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Proof step 344 from proof inv-write_inode (previous step)

afs-cons(dirs, files), afs-cons(dirs, files[m, (files[m].meta:= md).size:= m2]), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(files, icache, pcache), synced(dirs, icache, pcache), m ∈ files ⊦ m ∈ icache, icache-cons(icache, dirs, files[m, (files[m].meta:= md).size:= m2]) ∧ dcache-cons(dcache, dirs, files[m, (files[m].meta:= md).size:= m2]) ∧ pcache-cons(pcache, dirs, files[m, (files[m].meta:= md).size:= m2]) ∧ synced(files[m, (files[m].meta:= md).size:= m2], icache, pcache)

Heuristic use patterns applied rule cut formula

And obtained the following new goals

Proof step 345:
afs-cons(dirs, files[m, (files[m].meta:= md).size:= m2]), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), icache-cons(icache, dirs, files[m, (files[m].meta:= md).size:= m2]), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), synced(files, icache, pcache), m ∈ files ⊦ m ∈ icache, icache-cons(icache, dirs, files[m, (files[m].meta:= md).size:= m2]) ∧ dcache-cons(dcache, dirs, files[m, (files[m].meta:= md).size:= m2]) ∧ pcache-cons(pcache, dirs, files[m, (files[m].meta:= md).size:= m2]) ∧ synced(files[m, (files[m].meta:= md).size:= m2], icache, pcache)
Proof step 396:
afs-cons(dirs, files[m, (files[m].meta:= md).size:= m2]), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), synced(files, icache, pcache), m ∈ files ⊦ icache-cons(icache, dirs, files[m, (files[m].meta:= md).size:= m2]), m ∈ icache, icache-cons(icache, dirs, files[m, (files[m].meta:= md).size:= m2]) ∧ dcache-cons(dcache, dirs, files[m, (files[m].meta:= md).size:= m2]) ∧ pcache-cons(pcache, dirs, files[m, (files[m].meta:= md).size:= m2]) ∧ synced(files[m, (files[m].meta:= md).size:= m2], icache, pcache)

Rule argument

fma: icache-cons (icache, dirs, files[m, (files[m].meta:= md).size:= m2])

Additional information

Used formulas: icache-cons(icache, dirs, files[m, (files[m].meta:= md).size:= m2])