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Proof step 418 from proof inv-write_inode (previous step)

asynced3 ↔ false, err = err0, inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), ⌊err0⌋ , asynced2 → synced(files, icache, pcache), m ∈ dirs ∧ m0 = dirs[m].nlink ∧ m2 = dirs[m].size ∧ m1 = dirs[m].nsubdirs ∧ boolvar ∨ m ∈ files ∧ m0 = files[m].nlink ∧ m1 = 0 ∧ ¬ boolvar, asynced2 ∨ boolvar ⊦ ⟪if err = ESUCCESS then icache_get#(inode.ino, icache; asynced3, inode1, err); if err = ESUCCESS ∧ asynced3 then {inode1.meta := inode.meta; if ¬ inode.directory then inode1.size := inode.size; icache_set#(inode1, false; err, icache)} else if false then err := EFAIL⟫ (icache-cons(icache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache)))

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Proof step 419:
asynced3 ↔ false, err = err0, inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), ⌊err0⌋ , asynced2 → synced(files, icache, pcache), asynced2 ∨ boolvar, m ∈ dirs ∧ m0 = dirs[m].nlink ∧ m2 = dirs[m].size ∧ m1 = dirs[m].nsubdirs ∧ boolvar ∨ m ∈ files ∧ m0 = files[m].nlink ∧ m1 = 0 ∧ ¬ boolvar ⊦ ⟪skip; if err = ESUCCESS ∧ asynced3 then {inode1.meta := inode.meta; if ¬ inode.directory then inode1.size := inode.size; icache_set#(inode1, false; err, icache)} else if false then err := EFAIL⟫ (icache-cons(icache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache)))

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)