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Proof step 450 from proof refine-truncate (previous step)

0 = fs[ri[inodekey(m)]].nsubdirs, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), inode = mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2), m0 = fs[ri[inodekey(m)]].nlink, nd = fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]], nd0 = inodenode(inodekey(m), md, false, fs[ri[inodekey(m)]].nlink, 0, n), ro = orphans(fs, ri), m2 % VFS_PAGE_SIZE ≠ 0, fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data?, fs[ri[inodekey(m)]].inode?, orphans(fs, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs, ri[datakey(m, m2 / VFS_PAGE_SIZE)] ∈ fs, datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri, m2 ≤ n, ¬ fs[ri[inodekey(m)]].directory, ¬ buf-opt0.some?, asynced → boolvar4 ⊦ [aubifs_core_journal_add3# (truncnode(inodekey(m), min(n, inode.size)), nd0, nd.data:= fill(nd.data, zero, inode.size % VFS_PAGE_SIZE, VFS_PAGE_SIZE - inode.size % VFS_PAGE_SIZE), ri, fi, orphans(fs, ri), fo ; adr1, adr0, adr, fs, log ; boolvar4, err0); if err0 = ESUCCESS then aubifs_core_index_store#(datakey(inode.ino, m2 / VFS_PAGE_SIZE), adr, fi, ro, fo, fs, log, boolvar4; ri); buf-opt := buf-opt0; boolvar1 := boolvar2; nd.data := fill(nd.data, zero, inode.size % VFS_PAGE_SIZE, VFS_PAGE_SIZE - inode.size % VFS_PAGE_SIZE); if err0 = ESUCCESS then {aubifs_core_index_store#(inodekey(inode.ino), adr0, fi, ro, fo, fs, log, boolvar4; ri); aubifs_core_index_truncate#(inodekey(m), min(n, inode.size), fi, ro, fo, fs, log, boolvar4; ri); boolvar1 := true; inode := mkinode(inode.ino, nd0.meta, nd0.directory, nd0.nlink, nd0.nsubdirs, nd0.size); if boolvar1 then buf-opt := some(nd.data)}] ( ubifs-cons(fs, ri, ro, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro) ∧ ri-inj(ri) ∧ log-cons(log, fs) → ⟨p_inode := mkinode(m, md, false, m0, 0, m2); afs_truncate#(n, m2 / VFS_PAGE_SIZE; buf-opt0, p_inode, boolvar2, err1, dirs, files, asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro) ∧ (asynced → boolvar4) ∧ buf-opt = buf-opt0 ∧ inode = p_inode ∧ (boolvar1 ↔ boolvar2) ∧ err0 = err1))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 451:
0 = fs[ri[inodekey(m)]].nsubdirs, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), inode = mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2), inode = mkinode(m1, md0, boolvar, m3, m4, m5), m0 = fs[ri[inodekey(m)]].nlink, nd = fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]], nd0 = inodenode(inodekey(m), md, false, fs[ri[inodekey(m)]].nlink, 0, n), ro = orphans(fs, ri), fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data?, fs[ri[inodekey(m)]].inode?, fo.inodes?, orphans(fs, ri).inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri, ri[datakey(m, m2 / VFS_PAGE_SIZE)] ∈ fs, ri[inodekey(m)] ∈ fs, inodekey(m) ∈ ri, m2 ≤ n, asynced → boolvar4 ⊦ [aubifs_core_journal_add3# (truncnode(inodekey(m), min(n, m5)), nd0, nd.data:= fill(nd.data, zero, m5 % VFS_PAGE_SIZE, VFS_PAGE_SIZE - m5 % VFS_PAGE_SIZE), ri, fi, orphans(fs, ri), fo ; adr1, adr0, adr, fs, log ; boolvar4, err0); if err0 = ESUCCESS then aubifs_core_index_store#(datakey(m1, m2 / VFS_PAGE_SIZE), adr, fi, ro, fo, fs, log, boolvar4; ri); buf-opt := buf-opt0; boolvar1 := boolvar2; nd.data := fill(nd.data, zero, m5 % VFS_PAGE_SIZE, VFS_PAGE_SIZE - m5 % VFS_PAGE_SIZE); if err0 = ESUCCESS then {aubifs_core_index_store#(inodekey(m1), adr0, fi, ro, fo, fs, log, boolvar4; ri); aubifs_core_index_truncate#(inodekey(m), min(n, m5), fi, ro, fo, fs, log, boolvar4; ri); boolvar1 := true; inode := mkinode(inode.ino, nd0.meta, nd0.directory, nd0.nlink, nd0.nsubdirs, nd0.size); if boolvar1 then buf-opt := some(nd.data)}] ( ubifs-cons(fs, ri, ro, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro) ∧ ri-inj(ri) ∧ log-cons(log, fs) → ⟨p_inode := mkinode(m, md, false, m0, 0, m2); afs_truncate#(n, m2 / VFS_PAGE_SIZE; buf-opt0, p_inode, boolvar2, err1, dirs, files, asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro) ∧ (asynced → boolvar4) ∧ buf-opt = buf-opt0 ∧ inode = p_inode ∧ (boolvar1 ↔ boolvar2) ∧ err0 = err1)), m2 % VFS_PAGE_SIZE = 0, fs[ri[inodekey(m)]].directory, buf-opt0.some?

Rule argument

spec: inode name: elim seq: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2) subst: [inode, m, md, boolvar, m0, m1, m2] → [inode, m1, md0, boolvar, m3, m4, m5]

Additional information

Used simplifier rules: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2); (elim) Used terms: inode, m1, md0, boolvar, m3, m4, m5