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Proof step 17 from proof refine-fsync (previous step)

((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m0, md0, m1, content), cache_icache[m] = mkientry(boolvar0, inode), inode = mkinode(m, md, boolvar, m3, m4, m5), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), m ∈ cache_files, m ∈ cache_icache, cache_sync → synced(cache_files, cache_icache, cache_pcache), (boolvar0 ⊃ m3 = cache_files[m].nlink ∧ m4 = 0 ∧ ¬ boolvar ;mkinode(m, md, boolvar, m3, m4, m5) = mkinode(m, cache_files[m].meta, false, cache_files[m].nlink, 0, cache_files[m].size) ) ⊦ m1 = cache_files[m].nlink

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
cache_icache[m] = mkientry(boolvar0, mkinode(m, md, boolvar, m3, m4, m5)), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m0, md0, m1, content), afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), dcache-cons(cache_dcache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), m ∈ cache_icache, m ∈ cache_files, cache_sync → synced(cache_files, cache_icache, cache_pcache), (boolvar0 ⊃ m3 = cache_files[m].nlink ∧ m4 = 0 ∧ ¬ boolvar ;mkinode(m, md, boolvar, m3, m4, m5) = mkinode(m, cache_files[m].meta, false, cache_files[m].nlink, 0, cache_files[m].size) ) ⊦ m1 = cache_files[m].nlink

Proof step 17 from proof refine-fsync (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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