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Proof step 134 from proof refine-writemeta (previous step)

(ino1 ∈ dirs ⊃ mkinode(ino1, dirs[ino1].meta, true, dirs[ino1].nlink, dirs[ino1].nsubdirs, dirs[ino1].size) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ) = mkinode(m, md0, boolvar, m0, m1, m2), root[path].dir? ↔ ino1 ∈ dirs, asynced ↔ bv, err = err0, err2 = ESUCCESS, fs = abs-files(files), root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md0), px-parent(user, path, ROOT_INO, dirs, files), psynced → asynced0, ino1 ∈ dirs ∨ ino1 ∈ files, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪skip⟫ ⟨posix_writemeta#(path, md, user, abs-of(of); err1, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err1), err = ESUCCESS

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 135:
(ino1 ∈ dirs ⊃ mkinode(ino1, dirs[ino1].meta, true, dirs[ino1].nlink, dirs[ino1].nsubdirs, dirs[ino1].size) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ) = mkinode(m, md0, boolvar, m0, m1, m2), root[path].dir? ↔ ino1 ∈ dirs, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md0), px-parent(user, path, ROOT_INO, dirs, files), ⌊err0⌋ , psynced → asynced0, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ ⟪skip⟫ ⟨fs := abs-files(files); posix_writemeta#(path, md, user, abs-of(of); err1, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err0 = err1)

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)