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Proof step 1065 from proof refine-truncate (previous step)

fs0[ri0[inodekey(ino)]].nlink = # links(ino, abs-dirs(fs0, ri0)), fs0[ri0[inodekey(ino)]].nsubdirs = # subdirs(ino, abs-dirs(fs0, ri0)), fs0[ri0[inodekey(ino)]].size = # abs-children(ino, fs0, ri0), abs-files(fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2])[ino] = mkfile(m0, md1, m3, content), fs0[ri0[inodekey(m)]] = inodenode(key0, md0, false, m1, 0, m4), abs-files(fs0, ri0)[m, mkfile(n0, md, m1, abs-content(m, fs0, ri0) upto m2)] = abs-files (fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), m2, ri0[inodekey(m), adr2])), abs-dirs(fs0, ri0) = abs-dirs(fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2]), fs0[ri0[inodekey(ino)]].directory, fs0[ri0[inodekey(ROOT_INO)]].directory, (adr1 = ri0[inodekey(fs0[ri0[dentrykey(ino, name)]].ino)] ⊃ truncnode(inodekey(m), m2);fs0[ri0[inodekey(fs0[ri0[dentrykey(ino, name)]].ino)]]) .directory, orphans(fs0, ri0).inodes?, fo.inodes?, afs-cons(abs-dirs(fs0, ri0), abs-files(fs0, ri0)), afs-cons(abs-dirs(fs0, ri0), abs-files(fs0, ri0)[m, mkfile(n0, md, m1, abs-content(m, fs0, ri0) upto m2)]), file-node-cons (fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), m2, ri0[inodekey(m), adr2])), file-node-cons(fs0, ri0), log-cons(log0, fs0), orphans-cons (fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), m2, ri0[inodekey(m), adr2]), orphans(fs0, ri0)), orphans-cons(fs0, ri0, orphans(fs0, ri0)), replay-cons-strong (fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), m2, ri0[inodekey(m), adr2]), orphans(fs0, ri0), fi, fo, (log0 + adr1 ') + adr2 '), replay-cons-strong(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), ri-inj(ri0[inodekey(m), adr2] \ datakeys(inodekey(m), m2, ri0[inodekey(m), adr2])), ri-inj(ri0), ri-inj(fi), ubifs-cons (fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), m2, ri0[inodekey(m), adr2]), orphans(fs0, ri0), fi, fo, (log0 + adr1 ') + adr2 '), ubifs-cons(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), inodekey(fs0[ri0[dentrykey(ino, name)]].ino) ∈ ri0, dentrykey(ino, name) ∈ ri0, inodekey(ino) ∈ ri0, inodekey(m) ∈ ri0, ri0[inodekey(m)] ∈ fs0, inodekey(ROOT_INO) ∈ ri0, m2 ≤ n0, # links(ino, abs-dirs(fs0, ri0)) ≤ 1, ino ≠ ROOT_INO ∧ links(ino, abs-dirs(fs0, ri0)) = ∅ → abs-children(ino, fs0, ri0) = ∅, asynced0 → boolvar0 ⊦ m2 % VFS_PAGE_SIZE = 0, adr1 = adr2, adr1 = ri0[inodekey(ino)], adr2 = ri0[inodekey(ino)], adr2 = ri0[inodekey(fs0[ri0[dentrykey(ino, name)]].ino)], ino = m, m = fs0[ri0[dentrykey(ino, name)]].ino, m = 0, orphans (abs-dirs(fs0, ri0), abs-files(fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2])) = abs-keys(orphans(fs0, ri0)), fs0[ri0[inodekey(fs0[ri0[dentrykey(ino, name)]].ino)]].directory, buf-opt0.some?, datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri0, adr1 ∈ fs0, adr2 ∈ fs0

Heuristic nonsplitting cut applied rule cut formula

And closed the goal!

Rule argument

fma: adr1 = ri0[inodekey(fs0[ri0[dentrykey(ino, name)]].ino)]

Additional information

Used simplifier rules: ⊦ key ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → ri[key] ∈ fs; (ss) Used formulas: adr1 = ri0[inodekey(fs0[ri0[dentrykey(ino, name)]].ino)]