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Theorem base for Specification posix-pre

This is a listing of all goals defined over the current specification. Axioms are marked yellow, proved theorems green and unproved theorems blue. Click on individual names to get more information on the proof.

Name: Sequent: Type:
pre-truncate-esuccess ⊦ pre-truncate(p, n, ESUCCESS, user, root, fs, ofh) ↔ p ∈ root ∧ ¬ root[p].dir? ∧ pw(user, p, root, fs) An Axiom
pre-readdir-esuccess ⊦ pre-readdir(p, ESUCCESS, user, root, fs, ofh) ↔ p ∈ root ∧ root[p].dir? ∧ pr(user, p, root, fs) An Axiom
pre-writemeta-esuccess ⊦ pre-writemeta(p, md, ESUCCESS, user, root, fs, ofh) ↔ p ∈ root ∧ pw(user, p, root, fs) An Axiom
pre-readmeta-esuccess ⊦ pre-readmeta(p, ESUCCESS, user, root, fs, ofh) ↔ p ∈ root ∧ pr(user, p, root, fs) An Axiom
pre-seek-esuccess ⊦ pre-seek(fd, n, whence, ESUCCESS, user, root, fs, ofh) ↔ fd ∈ ofh An Axiom
pre-write-esuccess ⊦ pre-write(fd, buf, n, ESUCCESS, user, root, fs, ofh) ↔ fd ∈ ofh ∧ (ofh[fd].mode = MODE_W ∨ ofh[fd].mode = MODE_RW) An Axiom
pre-read-esuccess ⊦ pre-read(fd, n, ESUCCESS, user, root, fs, ofh) ↔ fd ∈ ofh ∧ (ofh[fd].mode = MODE_R ∨ ofh[fd].mode = MODE_RW) An Axiom
pre-close-esuccess ⊦ pre-close(fd, ESUCCESS, user, root, fs, ofh) ↔ fd ∈ ofh An Axiom
pre-open-esuccess⊦ pre-open(p, mode, ESUCCESS, user, root, fs, ofh) ↔ p ∈ root ∧ ¬ root[p].dir? ∧ (mode = MODE_R ∨ mode = MODE_RW → pr(user, p, root, fs)) ∧ (mode = MODE_W ∨ mode = MODE_RW → pw(user, p, root, fs)) An Axiom
pre-link-esuccess⊦ pre-link(p, p', ESUCCESS, user, root, fs, ofh) ↔ p ∈ root ∧ ¬ root[p].dir? ∧ ¬ p' ∈ root ∧ parent(p') ∈ root ∧ root[parent(p')].dir? ∧ px(user, parent(p), root, fs) ∧ py(user, parent(p'), root, fs) An Axiom
pre-renam-esuccess⊦ pre-renam(p, p', ESUCCESS, user, root, fs, ofh) ↔ p' ≠ ε ∧ p ∈ root ∧ ¬ p ⊑ p' ∧ parent(p') ∈ root ∧ root[parent(p')].dir? ∧ (p' ∈ root → (root[p].dir? ↔ root[p'].dir?)) ∧ (p' ∈ root ∧ root[p'].dir? → root[p'].entries = ∅) ∧ py(user, parent(p), root, fs) ∧ py(user, parent(p'), root, fs) ∧ (root[p].dir? → pw(user, p, root, fs)) An Axiom
pre-unlink-esuccess ⊦ pre-unlink(p, ESUCCESS, user, root, fs, ofh) ↔ p ≠ ε ∧ p ∈ root ∧ ¬ root[p].dir? ∧ py(user, parent(p), root, fs) An Axiom
pre-create-esuccess ⊦ pre-create(p, md, ESUCCESS, user, root, fs, ofh) ↔ ¬ p ∈ root ∧ parent(p) ∈ root ∧ root[parent(p)].dir? ∧ py(user, parent(p), root, fs) An Axiom
pre-rmdir-esuccess ⊦ pre-rmdir(p, ESUCCESS, user, root, fs, ofh) ↔ p ≠ ε ∧ p ∈ root ∧ root[p].dir? ∧ root[p].entries = ∅ ∧ py(user, parent(p), root, fs) An Axiom
pre-mkdir-elowlevel ⊦ ⌊err⌋ → pre-mkdir(p, md, err, user, root, fs, ofh) An Axiom
