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Proof step 86 from proof inv-fsync (previous step)

asynced0 ↔ true, files0[m] = mkfile(m0, md0, # links(m, dirs), content), files1[m] = mkfile(m1, md1, # links(m, dirs), content0), files = files0, inode = mkinode(m, md, false, # links(m, dirs), 0, m2), afs-cons(dirs, files0), afs-cons(dirs, files1), dcache-cons(dcache, dirs, files0), dcache-cons(dcache, dirs, files1), icache-cons(icache, dirs, files0), icache-cons(icache, dirs, files1), pcache-cons(pcache0, dirs, files0), pcache-cons(pcache, dirs, files1), synced(dirs, icache, pcache0), synced(dirs, icache, pcache), valid-file-inode(inode, dirs, files), m ∈ files0, m ∈ files1 ⊦ ⟪fail_or_success#(; ; err); choose bv with true in asynced := bv⟫ true

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 87:
# links(m, dirs) = files0[m].nlink, files1[m] = mkfile(m1, md1, files0[m].nlink, content0), files0[m] = mkfile(m0, md0, files0[m].nlink, content), afs-cons(dirs, files1), afs-cons(dirs, files0), dcache-cons(dcache, dirs, files1), dcache-cons(dcache, dirs, files0), icache-cons(icache, dirs, files1), icache-cons(icache, dirs, files0), pcache-cons(pcache, dirs, files1), pcache-cons(pcache0, dirs, files0), synced(dirs, icache, pcache), synced(dirs, icache, pcache0), m ∈ files1, m ∈ files0 ⊦ ⟪fail_or_success#(; ; err); choose bv with true in asynced := bv⟫ true

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)% ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%⊦ valid-file-inode(inode, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ inode.nlink = files[inode.ino].nlink ∧ inode.nsubdirs = 0 ∧ ¬ inode.directory; (s)