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Proof step 34 from proof fsync-others-unchanged (previous step)

files1[m] = mkfile(m1, md1, # links(m, dirs), content0), files0[m] = mkfile(m0, md0, # links(m, dirs), content), err0 = ESUCCESS, files2 = files1, icache = icache0, inode = mkinode(m, md, false, # links(m, dirs), 0, m2), inode1 = mkinode(m, md, false, # links(m, dirs), 0, m2), inode1 = mkinode(m3, md2, boolvar, m4, m5, m6), afs-cons(dirs, files1), afs-cons(dirs, files0), dcache-cons(dcache, dirs, files1), dcache-cons(dcache, dirs, files0), icache-cons(icache0, dirs, files1), icache-cons(icache0, dirs, files0), pcache-cons(pcache1, dirs, files1), pcache-cons(pcache0, dirs, files0), synced(dirs, icache0, pcache1), synced(dirs, icache0, pcache0), m ∈ files1, m ∈ files0, ∀ ino. ino ≠ m ∧ ino ∈ files0 → ino ∈ files1 ∧ mkfile(files1[ino].size, files1[ino].meta, files1[ino].nlink, files1[ino].content ⊕ mkcontent(ino, pcache1)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ⊦ [cache_fsync-inode#(; inode, err0, dirs, files1, icache, asynced)] ( inode.ino = m3 ∧ (∀ ino. ino ≠ inode.ino ∧ ino ∈ files2 → ino ∈ files1 ∧ (files1 ⊕ icache)[ino] = (files2 ⊕ icache0)[ino]) → [if err0 = ESUCCESS then afs_fsync#(inode, false, dirs, files1; ; asynced, err0)] ∀ ino. ino ≠ m ∧ ino ∈ files0 → ino ∈ files1 ∧ ((files1 ⊕ pcache1) ⊕ icache)[ino] = ((files0 ⊕ pcache0) ⊕ icache0)[ino])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 35:
files1[m] = mkfile(m1, md1, # links(m, dirs), content0), files0[m] = mkfile(m0, md0, # links(m, dirs), content), err0 = ESUCCESS, files2 = files1, icache = icache0, inode = mkinode(m, md, false, # links(m, dirs), 0, m2), afs-cons(dirs, files1), afs-cons(dirs, files0), dcache-cons(dcache, dirs, files1), dcache-cons(dcache, dirs, files0), icache-cons(icache0, dirs, files1), icache-cons(icache0, dirs, files0), pcache-cons(pcache1, dirs, files1), pcache-cons(pcache0, dirs, files0), synced(dirs, icache0, pcache1), synced(dirs, icache0, pcache0), m ∈ files1, m ∈ files0, ∀ ino. ino ≠ m ∧ ino ∈ files0 → ino ∈ files1 ∧ mkfile(files1[ino].size, files1[ino].meta, files1[ino].nlink, files1[ino].content ⊕ mkcontent(ino, pcache1)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ⊦ [cache_fsync-inode#(; inode, err0, dirs, files1, icache, asynced)] ( inode.ino = m ∧ (∀ ino. ino ≠ inode.ino ∧ ino ∈ files2 → ino ∈ files1 ∧ (files1 ⊕ icache)[ino] = (files2 ⊕ icache0)[ino]) → [if err0 = ESUCCESS then afs_fsync#(inode, false, dirs, files1; ; asynced, err0)] ∀ ino. ino ≠ inode.ino ∧ ino ∈ files0 → ino ∈ files1 ∧ ((files1 ⊕ pcache1) ⊕ icache)[ino] = ((files0 ⊕ pcache0) ⊕ icache0)[ino])

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2) = mkinode(m3, md0, boolvar0, m4, m5, m6) ↔ m = m3 ∧ md = md0 ∧ (boolvar ↔ boolvar0) ∧ m0 = m4 ∧ m1 = m5 ∧ m2 = m6; (ws)