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Proof step 209 from proof inv-write_inode (previous step)

dirs[m] = mkdir(m0, md0, # links(m, dirs), m2, entries), icache[ino] = mkientry(boolvar0, inode), inode = mkinode(m1, md1, boolvar, m3, m4, m5), afs-cons(dirs, files), afs-cons(dirs[m, mkdir(m0, md, # links(m, dirs), m2, entries)], files), icache-cons(icache, dirs, files), synced(dirs, icache, pcache), ino ∈ icache, m ∈ dirs, asynced2 → synced(files, icache, pcache) ⊦ m ∈ icache, m1 = ino ∧ (boolvar0 ⊃ ino ∈ files ∧ m3 = files[ino].nlink ∧ m4 = 0 ∧ ¬ boolvar ; (ino ∈ dirs ∨ ino ∈ files) ∧ mkinode(ino, md1, boolvar, m3, m4, m5) = (ino ∈ dirs ⊃ mkinode(ino, dirs[ino].meta, true, dirs[ino].nlink, dirs[ino].nsubdirs, dirs[ino].size) ;mkinode(ino, files[ino].meta, false, files[ino].nlink, 0, files[ino].size) ) )

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 210:
icache[ino] = mkientry(boolvar0, mkinode(m1, md1, boolvar, m3, m4, m5)), dirs[m] = mkdir(m0, md0, # links(m, dirs), m2, entries), afs-cons(dirs[m, mkdir(m0, md, # links(m, dirs), m2, entries)], files), afs-cons(dirs, files), icache-cons(icache, dirs, files), synced(dirs, icache, pcache), m ∈ dirs, ino ∈ icache, asynced2 → synced(files, icache, pcache) ⊦ m ∈ icache, m1 = ino ∧ (boolvar0 ⊃ ino ∈ files ∧ m3 = files[ino].nlink ∧ m4 = 0 ∧ ¬ boolvar ; (ino ∈ dirs ∨ ino ∈ files) ∧ mkinode(ino, md1, boolvar, m3, m4, m5) = (ino ∈ dirs ⊃ mkinode(ino, dirs[ino].meta, true, dirs[ino].nlink, dirs[ino].nsubdirs, dirs[ino].size) ;mkinode(ino, files[ino].meta, false, files[ino].nlink, 0, files[ino].size) ) )

Proof step 209 from proof inv-write_inode (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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