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Proof step 74 from proof inv-mkdir (previous step)

(dirs0[m0, mkdir(m3 + 1, md1, # links(m0, dirs0), m5 + 1, entries0[str, ino0])] ++ ino0)[m0] = mkdir(m, md0, m1, m2, entries), dirs0[m0] = mkdir(m3, md1, # links(m0, dirs0), m5, entries0), afs-cons ((dirs0[m0, mkdir(m3 + 1, md1, # links(m0, dirs0), m5 + 1, entries0[str, ino0])] ++ ino0)[ino0, mkdir(0, md, 1, 0, ∅)] [m0, mkdir(m, md2, m1, m2, entries) ], files), afs-cons(dirs0, files), dcache-cons (dcache[dentrykey(m0, str), mkdentry(str, ino0)], (dirs0[m0, mkdir(m3 + 1, md1, # links(m0, dirs0), m5 + 1, entries0[str, ino0])] ++ ino0)[ino0, mkdir(0, md, 1, 0, ∅)] [m0, mkdir(m, md2, m1, m2, entries) ], files), dcache-cons(dcache, dirs0, files), icache-cons (icache0[m0, mkientry(false, mkinode(m0, md2, true, m1, m2, m))][ino0, mkientry(false, mkinode(ino0, md, true, 1, 0, 0))], (dirs0[m0, mkdir(m3 + 1, md1, # links(m0, dirs0), m5 + 1, entries0[str, ino0])] ++ ino0)[ino0, mkdir(0, md, 1, 0, ∅)] [m0, mkdir(m, md2, m1, m2, entries) ], files), pcache-cons (pcache, (dirs0[m0, mkdir(m3 + 1, md1, # links(m0, dirs0), m5 + 1, entries0[str, ino0])] ++ ino0)[ino0, mkdir(0, md, 1, 0, ∅)] [m0, mkdir(m, md2, m1, m2, entries) ], files), pcache-cons(pcache, dirs0, files), synced ((dirs0[m0, mkdir(m3 + 1, md1, # links(m0, dirs0), m5 + 1, entries0[str, ino0])] ++ ino0)[ino0, mkdir(0, md, 1, 0, ∅)] [m0, mkdir(m, md2, m1, m2, entries) ], icache0[m0, mkientry(false, mkinode(m0, md2, true, m1, m2, m))][ino0, mkientry(false, mkinode(ino0, md, true, 1, 0, 0))], pcache), synced(dirs0, icache0, pcache), synced(files, icache0, pcache), m0 ∈ dirs0, links(m0, dirs0) ≠ ∅ ∨ m0 = ROOT_INO ⊦ ino0 = 0, synced(files, icache0[m0, mkientry(false, mkinode(m0, md2, true, m1, m2, m))][ino0, mkientry(false, mkinode(ino0, md, true, 1, 0, 0))], pcache), str ∈ entries0, ino0 ∈ files, ino0 ∈ dirs0

Heuristic use patterns applied rule weakening

And obtained the following new goals

Rule argument

poslist: left 7

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