pre-mkdir-eaccess ⊦ pre-mkdir(p, md, EACCESS, user, root, fs, ofh) ↔ ¬ py(user, parent(p), root, fs) An Axiom
pre-mkdir-ebadfd ⊦ ¬ pre-mkdir(p, md, EBADFD, user, root, fs, ofh) An Axiom
pre-mkdir-enotdir ⊦ pre-mkdir(p, md, ENOTDIR, user, root, fs, ofh) ↔ ¬ root[parent(p)].dir? An Axiom
pre-mkdir-enotempty ⊦ ¬ pre-mkdir(p, md, ENOTEMPTY, user, root, fs, ofh) An Axiom
pre-mkdir-eisdir ⊦ ¬ pre-mkdir(p, md, EISDIR, user, root, fs, ofh) An Axiom
pre-mkdir-enotent ⊦ pre-mkdir(p, md, ENOENT, user, root, fs, ofh) ↔ ¬ parent(p) ∈ root An Axiom
pre-mkdir-eexists ⊦ pre-mkdir(p, md, EEXISTS, user, root, fs, ofh) ↔ p ∈ root An Axiom
pre-mkdir-esuccess ⊦ pre-mkdir(p, md, ESUCCESS, user, root, fs, ofh) ↔ ¬ p ∈ root ∧ parent(p) ∈ root ∧ root[parent(p)].dir? ∧ py(user, parent(p), root, fs) An Axiom
pre-truncate-elowlevel ⊦ ⌊err⌋ → pre-truncate(p, n, err, user, root, fs, ofh) An Axiom
pre-truncate-eaccess ⊦ pre-truncate(p, n, EACCESS, user, root, fs, ofh) ↔ ¬ pw(user, p, root, fs) An Axiom
pre-truncate-ebadfd ⊦ ¬ pre-truncate(p, n, EBADFD, user, root, fs, ofh) An Axiom
pre-truncate-enotdir ⊦ ¬ pre-truncate(p, n, ENOTDIR, user, root, fs, ofh) An Axiom
pre-truncate-enotempty ⊦ ¬ pre-truncate(p, n, ENOTEMPTY, user, root, fs, ofh) An Axiom
pre-truncate-eisdir ⊦ pre-truncate(p, n, EISDIR, user, root, fs, ofh) ↔ root[p].dir? An Axiom
pre-truncate-enoent ⊦ pre-truncate(p, n, ENOENT, user, root, fs, ofh) ↔ ¬ p ∈ root An Axiom
pre-truncate-eexists ⊦ ¬ pre-truncate(p, n, EEXISTS, user, root, fs, ofh) An Axiom
pre-readdir-elowlevel ⊦ ⌊err⌋ → pre-readdir(p, err, user, root, fs, ofh) An Axiom
pre-readdir-eaccess ⊦ pre-readdir(p, EACCESS, user, root, fs, ofh) ↔ ¬ pr(user, p, root, fs) An Axiom
pre-readdir-ebadfd ⊦ ¬ pre-readdir(p, EBADFD, user, root, fs, ofh) An Axiom
pre-readdir-enotdir ⊦ pre-readdir(p, ENOTDIR, user, root, fs, ofh) ↔ ¬ root[p].dir? An Axiom
pre-readdir-enotempty ⊦ ¬ pre-readdir(p, ENOTEMPTY, user, root, fs, ofh) An Axiom
pre-readdir-eisdir ⊦ ¬ pre-readdir(p, EISDIR, user, root, fs, ofh) An Axiom
pre-readdir-enoent ⊦ pre-readdir(p, ENOENT, user, root, fs, ofh) ↔ ¬ p ∈ root An Axiom
pre-readdir-eexists ⊦ ¬ pre-readdir(p, EEXISTS, user, root, fs, ofh) An Axiom
pre-writemeta-elowlevel ⊦ ⌊err⌋ → pre-writemeta(p, md, err, user, root, fs, ofh) An Axiom
pre-writemeta-eaccess ⊦ pre-writemeta(p, md, EACCESS, user, root, fs, ofh) ↔ ¬ pw(user, p, root, fs) An Axiom
pre-writemeta-ebadfd ⊦ ¬ pre-writemeta(p, md, EBADFD, user, root, fs, ofh) An Axiom
pre-writemeta-enotdir ⊦ ¬ pre-writemeta(p, md, ENOTDIR, user, root, fs, ofh) An Axiom
pre-writemeta-enotempty ⊦ ¬ pre-writemeta(p, md, ENOTEMPTY, user, root, fs, ofh) An Axiom
