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Proof step 223 from proof inv-write_inode (previous step)

¬ asynced3, err = ESUCCESS, 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 ⊦ ⟪icache_get#(m, icache; asynced3, inode1, err); if err = ESUCCESS ∧ asynced3 then {inode1.meta := md; inode1.size := m2; icache_set#(inode1, false; err, icache)} else if false then err := EFAIL⟫ ( 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(dirs, icache, pcache) ∧ synced(files[m, (files[m].meta:= md).size:= m2], icache, pcache))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 224:
asynced ↔ asynced3, ¬ asynced3, err = ESUCCESS, ino = m, inode = inode1, 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 ⊦ ⟪if ino ∈ icache then {inode := icache[ino].inode; asynced := true} else asynced := false; err := ESUCCESS; if err = ESUCCESS ∧ asynced then {inode1 := inode.meta:= md; inode1.size := m2; icache_set#(inode1, false; err, icache)} else if false then err := EFAIL⟫ ( 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(dirs, icache, pcache) ∧ synced(files[m, (files[m].meta:= md).size:= m2], icache, pcache))

Rule argument

pos: right 1

Additional information

Used simplifier rules: icache_get#(INO, ICACHE; HIT, INODE, ERR) {if INO ∈ ICACHE then {INODE := ICACHE[INO].inode; HIT := true} else HIT := false; ERR := ESUCCESS };