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Proof step 166 from proof write-term (previous step)

files0[m] = mkfile(m2, md0, # links(m, dirs), content0), of[fd] = mkfile(m, mode, m0), dirs0 = dirs, files = files0[m, mkfile(m2, md0, # links(m, dirs), content0 upto m2)], inode = mkinode(m, md0, false, # links(m, dirs), 0, m2), n0 ≠ 0, afs-cons(dirs, files0), of-cons(of, dirs, files0), fd ∈ of, m ∈ files0, n0 ≤ # buf0 ⊦ [afs_inode_sync#(mkinode(m, md0, false, # links(m, dirs), 0, m2); dirs, files); inode := (inode.ino ∈ dirs ⊃ mkinode(inode.ino, dirs[inode.ino].meta, true, dirs[inode.ino].nlink, dirs[inode.ino].nsubdirs, dirs[inode.ino].size) ;mkinode(inode.ino, files[inode.ino].meta, false, files[inode.ino].nlink, 0, files[inode.ino].size) ); err := ESUCCESS; asynced := ?] ( afs-cons(dirs, files) → ⟪ino3 := 0; if err = ESUCCESS then vfs_write_loop#(m0, inode, m0 + n0, buf0, 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, m2 % VFS_PAGE_SIZE ≠ 0 ∧ m2 / VFS_PAGE_SIZE ∈ content0

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 167:
of[fd] = mkfile(m, mode, m0), files0[m] = mkfile(m2, md0, # links(m, dirs), content0), dirs0 = dirs, files = files0[m, mkfile(m2, md0, # links(m, dirs), content0 upto m2)], inode = mkinode(m, md0, false, # links(m, dirs), 0, m2), inode0 = mkinode(m, md0, false, # links(m, dirs), 0, m2), afs-cons(dirs, files0), of-cons(of, dirs, files0), m ∈ files0, fd ∈ of, n0 ≤ # buf0 ⊦ [let ino = inode.ino in if ino ∈ files then {files[ino].size := inode.size; files[ino].meta := inode.meta} else if ino ∈ dirs then dirs[ino].meta := inode.meta; inode0 := (inode0.ino ∈ dirs ⊃ mkinode(inode0.ino, dirs[inode0.ino].meta, true, dirs[inode0.ino].nlink, dirs[inode0.ino].nsubdirs, dirs[inode0.ino].size) ;mkinode(inode0.ino, files[inode0.ino].meta, false, files[inode0.ino].nlink, 0, files[inode0.ino].size) ); err := ESUCCESS; asynced := ?] ( afs-cons(dirs, files) → ⟪ino3 := 0; if err = ESUCCESS then vfs_write_loop#(m0, inode0, m0 + n0, buf0, dirs; ino3, err, files, asynced); if ino3 ≠ 0 then err := ESUCCESS; if err = ESUCCESS then let ino = inode0.size in {n0 := ino3, ino1 := m0 + ino3; if ino3 ≠ 0 ∧ ino < ino1 then {inode0.size := ino1; afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_write_inode#(inode0; 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, m2 % VFS_PAGE_SIZE ≠ 0 ∧ m2 / VFS_PAGE_SIZE ∈ content0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_inode_sync#(INODE; DIRS, FILES) {let INO = INODE.ino in if INO ∈ FILES then {FILES[INO].size := INODE.size; FILES[INO].meta := INODE.meta} else if INO ∈ DIRS then DIRS[INO].meta := INODE.meta };