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Proof step 690 from proof overwrite-write-page-clean (previous step)

(ino0 = ino ⊃ mkfile(m2, md0, m3, content0[m, buf]);files[ino0]) = mkfile(m4, md1, m5, content1), files[ino] = mkfile(m2, md0, m3, content0), ((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), ino0 ∈ files, ino ∈ files ⊦ (ino0 = ino ⊃ mkfile(m0, md, m1, content[m, buf]) ;mkfile(files[ino0].size, files[ino0].meta, files[ino0].nlink, files[ino0].content ⊕ mkcontent(ino0, pcache)) ) = mkfile(m4, md1, m5, content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)])), ino0 ∈ icache

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 691:
(ino0 = ino ⊃ mkfile(m2, md0, m3, content0[m, buf]);files[ino0]) = mkfile(m4, md1, m5, content1), ((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), files[ino] = mkfile(m2, md0, m3, content0), ino ∈ files, ino0 ∈ files, ino ∈ icache ⊦ (ino0 = ino ⊃ mkfile(m0, md, m1, content[m, buf]) ;mkfile(files[ino0].size, files[ino0].meta, files[ino0].nlink, files[ino0].content ⊕ mkcontent(ino0, pcache)) ) = mkfile(m4, md1, m5, content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)])), ino0 ∈ icache
Proof step 841:
(ino0 = ino ⊃ mkfile(m2, md0, m3, content0[m, buf]);files[ino0]) = mkfile(m4, md1, m5, content1), ((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), files[ino] = mkfile(m2, md0, m3, content0), ino ∈ files, ino0 ∈ files ⊦ (ino0 = ino ⊃ mkfile(m0, md, m1, content[m, buf]) ;mkfile(files[ino0].size, files[ino0].meta, files[ino0].nlink, files[ino0].content ⊕ mkcontent(ino0, pcache)) ) = mkfile(m4, md1, m5, content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)])), ino0 ∈ icache, ino ∈ icache

Rule argument

fma: ino ∈ icache

Additional information

Used formulas: ino ∈ icache