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Proof step 115 from proof fsync-inode-overwrite (previous step)

icache[m] = mkientry(false, mkinode(m2, md, false, m3, m4, m5)), files0[m] = mkfile(m0, md0, m1, content), m ∈ icache, m ∈ files0, m ∈ icache → icache[m].inode.ino = m ∧ (icache[m].dirty ⊃ icache[m].inode.ino ∈ files0 ∧ icache[m].inode.nlink = files0[icache[m].inode.ino].nlink ∧ icache[m].inode.nsubdirs = 0 ∧ ¬ icache[m].inode.directory ; (m ∈ dirs ∨ m ∈ files0) ∧ icache[m].inode = (icache[m].inode.ino ∈ dirs ⊃ mkinode (icache[m].inode.ino, dirs[icache[m].inode.ino].meta, true, dirs[icache[m].inode.ino].nlink, dirs[icache[m].inode.ino].nsubdirs, dirs[icache[m].inode.ino].size) ;mkinode (icache[m].inode.ino, files0[icache[m].inode.ino].meta, false, files0[icache[m].inode.ino].nlink, 0, files0[icache[m].inode.ino].size) ) ), ∀ ino. ino ∈ icache → icache[ino].inode.ino = ino ∧ (icache[ino].dirty ⊃ icache[ino].inode.ino ∈ files0 ∧ icache[ino].inode.nlink = files0[icache[ino].inode.ino].nlink ∧ icache[ino].inode.nsubdirs = 0 ∧ ¬ icache[ino].inode.directory ; (ino ∈ dirs ∨ ino ∈ files0) ∧ icache[ino].inode = (icache[ino].inode.ino ∈ dirs ⊃ mkinode (icache[ino].inode.ino, dirs[icache[ino].inode.ino].meta, true, dirs[icache[ino].inode.ino].nlink, dirs[icache[ino].inode.ino].nsubdirs, dirs[icache[ino].inode.ino].size) ;mkinode (icache[ino].inode.ino, files0[icache[ino].inode.ino].meta, false, files0[icache[ino].inode.ino].nlink, 0, files0[icache[ino].inode.ino].size) ) ) ⊦ mkfile(m0, md0, m1, content) = mkfile(m5, md, m3, content)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 116:
icache[m2] = mkientry(false, mkinode(m2, md, false, m3, m4, m5)), files0[m2] = mkfile(m0, md0, m1, content), mkinode(m2, md, false, m3, m4, m5) = (m2 ∈ dirs ⊃ mkinode(m2, dirs[m2].meta, true, dirs[m2].nlink, dirs[m2].nsubdirs, dirs[m2].size);mkinode(m2, md0, false, m1, 0, m0)), m2 ∈ icache, m2 ∈ files0, ∀ ino. ino ∈ icache → icache[ino].inode.ino = ino ∧ (icache[ino].dirty ⊃ icache[ino].inode.ino ∈ files0 ∧ icache[ino].inode.nlink = files0[icache[ino].inode.ino].nlink ∧ icache[ino].inode.nsubdirs = 0 ∧ ¬ icache[ino].inode.directory ; (ino ∈ dirs ∨ ino ∈ files0) ∧ icache[ino].inode = (icache[ino].inode.ino ∈ dirs ⊃ mkinode (icache[ino].inode.ino, dirs[icache[ino].inode.ino].meta, true, dirs[icache[ino].inode.ino].nlink, dirs[icache[ino].inode.ino].nsubdirs, dirs[icache[ino].inode.ino].size) ;mkinode (icache[ino].inode.ino, files0[icache[ino].inode.ino].meta, false, files0[icache[ino].inode.ino].nlink, 0, files0[icache[ino].inode.ino].size) ) ) ⊦ mkfile(m0, md0, m1, content) = mkfile(m5, md, m3, content)

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content).size = m; (s)% ⊦ mkfile(m, md, m0, content).nlink = m0; (s)% ⊦ mkfile(m, md, m0, content).meta = md; (s)% ⊦ mkientry(boolvar, inode).dirty ↔ boolvar; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ mkientry(boolvar, inode).inode = inode; (s)