pre-writemeta-eisdir ⊦ ¬ pre-writemeta(p, md, EISDIR, user, root, fs, ofh) An Axiom
pre-writemeta-enoent ⊦ pre-writemeta(p, md, ENOENT, user, root, fs, ofh) ↔ ¬ p ∈ root An Axiom
pre-writemeta-eexists ⊦ ¬ pre-writemeta(p, md, EEXISTS, user, root, fs, ofh) An Axiom
pre-readmeta-elowlevel ⊦ ⌊err⌋ → pre-readmeta(p, err, user, root, fs, ofh) An Axiom
pre-readmeta-eaccess ⊦ pre-readmeta(p, EACCESS, user, root, fs, ofh) ↔ ¬ pr(user, p, root, fs) An Axiom
pre-readmeta-ebadfd ⊦ ¬ pre-readmeta(p, EBADFD, user, root, fs, ofh) An Axiom
pre-readmeta-enotdir ⊦ ¬ pre-readmeta(p, ENOTDIR, user, root, fs, ofh) An Axiom
pre-readmeta-enotempty ⊦ ¬ pre-readmeta(p, ENOTEMPTY, user, root, fs, ofh) An Axiom
pre-readmeta-eisdir ⊦ ¬ pre-readmeta(p, EISDIR, user, root, fs, ofh) An Axiom
pre-readmeta-enoent ⊦ pre-readmeta(p, ENOENT, user, root, fs, ofh) ↔ ¬ p ∈ root An Axiom
pre-readmeta-eexists ⊦ ¬ pre-readmeta(p, EEXISTS, user, root, fs, ofh) An Axiom
pre-seek-elowlevel ⊦ ⌊err⌋ → pre-seek(fd, n, whence, err, user, root, fs, ofh) An Axiom
pre-seek-eaccess ⊦ ¬ pre-seek(fd, n, whence, EACCESS, user, root, fs, ofh) An Axiom
pre-seek-ebadfd ⊦ pre-seek(fd, n, whence, EBADFD, user, root, fs, ofh) ↔ ¬ fd ∈ ofh An Axiom
pre-seek-enotdir ⊦ ¬ pre-seek(fd, n, whence, ENOTDIR, user, root, fs, ofh) An Axiom
pre-seek-enotempty ⊦ ¬ pre-seek(fd, n, whence, ENOTEMPTY, user, root, fs, ofh) An Axiom
pre-seek-eisdir ⊦ ¬ pre-seek(fd, n, whence, EISDIR, user, root, fs, ofh) An Axiom
pre-seek-enoent ⊦ ¬ pre-seek(fd, n, whence, ENOENT, user, root, fs, ofh) An Axiom
pre-seek-eexists ⊦ ¬ pre-seek(fd, n, whence, EEXISTS, user, root, fs, ofh) An Axiom
pre-write-elowlevel ⊦ ⌊err⌋ → pre-write(fd, buf, n, err, user, root, fs, ofh) An Axiom
pre-write-eaccess ⊦ ¬ pre-write(fd, buf, n, EACCESS, user, root, fs, ofh) An Axiom
pre-write-ebadfd ⊦ pre-write(fd, buf, n, EBADFD, user, root, fs, ofh) ↔ ¬ fd ∈ ofh ∨ ofh[fd].mode ≠ MODE_W ∧ ofh[fd].mode ≠ MODE_RW An Axiom
pre-write-enotdir ⊦ ¬ pre-write(fd, buf, n, ENOTDIR, user, root, fs, ofh) An Axiom
pre-write-enotempty ⊦ ¬ pre-write(fd, buf, n, ENOTEMPTY, user, root, fs, ofh) An Axiom
pre-write-eisdir ⊦ ¬ pre-write(fd, buf, n, EISDIR, user, root, fs, ofh) An Axiom
pre-write-enoent ⊦ ¬ pre-write(fd, buf, n, ENOENT, user, root, fs, ofh) An Axiom
pre-write-eexists ⊦ ¬ pre-write(fd, buf, n, EEXISTS, user, root, fs, ofh) An Axiom
pre-read-elowlevel ⊦ ⌊err⌋ → pre-read(fd, n, err, user, root, fs, ofh) An Axiom
pre-read-eaccess ⊦ ¬ pre-read(fd, n, EACCESS, user, root, fs, ofh) An Axiom
pre-read-ebadfd ⊦ pre-read(fd, n, EBADFD, user, root, fs, ofh) ↔ ¬ fd ∈ ofh ∨ ofh[fd].mode ≠ MODE_R ∧ ofh[fd].mode ≠ MODE_RW An Axiom
