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Proof step 330 from proof refine-write_inode (previous step)

cache_icache[m3] = mkientry(boolvar, mkinode(m3, md2, boolvar0, # links(m3, cache_dirs), 0, m6)), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m3] = mkfile(m0, md0, # links(m3, cache_dirs), content), cache_files[m3] = mkfile(m1, md1, # links(m3, cache_dirs), content0), 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), m3 ∈ cache_files, m3 ∈ cache_icache, (boolvar ⊃ ¬ boolvar0;mkinode(m3, md2, boolvar0, # links(m3, cache_dirs), 0, m6) = mkinode(m3, md1, false, # links(m3, cache_dirs), 0, m1)) ⊦ ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m3, mkfile(m2, md, # links(m3, cache_dirs), content)] = (cache_files ⊕ cache_pcache) ⊕ cache_icache[m3, mkientry(true, mkinode(m3, md, boolvar0, # links(m3, cache_dirs), 0, m2))]

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 331:
cache_files[m3] = mkfile(m1, md1, # links(m3, cache_dirs), content0), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m3] = mkfile(m0, md0, # links(m3, cache_dirs), content), cache_icache[m3] = mkientry(boolvar, mkinode(m3, md2, boolvar0, # links(m3, cache_dirs), 0, m6)), ¬ boolvar0, 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), m3 ∈ cache_icache, m3 ∈ cache_files, (boolvar ⊃ ¬ boolvar0;mkinode(m3, md2, boolvar0, # links(m3, cache_dirs), 0, m6) = mkinode(m3, md1, false, # links(m3, cache_dirs), 0, m1)) ⊦ ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m3, mkfile(m2, md, # links(m3, cache_dirs), content)] = (cache_files ⊕ cache_pcache) ⊕ cache_icache[m3, mkientry(true, mkinode(m3, md, boolvar0, # links(m3, cache_dirs), 0, m2))]

Rule argument

fma: ¬ boolvar0

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) Used formulas: ¬ boolvar0