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Proof step 8 from proof overwrite-write-inode-dirty (previous step)

icache[ino] = mkientry(boolvar, inode), ino0 ∈ icache, ino ∈ icache, ino ∈ files, ino0 ∈ files, ino0 ∈ icache[ino, mkientry(true, (inode.meta:= md).size:= m)] ⊦ (ino0 = ino ⊃ (((files ⊕ pcache) ⊕ icache)[ino].meta:= md).size:= m;((files ⊕ pcache) ⊕ icache)[ino0]) = ((files ⊕ pcache) ⊕ icache[ino, mkientry(true, (inode.meta:= md).size:= m)])[ino0], inode.directory

Heuristic if-then-else split applied rule case distinction

And obtained the following new goals

Proof step 9:
icache[ino] = mkientry(boolvar, inode), ino0 = ino, ino0 ∈ icache[ino, mkientry(true, (inode.meta:= md).size:= m)], ino0 ∈ files, ino ∈ files, ino ∈ icache, ino0 ∈ icache ⊦ (((files ⊕ pcache) ⊕ icache)[ino].meta:= md).size:= m = ((files ⊕ pcache) ⊕ icache[ino, mkientry(true, (inode.meta:= md).size:= m)])[ino0], inode.directory
Proof step 20:
icache[ino] = mkientry(boolvar, inode), ino0 ∈ icache[ino, mkientry(true, (inode.meta:= md).size:= m)], ino0 ∈ files, ino ∈ files, ino ∈ icache, ino0 ∈ icache ⊦ ((files ⊕ pcache) ⊕ icache)[ino0] = ((files ⊕ pcache) ⊕ icache[ino, mkientry(true, (inode.meta:= md).size:= m)])[ino0], ino0 = ino, inode.directory

Rule argument

pos: right 1

Proof step 8 from proof overwrite-write-inode-dirty (previous step)

Heuristic if-then-else split applied rule case distinction

And obtained the following new goals

Rule argument

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