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Proof step 403 from proof inv-write_inode (previous step)

icache[ino].inode = mkinode(m0, md0, boolvar, m1, m3, m4), afs-cons(dirs, files[m, (files[m].meta:= md).size:= m2]), afs-cons(dirs, files), icache-cons(icache, dirs, files), synced(dirs, icache, pcache), synced(files, icache, pcache), m ∈ files, ino ∈ icache ⊦ m ∈ icache, m0 = ino ∧ (icache[ino].dirty ⊃ m0 ∈ files ∧ m1 = (m0 = m ⊃ (files[m0].meta:= md).size:= m2;files[m0]).nlink ∧ m3 = 0 ∧ ¬ boolvar ; (ino ∈ dirs ∨ ino ∈ files) ∧ icache[ino].inode = (m0 ∈ dirs ⊃ mkinode(m0, dirs[m0].meta, true, dirs[m0].nlink, dirs[m0].nsubdirs, dirs[m0].size) ;mkinode (m0, (m0 = m ⊃ (files[m0].meta:= md).size:= m2;files[m0]).meta, false, (m0 = m ⊃ (files[m0].meta:= md).size:= m2;files[m0]).nlink, 0, (m0 = m ⊃ (files[m0].meta:= md).size:= m2;files[m0]).size) ) )

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 404:
icache[ino].inode = mkinode(m0, md0, boolvar, m1, m3, m4), afs-cons(dirs, files[m, (files[m].meta:= md).size:= m2]), afs-cons(dirs, files), icache-cons(icache, dirs, files), synced(dirs, icache, pcache), synced(files, icache, pcache), m ∈ files, ino ∈ icache ⊦ m ∈ icache, m0 = ino ∧ (icache[ino].dirty ⊃ ino ∈ files ∧ m1 = files[ino].nlink ∧ m3 = 0 ∧ ¬ boolvar ; (ino ∈ dirs ∨ ino ∈ files) ∧ mkinode(ino, md0, boolvar, m1, m3, m4) = (ino ∈ dirs ⊃ mkinode(ino, dirs[ino].meta, true, dirs[ino].nlink, dirs[ino].nsubdirs, dirs[ino].size) ;mkinode(ino, files[ino].meta, false, files[ino].nlink, 0, files[ino].size) ) )

Proof step 403 from proof inv-write_inode (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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