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Proof step 65 from proof fsync-others-unchanged (previous step)

(files ⊕ icache1)[ino] = (files1 ⊕ icache0)[ino], files0[m] = mkfile(m0, md0, # links(m, dirs1), content), files1[m] = mkfile(m1, md1, # links(m, dirs1), content0), files1[ino] = mkfile(m2, md, # links(ino, dirs1), content1), files0[ino] = mkfile(m2, md, # links(ino, dirs1), content2), icache1[ino] = mkientry(boolvar0, mkinode(m3, md2, boolvar, m4, m5, m6)), content1 ⊕ mkcontent(ino, pcache1) = content2 ⊕ mkcontent(ino, pcache0), afs-cons(dirs1, files0), afs-cons(dirs1, files1), dcache-cons(dcache, dirs1, files0), dcache-cons(dcache, dirs1, files1), icache-cons(icache0, dirs1, files0), icache-cons(icache0, dirs1, files1), pcache-cons(pcache0, dirs1, files0), pcache-cons(pcache1, dirs1, files1), synced(dirs1, icache0, pcache0), synced(dirs1, icache0, pcache1), ino ∈ files, ino ∈ files1, m ∈ files0, m ∈ files1, m ∈ files, ino ∈ files0, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ((files ⊕ pcache1) ⊕ icache1)[ino] = ((files0 ⊕ pcache0) ⊕ icache0)[ino], ino = m, ino ∈ icache1 ∧ ¬ boolvar, ino ∈ icache1 ∧ icache1[ino].inode.directory

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 66:
(files ⊕ icache1)[ino] = (files1 ⊕ icache0)[ino], files0[m] = mkfile(m0, md0, # links(m, dirs1), content), files1[m] = mkfile(m1, md1, # links(m, dirs1), content0), files1[ino] = mkfile(m2, md, # links(ino, dirs1), content1), files0[ino] = mkfile(m2, md, # links(ino, dirs1), content2), icache1[ino] = mkientry(boolvar0, mkinode(m3, md2, boolvar, m4, m5, m6)), content1 ⊕ mkcontent(ino, pcache1) = content2 ⊕ mkcontent(ino, pcache0), afs-cons(dirs1, files0), afs-cons(dirs1, files1), dcache-cons(dcache, dirs1, files0), dcache-cons(dcache, dirs1, files1), icache-cons(icache0, dirs1, files0), icache-cons(icache0, dirs1, files1), pcache-cons(pcache0, dirs1, files0), pcache-cons(pcache1, dirs1, files1), synced(dirs1, icache0, pcache0), synced(dirs1, icache0, pcache1), ino ∈ files, ino ∈ files1, m ∈ files0, m ∈ files1, m ∈ files, ino ∈ files0, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ((files ⊕ pcache1) ⊕ icache1)[ino] = ((files0 ⊕ pcache0) ⊕ icache0)[ino], ino = m, ino ∈ icache1 ∧ ¬ boolvar, ino ∈ icache1 ∧ boolvar

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).directory ↔ boolvar; (s)% ⊦ mkientry(boolvar, inode).inode = inode; (s)