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Proof step 327 from proof inv-truncate-buff-none-cached (previous step)

# buf0 = VFS_PAGE_SIZE, icache[ino] = mkientry(boolvar1, inode), pcache0[datakey(m0, m2 / VFS_PAGE_SIZE)] = mkpentry(boolvar, buf0), files0[m0] = mkfile(m1, md1, # links(m0, dirs), content0), pcache0[datakey(ino, n)] = mkpentry(boolvar0, buf), icache[m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5))][ino] = mkientry(boolvar2, inode0), afs-cons(dirs, files0), afs-cons(dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]), synced(files0, icache, pcache0), datakey(ino, n) ∈ pcache0, ino ∈ files0, datakey(m0, m2 / VFS_PAGE_SIZE) ∈ pcache0, m0 ∈ files0, ino ∈ icache → ¬ boolvar1, ∀ n. datakey(ino, n) ∈ pcache0 → ¬ pcache0[datakey(ino, n)].dirty, ∀ key. key ∈ pcache0 → key.data?, n * VFS_PAGE_SIZE < min(m5, m2) ∨ m0 ≠ ino ⊦ m2 ≤ m5 ∧ m2 % VFS_PAGE_SIZE ≠ 0, (ino ∈ icache[m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5))] → ¬ boolvar2) ∧ ¬ boolvar0

Heuristic use patterns applied rule all left

And closed the goal!

Rule argument

pos: left 15 terms: n abort: T discard: F computed: F

Additional information

Used simplifier rules: ⊦ mkpentry(boolvar, buf).dirty ↔ boolvar; (s)% ⊦ icache[ino, ie][ino] = ie; (s)%⊦ mkientry(boolvar, inode) = mkientry(boolvar0, inode0) ↔ (boolvar ↔ boolvar0) ∧ inode = inode0; (ws)% ⊦ ino ≠ ino0 → icache[ino0, ie][ino] = icache[ino]; (s)% ⊦ ino ≠ ino0 → (ino ∈ icache[ino0, ie] ↔ ino ∈ icache); (s) Used terms: n