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Proof step 103 from proof refine-write-inode (previous step)

fs0[ri[inodekey(m)]] = inodenode(key, md0, boolvar2, m0, m1, m3), ¬ boolvar0, dirs = abs-dirs(fs0, ri), files = abs-files(fs0, ri), orphans(fs0, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs0, ri), abs-files(fs0, ri)), file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, orphans(fs0, ri)), replay-cons-strong(fs0, ri, orphans(fs0, ri), fi, fo, log0), ri-cons(ri, fs0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs0, ri, orphans(fs0, ri), fi, fo, log0), inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs0, asynced0 → boolvar1, ¬ boolvar2 ∧ ¬ boolvar0 ∨ boolvar2 ∧ boolvar0 ∧ m2 = m3, boolvar2 ∧ m2 = m3 ∧ boolvar0 ∨ ¬ boolvar2 ∧ m1 = 0 ∧ ¬ boolvar0 ⊦ ⟨fail#(; ; err); asynced0 := ?⟩ ( abs-dirs(fs0, ri) = abs-dirs(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) ∧ abs-files(fs0, ri) = abs-files(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) ∧ orphans(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) = orphans(fs0, ri) ∧ (asynced0 → boolvar) ∧ ESUCCESS = err), m = 0, adr1 ∈ fs0, ∃ asynced. afs-cons(dirs, files[m, files[m].meta:= md][m, files[m, files[m].meta:= md][m].size:= m2]) → dirs = abs-dirs(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) ∧ files[m, files[m].meta:= md][m, files[m, files[m].meta:= md][m].size:= m2] = abs-files(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) ∧ orphans(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) = orphans(fs0, ri) ∧ (asynced → boolvar) ∧ ESUCCESS = ESUCCESS

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 104:
fs0[ri[inodekey(m)]] = inodenode(key, md0, false, m0, 0, m3), m ≠ 0, orphans(fs0, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs0, ri), abs-files(fs0, ri)), afs-cons(abs-dirs(fs0, ri), abs-files(fs0, ri)[m, mkfile(m2, md, m0, abs-content(m, fs0, ri))]), file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, orphans(fs0, ri)), replay-cons-strong(fs0, ri, orphans(fs0, ri), fi, fo, log0), ri-cons(ri, fs0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs0, ri, orphans(fs0, ri), fi, fo, log0), inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs0, ¬ adr1 ∈ fs0, asynced0 → boolvar1 ⊦ ⟨fail#(; ; err); asynced0 := ?⟩ ( abs-dirs(fs0, ri) = abs-dirs(fs0[adr1, inodenode(inodekey(m), md, false, m0, 0, m2)], ri[inodekey(m), adr1]) ∧ abs-files(fs0, ri) = abs-files(fs0[adr1, inodenode(inodekey(m), md, false, m0, 0, m2)], ri[inodekey(m), adr1]) ∧ orphans(fs0[adr1, inodenode(inodekey(m), md, false, m0, 0, m2)], ri[inodekey(m), adr1]) = orphans(fs0, ri) ∧ (asynced0 → boolvar) ∧ ESUCCESS = err), abs-dirs(fs0, ri) = abs-dirs(fs0[adr1, inodenode(inodekey(m), md, false, m0, 0, m2)], ri[inodekey(m), adr1]) ∧ abs-files(fs0, ri)[m, mkfile(m2, md, m0, abs-content(m, fs0, ri))] = abs-files(fs0[adr1, inodenode(inodekey(m), md, false, m0, 0, m2)], ri[inodekey(m), adr1]) ∧ orphans(fs0[adr1, inodenode(inodekey(m), md, false, m0, 0, m2)], ri[inodekey(m), adr1]) = orphans(fs0, ri)

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content).size:= m1 = mkfile(m1, md, m0, content); (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).nlink = m; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).size = m1; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).directory ↔ boolvar; (s)% ⊦ files[ino, af][ino, af0] = files[ino, af0]; (s)% ⊦ mkfile(m, md, m0, content).meta:= md0 = mkfile(m, md0, m0, content); (s)%⊦ abs-file(ino, fs, ri) = mkfile (fs[ri[inodekey(ino)]].size, fs[ri[inodekey(ino)]].meta, fs[ri[inodekey(ino)]].nlink, abs-content(ino, fs, ri)); (s)%⊦ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory → abs-files(fs, ri)[ino] = abs-file(ino, fs, ri); (s)%⊦ ino ∈ abs-files(fs, ri) ↔ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory; (s)% ⊦ files[ino, af][ino0] = (ino0 = ino ∧ ino ∈ files ⊃ af;files[ino0]); (s)