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Proof step 732 from proof inv-truncate (previous step)

fs0[ri0[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO ↔ inodekey(m) ∈ ro, ri = ri0[inodekey(m), adr2], adr1 ≠ adr2, m ≠ 0, fs0[ri0[inodekey(m)]].inode?, ro.inodes?, fo.inodes?, file-node-cons(fs0, ri0), log-cons(log0, fs0), orphans-cons(fs0, ri0, ro), replay-cons-strong(fs0, ri0, ro, fi, fo, log0), ri-cons(ri0, fs0), ri-inj(ri0), ri-inj(fi), ubifs-cons(fs0, ri0, ro, fi, fo, log0), ri0[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri0, ¬ fs0[ri0[inodekey(m)]].directory, ¬ adr1 ∈ fs0, ¬ adr2 ∈ fs0, buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE ⊦ ⟪aubifs_core_index_truncate# (inodekey(m), min(n, m3), fi, ro, fo, fs0[adr1, truncnode(inodekey(m), min(n, m3))] [adr2, inodenode(inodekey(m), md0, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n) ], (log0 + adr1 ') + adr2 ', boolvar ; ri); boolvar1 := false; inode := mkinode (m, inodenode(inodekey(m), md0, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n).meta, inodenode(inodekey(m), md0, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n).directory, inodenode(inodekey(m), md0, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n).nlink, inodenode(inodekey(m), md0, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n).nsubdirs, inodenode(inodekey(m), md0, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n).size); md := md0; m0 := m; if boolvar1 then buf-opt := some(inodenode(inodekey(m0), md, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n).data)⟫ ( ubifs-cons (fs0[adr1, truncnode(inodekey(m0), min(n, m3))] [adr2, inodenode(inodekey(m0), md, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n) ], ri, ro, fi, fo, (log0 + adr1 ') + adr2 ') ∧ replay-cons-strong (fs0[adr1, truncnode(inodekey(m0), min(n, m3))] [adr2, inodenode(inodekey(m0), md, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n) ], ri, ro, fi, fo, (log0 + adr1 ') + adr2 ') ∧ file-node-cons (fs0[adr1, truncnode(inodekey(m0), min(n, m3))] [adr2, inodenode(inodekey(m0), md, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n) ], ri) ∧ orphans-cons (fs0[adr1, truncnode(inodekey(m0), min(n, m3))] [adr2, inodenode(inodekey(m0), md, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n) ], ri, ro)), m3 ≤ n ∧ m3 % VFS_PAGE_SIZE ≠ 0

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 733:
fs0[ri0[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO ↔ inodekey(m) ∈ ro, fs = fs0[adr1, truncnode(inodekey(m), min(n0, m3))] [adr2, inodenode(inodekey(m), md0, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n0) ], key = inodekey(m), log = (log0 + adr1 ') + adr2 ', n = min(n0, m3), ri = ri0[inodekey(m), adr2], fs0[ri0[inodekey(m)]].inode?, fo.inodes?, ro.inodes?, file-node-cons(fs0, ri0), log-cons(log0, fs0), orphans-cons(fs0, ri0, ro), replay-cons-strong(fs0, ri0, ro, fi, fo, log0), ri-cons(ri0, fs0), ri-inj(fi), ri-inj(ri0), ubifs-cons(fs0, ri0, ro, fi, fo, log0), inodekey(m) ∈ ri0, ri0[inodekey(m)] ∈ fs0, buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE ⊦ ⟪let ks = datakeys(key, n, ri) in ri := ri \ ks; boolvar1 := false; inode := mkinode (m, inodenode(inodekey(m), md0, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n0).meta, inodenode(inodekey(m), md0, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n0).directory, inodenode(inodekey(m), md0, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n0).nlink, inodenode(inodekey(m), md0, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n0).nsubdirs, inodenode(inodekey(m), md0, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n0).size); md := md0; m0 := m; if boolvar1 then buf-opt := some(inodenode(inodekey(m0), md, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n0).data)⟫ ( ubifs-cons (fs0[adr1, truncnode(inodekey(m0), min(n0, m3))] [adr2, inodenode(inodekey(m0), md, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n0) ], ri, ro, fi, fo, (log0 + adr1 ') + adr2 ') ∧ replay-cons-strong (fs0[adr1, truncnode(inodekey(m0), min(n0, m3))] [adr2, inodenode(inodekey(m0), md, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n0) ], ri, ro, fi, fo, (log0 + adr1 ') + adr2 ') ∧ file-node-cons (fs0[adr1, truncnode(inodekey(m0), min(n0, m3))] [adr2, inodenode(inodekey(m0), md, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n0) ], ri) ∧ orphans-cons (fs0[adr1, truncnode(inodekey(m0), min(n0, m3))] [adr2, inodenode(inodekey(m0), md, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n0) ], ri, ro)), adr1 = adr2, m = 0, fs0[ri0[inodekey(m)]].directory, adr1 ∈ fs0, adr2 ∈ fs0, m3 ≤ n0 ∧ m3 % VFS_PAGE_SIZE ≠ 0

Rule argument

pos: right 1

Additional information

Used simplifier rules: inode-ubifs-cons: ⊦ inodekey(ino) ∈ ri ∧ ri[inodekey(ino)] ∈ fs ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → fs[ri[inodekey(ino)]].inode?;%aubifs_core_index_truncate#(KEY, N, FI, RO, FO, FS, LOG, CSYNCED; RI) {let KS = datakeys(KEY, N, RI) in RI := RI \ KS};% ⊦ key ∈ ri ∧ ri-cons(ri, fs) → ri[key] ∈ fs; (ss)