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Proof step 31 from proof overwrite-write-inode-clean-file (previous step)

files[ino] = mkfile(m4, md1, m5, content), icache[ino] = mkientry(boolvar, mkinode(m0, md0, false, m1, m2, m3)), ino0 ∈ files, ino ∈ files, ino ∈ icache ⊦ (ino0 = ino ⊃ mkfile(m, md, m1, content ⊕ mkcontent(ino, pcache));((files ⊕ pcache) ⊕ icache)[ino0]) = ((files[ino, mkfile(m, md, m5, content)] ⊕ pcache) ⊕ icache[ino, mkientry(false, mkinode(m0, md, false, m1, m2, m))])[ino0], ino0 ∈ icache

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
icache[ino] = mkientry(boolvar, mkinode(m0, md0, false, m1, m2, m3)), files[ino] = mkfile(m4, md1, m5, content), ino ∈ icache, ino ∈ files, ino0 ∈ files ⊦ mkfile(files[ino0].size, files[ino0].meta, files[ino0].nlink, files[ino0].content ⊕ mkcontent(ino0, pcache)) = ((files[ino, mkfile(m, md, m5, content)] ⊕ pcache) ⊕ icache[ino, mkientry(false, mkinode(m0, md, false, m1, m2, m))])[ino0], ino0 ∈ icache

Rule argument

Additional information

Used simplifier rules: at-icache-overwrite-not-cached: ⊦ ¬ ino ∈ icache → (files ⊕ icache)[ino] = files[ino];%at-pcache-overwrite: ⊦ (files ⊕ pcache)[ino] = mkfile (files[ino].size, files[ino].meta, files[ino].nlink, files[ino].content ⊕ mkcontent(ino, pcache));