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Proof step 176 from proof fsync-inode-inv (previous step)

asynced0 ↔ true, asynced ↔ icache[ino0].dirty, files[m] = mkfile(m0, md0, # links(m, dirs), content), err = ESUCCESS, ino = m, ino0 = m, inode = mkinode(m, md, false, # links(m, dirs), 0, m2), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ files, ino0 ∈ icache ⊦ ⟪icache_set_status#(ino, false; err, icache)⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ afs-cons(dirs, files) ∧ synced(dirs, icache, pcache) ∧ inode.ino ∈ files ∧ inode.nlink = files[inode.ino].nlink ∧ inode.nsubdirs = 0 ∧ ¬ inode.directory), err = ESUCCESS ∧ asynced0 ∧ asynced

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 177:
files[m] = mkfile(m0, md0, # links(m, dirs), content), err = ESUCCESS, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ icache, m ∈ files, ¬ icache[m].dirty ⊦ ⟪icache_set_status#(m, false; err, icache)⟫ (icache-cons(icache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ # links(m, dirs) = files[m].nlink)

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).directory ↔ boolvar; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nsubdirs = m1; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nlink = m0; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)