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Proof step 146 from proof refine-write_inode (previous step)

cache_files[m] = mkfile(m1, md1, # links(m, cache_dirs), content0), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m0, md0, # links(m, cache_dirs), content), cache_icache[m] = mkientry(boolvar, mkinode(m3, md2, boolvar0, m4, m5, m6)), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_files, cache_icache, cache_pcache), synced(cache_dirs, cache_icache, cache_pcache), m ∈ cache_files, m ∈ cache_icache ⊦ ⟨fail#(; ; err); asynced1 := ?⟩ ( (cache_files ⊕ cache_pcache) ⊕ cache_icache = (cache_files[m, mkfile(m2, md, # links(m, cache_dirs), content0)] ⊕ cache_pcache) ⊕ cache_icache[m3, mkientry(false, mkinode(m3, md, boolvar0, m4, m5, m2))] ∧ (asynced1 ↔ asynced0) ∧ ESUCCESS = err), ∃ asynced. ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m, mkfile(m0, md, # links(m, cache_dirs), content)] [m, ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m, mkfile(m0, md, # links(m, cache_dirs), content)][m].size:= m2 ] = (cache_files[m, (cache_files[m].meta:= md).size:= m2] ⊕ cache_pcache) ⊕ cache_icache[m3, mkientry(false, mkinode(m3, md, boolvar0, m4, m5, m2))] ∧ (asynced ↔ asynced0) ∧ ESUCCESS = ESUCCESS

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 147:
cache_files[m] = mkfile(m1, md1, # links(m, cache_dirs), content0), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m0, md0, # links(m, cache_dirs), content), cache_icache[m] = mkientry(boolvar, mkinode(m3, md2, boolvar0, m4, m5, m6)), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m, mkfile(m2, md, # links(m, cache_dirs), content)] ≠ (cache_files[m, mkfile(m2, md, # links(m, cache_dirs), content0)] ⊕ cache_pcache) ⊕ cache_icache[m3, mkientry(false, mkinode(m3, md, boolvar0, m4, m5, m2))], afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_files, cache_icache, cache_pcache), synced(cache_dirs, cache_icache, cache_pcache), m ∈ cache_files, m ∈ cache_icache ⊦ ⟨fail#(; ; err); asynced1 := ?⟩ ( (cache_files ⊕ cache_pcache) ⊕ cache_icache = (cache_files[m, mkfile(m2, md, # links(m, cache_dirs), content0)] ⊕ cache_pcache) ⊕ cache_icache[m3, mkientry(false, mkinode(m3, md, boolvar0, m4, m5, m2))] ∧ (asynced1 ↔ asynced0) ∧ ESUCCESS = err)

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content).meta:= md0 = mkfile(m, md0, m0, content); (s)% ⊦ files[ino, af][ino, af0] = files[ino, af0]; (s)% ⊦ mkfile(m, md, m0, content).size:= m1 = mkfile(m1, md, m0, content); (s)% ⊦ ino ∈ files ⊕ pcache ↔ ino ∈ files; (s)% ⊦ ino ∈ files ⊕ icache ↔ ino ∈ files; (s)% ⊦ files[ino, af][ino0] = (ino0 = ino ∧ ino ∈ files ⊃ af;files[ino0]); (s)