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Proof step 726 from proof inv-truncate (previous step)

fs0[ri[inodekey(m0)]].nlink = 0 ∧ m0 ≠ ROOT_INO ↔ inodekey(m0) ∈ ro, fs = fs0[adr1, truncnode(inodekey(m0), min(n, m4))] [adr2, inodenode(inodekey(m0), md, false, fs0[ri[inodekey(m0)]].nlink, fs0[ri[inodekey(m0)]].nsubdirs, n) ], inode = mkinode(m0, md, false, fs0[ri[inodekey(m0)]].nlink, fs0[ri[inodekey(m0)]].nsubdirs, m4), nd1 = inodenode(inodekey(m0), md, false, fs0[ri[inodekey(m0)]].nlink, fs0[ri[inodekey(m0)]].nsubdirs, n), adr1 ≠ adr2, m0 ≠ 0, fs0[ri[inodekey(m0)]].inode?, fo.inodes?, ro.inodes?, file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, ro), replay-cons-strong(fs0, ri, ro, fi, fo, log0), ri-cons(ri, fs0), ri-inj(fi), ri-inj(ri), ubifs-cons(fs0, ri, ro, fi, fo, log0), inodekey(m0) ∈ ri, ri[inodekey(m0)] ∈ fs0, ¬ fs0[ri[inodekey(m0)]].directory, ¬ adr2 ∈ fs0, ¬ adr1 ∈ fs0, buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE ⊦ ⟪aubifs_core_index_store#(inodekey(m0), adr2, fi, ro, fo, fs, (log0 + adr1 ') + adr2 ', boolvar; ri); aubifs_core_index_truncate#(inodekey(m0), min(n, m4), fi, ro, fo, fs, (log0 + adr1 ') + adr2 ', boolvar; ri); boolvar1 := false; inode := mkinode(inode.ino, nd1.meta, nd1.directory, nd1.nlink, nd1.nsubdirs, nd1.size); if boolvar1 then buf-opt := some(nd1.data)⟫ ( ubifs-cons(fs, ri, ro, fi, fo, (log0 + adr1 ') + adr2 ') ∧ replay-cons-strong(fs, ri, ro, fi, fo, (log0 + adr1 ') + adr2 ') ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro)), m4 ≤ n ∧ m4 % VFS_PAGE_SIZE ≠ 0

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 727:
fs0[ri[inodekey(m0)]].nlink = 0 ∧ m0 ≠ ROOT_INO ↔ inodekey(m0) ∈ ro, adr = adr2, fs = fs0[adr1, truncnode(inodekey(m0), min(n, m4))] [adr2, inodenode(inodekey(m0), md, false, fs0[ri[inodekey(m0)]].nlink, fs0[ri[inodekey(m0)]].nsubdirs, n) ], inode = mkinode(m0, md, false, fs0[ri[inodekey(m0)]].nlink, fs0[ri[inodekey(m0)]].nsubdirs, m4), key = inodekey(m0), log = (log0 + adr1 ') + adr2 ', nd1 = inodenode(inodekey(m0), md, false, fs0[ri[inodekey(m0)]].nlink, fs0[ri[inodekey(m0)]].nsubdirs, n), fs0[ri[inodekey(m0)]].inode?, ro.inodes?, fo.inodes?, file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, ro), replay-cons-strong(fs0, ri, ro, fi, fo, log0), ri-cons(ri, fs0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs0, ri, ro, fi, fo, log0), ri[inodekey(m0)] ∈ fs0, inodekey(m0) ∈ ri, buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE ⊦ ⟪if ¬ adr ∈ ri ∧ adr ∈ fs ∧ key-cons(key, fs[adr]) then ri[key] := adr else abort; aubifs_core_index_truncate#(inodekey(m0), min(n, m4), fi, ro, fo, fs, (log0 + adr1 ') + adr2 ', boolvar; ri); boolvar1 := false; inode := mkinode(inode.ino, nd1.meta, nd1.directory, nd1.nlink, nd1.nsubdirs, nd1.size); if boolvar1 then buf-opt := some(nd1.data)⟫ ( ubifs-cons(fs, ri, ro, fi, fo, (log0 + adr1 ') + adr2 ') ∧ replay-cons-strong(fs, ri, ro, fi, fo, (log0 + adr1 ') + adr2 ') ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro)), adr1 = adr2, m0 = 0, fs0[ri[inodekey(m0)]].directory, adr2 ∈ fs0, adr1 ∈ fs0, m4 ≤ n ∧ m4 % VFS_PAGE_SIZE ≠ 0

Rule argument

pos: right 1

Additional information

Used simplifier rules: aubifs_core_index_store#(KEY, ADR, FI, RO, FO, FS, LOG, CSYNCED; RI) {if ¬ ADR ∈ RI ∧ ADR ∈ FS ∧ key-cons(KEY, FS[ADR]) then RI[KEY] := ADR else abort };