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Proof step 14 from proof overwrite-write-inode-dirty (previous step)

icache[ino] = mkientry(boolvar, inode), ino ∈ files, ino ∈ icache, ino ∈ icache[ino, mkientry(true, (inode.meta:= md).size:= m)] ⊦ (((files ⊕ pcache) ⊕ icache)[ino].meta:= md).size:= m = mkfile (icache[ino, mkientry(true, (inode.meta:= md).size:= m)][ino].inode.size, icache[ino, mkientry(true, (inode.meta:= md).size:= m)][ino].inode.meta, icache[ino, mkientry(true, (inode.meta:= md).size:= m)][ino].inode.nlink, (files ⊕ pcache)[ino].content), inode.directory, icache[ino, mkientry(true, (inode.meta:= md).size:= m)][ino].inode.directory

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
icache[ino] = mkientry(boolvar, inode), ino ∈ icache, ino ∈ files ⊦ (((files ⊕ pcache) ⊕ icache)[ino].meta:= md).size:= m = mkfile(m, md, inode.nlink, files[ino].content ⊕ mkcontent(ino, pcache)), inode.directory

Rule argument

Additional information

Used simplifier rules: at-pcache-overwrite: ⊦ (files ⊕ pcache)[ino] = mkfile (files[ino].size, files[ino].meta, files[ino].nlink, files[ino].content ⊕ mkcontent(ino, pcache));% ⊦ (inode.meta:= md).directory ↔ inode.directory; (s)% ⊦ (inode.size:= m2).directory ↔ inode.directory; (s)% ⊦ ino ∈ icache[ino, ie]; (s)% ⊦ mkfile(m, md, m0, content).content = content; (s)% ⊦ (inode.meta:= md).nlink = inode.nlink; (s)% ⊦ (inode.size:= m2).nlink = inode.nlink; (s)% ⊦ (inode.meta:= md).meta = md; (s)% ⊦ (inode.size:= m2).meta = inode.meta; (s)% ⊦ (inode.size:= m2).size = m2; (s)% ⊦ mkientry(boolvar, inode).inode = inode; (s)% ⊦ icache[ino, ie][ino] = ie; (s)