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Proof step 283 from proof inv-truncate-buff-none-cached (previous step)

# buf0 = VFS_PAGE_SIZE, asynced ↔ false, pcache[datakey(m0, m2 / VFS_PAGE_SIZE)] = mkpentry(boolvar, buf0), files0[m0] = mkfile(m1, md1, # links(m0, dirs), content0), err = ESUCCESS, inode = mkinode(m0, md0, false, # links(m0, dirs), 0, m5), afs-cons(dirs, files0), afs-cons(dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]), dcache-cons(dcache, dirs, files0), icache-cons(icache, dirs, files0), pcache-cons(pcache, dirs, files0), synced(dirs, icache, pcache), datakey(m0, m2 / VFS_PAGE_SIZE) ∈ pcache, m0 ∈ files0, asynced2 → synced(files0, icache, pcache) ⊦ ⟪icache[inode.ino] := mkientry(asynced, inode); pcache_truncate#(m0, m2, m5; err, pcache); inode := mkinode(m0, md0, false, # links(m0, dirs), 0, m5); ino := m0; files := files0[m0, mkfile(m1, md1, # links(m0, dirs), content0 upto min(m5, m2))]; asynced4 := false; if asynced4 then pcache_set# ((m0 ∈ dirs ⊃ mkinode(m0, dirs[m0].meta, true, dirs[m0].nlink, dirs[m0].nsubdirs, dirs[m0].size) ;mkinode (m0, (m0 = ino ∧ ino ∈ files ⊃ (files[ino].size:= inode.size).meta:= inode.meta;files[m0]).meta, false, (m0 = ino ∧ ino ∈ files ⊃ (files[ino].size:= inode.size).meta:= inode.meta;files[m0]).nlink, 0, (m0 = ino ∧ ino ∈ files ⊃ (files[ino].size:= inode.size).meta:= inode.meta;files[m0]).size) ) .ino, m2 / VFS_PAGE_SIZE, some(buf0).buf, false ; err, pcache); if ¬ asynced4 ∨ err ≠ ESUCCESS then buf-opt := none⟫ ( icache-cons(icache, dirs, files[ino, (ino ∈ files ⊃ files[ino].size:= inode.size;files[ino]).meta:= inode.meta]) ∧ dcache-cons(dcache, dirs, files[ino, (ino ∈ files ⊃ files[ino].size:= inode.size;files[ino]).meta:= inode.meta]) ∧ pcache-cons(pcache, dirs, files[ino, (ino ∈ files ⊃ files[ino].size:= inode.size;files[ino]).meta:= inode.meta]) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files[ino, (ino ∈ files ⊃ files[ino].size:= inode.size;files[ino]).meta:= inode.meta], icache, pcache))), m2 ≤ m5 ∧ m2 % VFS_PAGE_SIZE ≠ 0

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 284:
# buf0 = VFS_PAGE_SIZE, asynced ↔ false, files0[m0] = mkfile(m1, md1, # links(m0, dirs), content0), pcache[datakey(m0, m2 / VFS_PAGE_SIZE)] = mkpentry(boolvar, buf0), err = ESUCCESS, inode = mkinode(m0, md0, false, # links(m0, dirs), 0, m5), afs-cons(dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]), afs-cons(dirs, files0), dcache-cons(dcache, dirs, files0), icache-cons(icache, dirs, files0), pcache-cons(pcache, dirs, files0), synced(dirs, icache, pcache), m0 ∈ files0, datakey(m0, m2 / VFS_PAGE_SIZE) ∈ pcache, asynced2 → synced(files0, icache, pcache) ⊦ ⟪pcache_truncate#(m0, m2, m5; err, pcache); inode0 := mkinode(m0, md0, false, # links(m0, dirs), 0, m5); ino := m0; files := files0[m0, mkfile(m1, md1, # links(m0, dirs), content0 upto min(m5, m2))]; asynced4 := false; if asynced4 then pcache_set# ((m0 ∈ dirs ⊃ mkinode(m0, dirs[m0].meta, true, dirs[m0].nlink, dirs[m0].nsubdirs, dirs[m0].size) ;mkinode (m0, (m0 = ino ∧ ino ∈ files ⊃ (files[ino].size:= inode0.size).meta:= inode0.meta;files[m0]).meta, false, (m0 = ino ∧ ino ∈ files ⊃ (files[ino].size:= inode0.size).meta:= inode0.meta;files[m0]).nlink, 0, (m0 = ino ∧ ino ∈ files ⊃ (files[ino].size:= inode0.size).meta:= inode0.meta;files[m0]).size) ) .ino, m2 / VFS_PAGE_SIZE, some(buf0).buf, false ; err, pcache); if ¬ asynced4 ∨ err ≠ ESUCCESS then buf-opt := none⟫ ( icache-cons (icache[inode.ino, mkientry(asynced, inode)], dirs, files[ino, (ino ∈ files ⊃ files[ino].size:= inode0.size;files[ino]).meta:= inode0.meta]) ∧ dcache-cons(dcache, dirs, files[ino, (ino ∈ files ⊃ files[ino].size:= inode0.size;files[ino]).meta:= inode0.meta]) ∧ pcache-cons(pcache, dirs, files[ino, (ino ∈ files ⊃ files[ino].size:= inode0.size;files[ino]).meta:= inode0.meta]) ∧ synced(dirs, icache[inode.ino, mkientry(asynced, inode)], pcache) ∧ ( asynced2 → synced (files[ino, (ino ∈ files ⊃ files[ino].size:= inode0.size;files[ino]).meta:= inode0.meta], icache[inode.ino, mkientry(asynced, inode)], pcache))), m2 ≤ m5 ∧ m2 % VFS_PAGE_SIZE ≠ 0

Proof step 283 from proof inv-truncate-buff-none-cached (previous step)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information