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Proof step 1 from proof inv-fsync (conclusion)

icache-cons(icache, dirs, files), dcache-cons(dcache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), asynced → synced(files, icache, pcache), afs-cons(dirs, files), valid-file-inode(inode, dirs, files) ⊦ ⟪cache_fsync#(inode, asynced0, asynced; dirs, files, icache, pcache, asynced1; err)⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced → synced(files, icache, pcache)) ∧ afs-cons(dirs, files))

System applied rule normalize

And obtained the following new goals

Proof step 2:
afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), valid-file-inode(inode, dirs, files), asynced → synced(files, icache, pcache) ⊦ ⟪cache_fsync#(inode, asynced0, asynced; dirs, files, icache, pcache, asynced1; err)⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced → synced(files, icache, pcache)) ∧ afs-cons(dirs, files))

Proof step 1 from proof inv-fsync (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information