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Proof step 286 from proof inv-truncate-buff-some (previous step)

# buf-opt.buf = VFS_PAGE_SIZE, icache[ino] = mkientry(boolvar0, inode), files0[m0] = mkfile(m1, md1, # links(m0, dirs), content0), pcache[datakey(ino, n)] = mkpentry(boolvar, buf), icache[m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5))][ino] = mkientry(boolvar1, inode0), buf-opt.some?, afs-cons(dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]), afs-cons(dirs, files0), synced(files0, icache, pcache), datakey(ino, n) ∈ pcache, ino ∈ files0, m0 ∈ files0, ino ∈ icache → ¬ boolvar0, ∀ n. datakey(ino, n) ∈ pcache → ¬ pcache[datakey(ino, n)].dirty, ∀ key. key ∈ pcache → 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))] → ¬ boolvar1) ∧ ¬ boolvar

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 287:
# buf-opt.buf = VFS_PAGE_SIZE, icache[m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5))][ino] = mkientry(boolvar1, inode0), pcache[datakey(ino, n)] = mkpentry(boolvar, buf), files0[m0] = mkfile(m1, md1, # links(m0, dirs), content0), icache[ino] = mkientry(boolvar0, inode), boolvar, buf-opt.some?, afs-cons(dirs, files0), afs-cons(dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]), synced(files0, icache, pcache), m0 ∈ files0, ino ∈ files0, datakey(ino, n) ∈ pcache, ino ∈ icache → ¬ boolvar0, ∀ key. key ∈ pcache → key.data?, ∀ n. datakey(ino, n) ∈ pcache → ¬ pcache[datakey(ino, n)].dirty, n * VFS_PAGE_SIZE < min(m5, m2) ∨ m0 ≠ ino ⊦ (ino ∈ icache[m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5))] → ¬ boolvar1) ∧ ¬ boolvar, m2 ≤ m5 ∧ m2 % VFS_PAGE_SIZE ≠ 0

Rule argument

fma: ¬ boolvar

Additional information

Used simplifier rules: ⊦ ¬ ino ∈ icache → icache[ino] = (∅)[ino]; (s)% ⊦ ino ∈ icache[ino0, ie] ↔ ino = ino0 ∨ ino ∈ icache; (ws)% ⊦ ino = ino0 → icache[ino0, ie][ino] = ie; (s)%⊦ mkientry(boolvar, inode) = mkientry(boolvar0, inode0) ↔ (boolvar ↔ boolvar0) ∧ inode = inode0; (ws)% ⊦ icache[ino, ie][ino] = ie; (s)% ⊦ ino ≠ ino0 → icache[ino0, ie][ino] = icache[ino]; (s)% ⊦ ino ≠ ino0 → (ino ∈ icache[ino0, ie] ↔ ino ∈ icache); (s) Used formulas: ¬ boolvar