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Proof step 513 from proof inv-rename-file-dentry (previous step)

icache0[m3, mkientry(false, mkinode(m3, md2, true, # links(m3, dirs0), m4, m1))] [entries[str0], mkientry(false, mkinode(entries[str0], md3, false, # links(entries[str0], dirs0), 0, m)) ] [ino ] .inode = mkinode(m2, md, boolvar, m5, m6, m7), files[entries[str0]] = mkfile(m0, md0, # links(entries[str0], dirs0), content), dirs0[m3] = mkdir(m1, md1, # links(m3, dirs0), m4, entries), afs-cons (dirs0[m3, mkdir(m1, md2, # links(m3, dirs0), m4, entries)], files[entries[str0], mkfile(m, md3, # links(entries[str0], dirs0), content)]), afs-cons(dirs0, files), icache-cons(icache0, dirs0, files), synced(dirs0, icache0, pcache), entries[str0] ∈ files, str0 ∈ entries, m3 ∈ dirs0, ino ∈ icache0[m3, mkientry(false, mkinode(m3, md2, true, # links(m3, dirs0), m4, m1))] [entries[str0], mkientry(false, mkinode(entries[str0], md3, false, # links(entries[str0], dirs0), 0, m)) ], asynced2 → synced(files, icache0, pcache), links(m3, dirs0) ≠ ∅ ∨ m3 = ROOT_INO ⊦ entries[str0] ∈ dirs0, m2 = ino ∧ (icache0[m3, mkientry(false, mkinode(m3, md2, true, # links(m3, dirs0), m4, m1))] [entries[str0], mkientry(false, mkinode(entries[str0], md3, false, # links(entries[str0], dirs0), 0, m)) ] [ino ] .dirty ⊃ m2 ∈ files ∧ m5 = (m2 = entries[str0] ⊃ mkfile(m, md3, # links(entries[str0], dirs0), content);files[m2]).nlink ∧ m6 = 0 ∧ ¬ boolvar ; (ino ∈ dirs0 ∨ ino ∈ files) ∧ icache0[m3, mkientry(false, mkinode(m3, md2, true, # links(m3, dirs0), m4, m1))] [entries[str0], mkientry(false, mkinode(entries[str0], md3, false, # links(entries[str0], dirs0), 0, m)) ] [ino ] .inode = (m2 ∈ dirs0 ⊃ mkinode (m2, (m2 = m3 ⊃ mkdir(m1, md2, # links(m3, dirs0), m4, entries);dirs0[m2]).meta, true, (m2 = m3 ⊃ mkdir(m1, md2, # links(m3, dirs0), m4, entries);dirs0[m2]).nlink, (m2 = m3 ⊃ mkdir(m1, md2, # links(m3, dirs0), m4, entries);dirs0[m2]).nsubdirs, (m2 = m3 ⊃ mkdir(m1, md2, # links(m3, dirs0), m4, entries);dirs0[m2]).size) ;mkinode (m2, (m2 = entries[str0] ⊃ mkfile(m, md3, # links(entries[str0], dirs0), content);files[m2]).meta, false, (m2 = entries[str0] ⊃ mkfile(m, md3, # links(entries[str0], dirs0), content);files[m2]).nlink, 0, (m2 = entries[str0] ⊃ mkfile(m, md3, # links(entries[str0], dirs0), content);files[m2]).size) ) )

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 514:
icache0[m3, mkientry(false, mkinode(m3, md2, true, # links(m3, dirs0), m4, m1))] [entries[str0], mkientry(false, mkinode(entries[str0], md3, false, # links(entries[str0], dirs0), 0, m)) ] [ino ] .inode = mkinode(m2, md, boolvar, m5, m6, m7), files[entries[str0]] = mkfile(m0, md0, # links(entries[str0], dirs0), content), dirs0[m3] = mkdir(m1, md1, # links(m3, dirs0), m4, entries), afs-cons (dirs0[m3, mkdir(m1, md2, # links(m3, dirs0), m4, entries)], files[entries[str0], mkfile(m, md3, # links(entries[str0], dirs0), content)]), afs-cons(dirs0, files), icache-cons(icache0, dirs0, files), synced(dirs0, icache0, pcache), entries[str0] ∈ files, str0 ∈ entries, m3 ∈ dirs0, ino ∈ icache0[m3, mkientry(false, mkinode(m3, md2, true, # links(m3, dirs0), m4, m1))] [entries[str0], mkientry(false, mkinode(entries[str0], md3, false, # links(entries[str0], dirs0), 0, m)) ], asynced2 → synced(files, icache0, pcache), links(m3, dirs0) ≠ ∅ ∨ m3 = ROOT_INO ⊦ entries[str0] ∈ dirs0, m2 = ino ∧ (icache0[m3, mkientry(false, mkinode(m3, md2, true, # links(m3, dirs0), m4, m1))] [entries[str0], mkientry(false, mkinode(entries[str0], md3, false, # links(entries[str0], dirs0), 0, m)) ] [ino ] .dirty ⊃ ino ∈ files ∧ m5 = (ino = entries[str0] ⊃ mkfile(m, md3, # links(entries[str0], dirs0), content);files[ino]).nlink ∧ m6 = 0 ∧ ¬ boolvar ; (ino ∈ dirs0 ∨ ino ∈ files) ∧ mkinode(ino, md, boolvar, m5, m6, m7) = (ino ∈ dirs0 ⊃ mkinode (ino, (ino = m3 ⊃ mkdir(m1, md2, # links(m3, dirs0), m4, entries);dirs0[ino]).meta, true, (ino = m3 ⊃ mkdir(m1, md2, # links(m3, dirs0), m4, entries);dirs0[ino]).nlink, (ino = m3 ⊃ mkdir(m1, md2, # links(m3, dirs0), m4, entries);dirs0[ino]).nsubdirs, (ino = m3 ⊃ mkdir(m1, md2, # links(m3, dirs0), m4, entries);dirs0[ino]).size) ;mkinode (ino, (ino = entries[str0] ⊃ mkfile(m, md3, # links(entries[str0], dirs0), content);files[ino]).meta, false, (ino = entries[str0] ⊃ mkfile(m, md3, # links(entries[str0], dirs0), content);files[ino]).nlink, 0, (ino = entries[str0] ⊃ mkfile(m, md3, # links(entries[str0], dirs0), content);files[ino]).size) ) )

Proof step 513 from proof inv-rename-file-dentry (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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