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Proof step 33 from proof eq-io-truncate (previous step)

⟨afs_inode_sync#(mkinode(m, md, false, m1, 0, n0); dirs1, files)⟩ (dirs1 = dirs0 ∧ files = files0), # buf-opt.buf = VFS_PAGE_SIZE, VFS_PAGE_SIZE = n1 + m2 % VFS_PAGE_SIZE, files1[m] = mkfile(m0, md0, m1, content0), files = files1[m, mkfile(m0, md0, m1, content0[m2 / VFS_PAGE_SIZE, fill(buf-opt.buf, zero, m2 % VFS_PAGE_SIZE, n1)] upto m2)], inode = mkinode(m, md, false, m1, 0, m2), some(fill(buf-opt.buf, zero, m2 % VFS_PAGE_SIZE, n1)) = buf-opt0, m2 % VFS_PAGE_SIZE ≠ 0, buf-opt.some?, m ∈ files1, m2 ≤ n0 ⊦ ⟨afs_truncate#(n0, m2 / VFS_PAGE_SIZE; buf-opt, inode, boolvar1, err, dirs1, files1, boolvar2)⟩ ( buf-opt = buf-opt0 ∧ inode = (m ∈ dirs0 ⊃ mkinode(m, dirs0[m].meta, true, dirs0[m].nlink, dirs0[m].nsubdirs, dirs0[m].size) ;mkinode(m, files0[m].meta, false, files0[m].nlink, 0, files0[m].size) ) ∧ boolvar1 ∧ err = ESUCCESS ∧ dirs1 = dirs0 ∧ files1 = files0)

Heuristic unfold applied rule call left

And obtained the following new goals

Proof step 34:
⟨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⟩ (dirs = dirs0 ∧ files = files0), # buf-opt.buf = VFS_PAGE_SIZE, VFS_PAGE_SIZE = n1 + m2 % VFS_PAGE_SIZE, files1[m] = mkfile(m0, md0, m1, content0), dirs = dirs1, files = files1[m, mkfile(m0, md0, m1, content0[m2 / VFS_PAGE_SIZE, fill(buf-opt.buf, zero, m2 % VFS_PAGE_SIZE, n1)] upto m2)], inode = mkinode(m, md, false, m1, 0, n0), inode0 = mkinode(m, md, false, m1, 0, m2), some(fill(buf-opt.buf, zero, m2 % VFS_PAGE_SIZE, n1)) = buf-opt0, buf-opt.some?, m ∈ files1, m2 ≤ n0 ⊦ ⟨afs_truncate#(n0, m2 / VFS_PAGE_SIZE; buf-opt, inode0, boolvar1, err, dirs1, files1, boolvar2)⟩ ( buf-opt = buf-opt0 ∧ inode0 = (m ∈ dirs0 ⊃ mkinode(m, dirs0[m].meta, true, dirs0[m].nlink, dirs0[m].nsubdirs, dirs0[m].size) ;mkinode(m, files0[m].meta, false, files0[m].nlink, 0, files0[m].size) ) ∧ boolvar1 ∧ err = ESUCCESS ∧ dirs1 = dirs0 ∧ files1 = files0), m2 % VFS_PAGE_SIZE = 0

Rule argument

pos: left 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 };