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Proof step 45 from proof fsync-inode-inv (previous step)

files[m1] = mkfile(m5, md1, m6, content0), files[m] = mkfile(m0, md0, # links(m, dirs), content), icache[m] = mkientry(true, mkinode(m1, md, boolvar, m2, m3, m4)), dirs[m1] = mkdir(m7, md2, m8, m9, entries), err = ESUCCESS, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ files, m ∈ icache, m1 ∈ dirs ∧ m2 = m8 ∧ m4 = m7 ∧ m3 = m9 ∧ boolvar ∨ m1 ∈ files ∧ m2 = m6 ∧ m3 = 0 ∧ ¬ boolvar ⊦ [afs_write_inode#(mkinode(m1, md, boolvar, m2, m3, m4); err, dirs, files; asynced1)] ( afs-cons(dirs, files) → ⟪inode := mkinode(m1, md, boolvar, m2, m3, m4); if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache)}⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ inode.ino ∈ files ∧ inode.nlink = files[inode.ino].nlink ∧ inode.nsubdirs = 0 ∧ ¬ inode.directory))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 46:
dirs[m1] = mkdir(m7, md2, m8, m9, entries), icache[m] = mkientry(true, mkinode(m1, md, boolvar, m2, m3, m4)), files[m] = mkfile(m0, md0, # links(m, dirs), content), files[m1] = mkfile(m5, md1, m6, content0), err = ESUCCESS, inode = mkinode(m1, md, boolvar, m2, m3, m4), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ icache, m ∈ files, m1 ∈ dirs ∧ m2 = m8 ∧ m4 = m7 ∧ m3 = m9 ∧ boolvar ∨ m1 ∈ files ∧ m2 = m6 ∧ m3 = 0 ∧ ¬ boolvar ⊦ [if pre-write-inode(inode, dirs, files) then { {if inode.directory then dirs[inode.ino].meta := inode.meta else {files[inode.ino].meta := inode.meta; files[inode.ino].size := inode.size}; err := ESUCCESS} or fail#(; ; err); asynced := ?} else abort] ( afs-cons(dirs, files) → ⟪inode := mkinode(m1, md, boolvar, m2, m3, m4); if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache)}⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ inode.ino ∈ files ∧ inode.nlink = files[inode.ino].nlink ∧ inode.nsubdirs = 0 ∧ ¬ inode.directory))

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_write_inode#(INODE; ERR, DIRS, FILES; ASYNCED) {if pre-write-inode(INODE, DIRS, FILES) then { {if INODE.directory then DIRS[INODE.ino].meta := INODE.meta else {FILES[INODE.ino].meta := INODE.meta; FILES[INODE.ino].size := INODE.size}; ERR := ESUCCESS} or fail#(; ; ERR); ASYNCED := ?} else abort };