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Proof step 82 from proof truncate-term (previous step)

files0[m] = mkfile(m1, md1, # links(m, dirs), content0), files = files0[m, mkfile(m1, md1, # links(m, dirs), content0 upto min(n, m2))], inode = mkinode(m, md, false, # links(m, dirs), 0, m2), afs-cons(dirs, files0), m ∈ files0, buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE, buf-opt = none ∨ # buf-opt.buf = VFS_PAGE_SIZE ⊦ ⟪afs_inode_sync#(mkinode(m, md, false, # links(m, dirs), 0, n); 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 := ?⟫ true, m2 ≤ n ∧ m2 % VFS_PAGE_SIZE ≠ 0 ∧ (m2 / VFS_PAGE_SIZE ∈ content0 ∨ buf-opt.some?)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 83:
files0[m] = mkfile(m1, md1, # links(m, dirs), content0), files = files0[m, mkfile(m1, md1, # links(m, dirs), content0 upto min(n, m2))], inode = mkinode(m, md, false, # links(m, dirs), 0, n), inode0 = mkinode(m, md, false, # links(m, dirs), 0, m2), afs-cons(dirs, files0), m ∈ files0, buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE, buf-opt = none ∨ # buf-opt.buf = VFS_PAGE_SIZE ⊦ ⟪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 := ?⟫ true, m2 ≤ n ∧ m2 % VFS_PAGE_SIZE ≠ 0 ∧ (m2 / VFS_PAGE_SIZE ∈ content0 ∨ buf-opt.some?)

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 };