0 ≤ ino ⊃ ino - m0;0), err := ESUCCESS; of[fd].pos := m0 + n0}⟫ (dirs0 = dirs)), mode ≠ MODE_W ∧ mode ≠ MODE_RW

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0; (ws)