pre-read-enotdir ⊦ ¬ pre-read(fd, n, ENOTDIR, user, root, fs, ofh) An Axiom
pre-read-enotempty ⊦ ¬ pre-read(fd, n, ENOTEMPTY, user, root, fs, ofh) An Axiom
pre-read-eisdir ⊦ ¬ pre-read(fd, n, EISDIR, user, root, fs, ofh) An Axiom
pre-read-enoent ⊦ ¬ pre-read(fd, n, ENOENT, user, root, fs, ofh) An Axiom
pre-read-eexists ⊦ ¬ pre-read(fd, n, EEXISTS, user, root, fs, ofh) An Axiom
pre-close-elowlevel ⊦ ⌊err⌋ → pre-close(fd, err, user, root, fs, ofh) An Axiom
pre-close-eaccess ⊦ ¬ pre-close(fd, EACCESS, user, root, fs, ofh) An Axiom
pre-close-ebadfd ⊦ pre-close(fd, EBADFD, user, root, fs, ofh) ↔ ¬ fd ∈ ofh An Axiom
pre-close-enotdir ⊦ ¬ pre-close(fd, ENOTDIR, user, root, fs, ofh) An Axiom
pre-close-enotempty ⊦ ¬ pre-close(fd, ENOTEMPTY, user, root, fs, ofh) An Axiom
pre-close-eisdir ⊦ ¬ pre-close(fd, EISDIR, user, root, fs, ofh) An Axiom
pre-close-enoent ⊦ ¬ pre-close(fd, ENOENT, user, root, fs, ofh) An Axiom
pre-close-eexists ⊦ ¬ pre-close(fd, EEXISTS, user, root, fs, ofh) An Axiom
pre-open-elowlevel ⊦ ⌊err⌋ → pre-open(p, mode, err, user, root, fs, ofh) An Axiom
pre-open-eaccess⊦ pre-open(p, mode, EACCESS, user, root, fs, ofh) ↔ (mode = MODE_R ∨ mode = MODE_RW) ∧ ¬ pr(user, p, root, fs) ∨ (mode = MODE_W ∨ mode = MODE_RW) ∧ ¬ pw(user, p, root, fs) ∨ ¬ px(user, parent(p), root, fs) An Axiom
pre-open-ebadfd ⊦ ¬ pre-open(p, mode, EBADFD, user, root, fs, ofh) An Axiom
pre-open-enotdir ⊦ ¬ pre-open(p, mode, ENOTDIR, user, root, fs, ofh) An Axiom
pre-open-enotempty ⊦ ¬ pre-open(p, mode, ENOTEMPTY, user, root, fs, ofh) An Axiom
pre-open-eisdir ⊦ pre-open(p, mode, EISDIR, user, root, fs, ofh) ↔ root[p].dir? An Axiom
pre-open-enoent ⊦ pre-open(p, mode, ENOENT, user, root, fs, ofh) ↔ ¬ p ∈ root An Axiom
pre-open-eexists ⊦ ¬ pre-open(p, mode, EEXISTS, user, root, fs, ofh) An Axiom
pre-link-elowlevel ⊦ ⌊err⌋ → pre-link(p, p', err, user, root, fs, ofh) An Axiom
pre-link-eaccess ⊦ pre-link(p, p', EACCESS, user, root, fs, ofh) ↔ ¬ px(user, parent(p), root, fs) ∨ ¬ py(user, parent(p'), root, fs) An Axiom
pre-link-ebadfd ⊦ ¬ pre-link(p, p', EBADFD, user, root, fs, ofh) An Axiom
pre-link-enotdir ⊦ pre-link(p, p', ENOTDIR, user, root, fs, ofh) ↔ ¬ root[parent(p)].dir? ∨ ¬ root[parent(p')].dir? An Axiom
pre-link-enotempty ⊦ ¬ pre-link(p, p', ENOTEMPTY, user, root, fs, ofh) An Axiom
pre-link-eisdir ⊦ pre-link(p, p', EISDIR, user, root, fs, ofh) ↔ root[p].dir? ∨ root[p'].dir? An Axiom
pre-link-enoent ⊦ pre-link(p, p', ENOENT, user, root, fs, ofh) ↔ ¬ p ∈ root ∨ ¬ parent(p') ∈ root An Axiom
pre-link-eexists ⊦ pre-link(p, p', EEXISTS, user, root, fs, ofh) ↔ p' ∈ root An Axiom
pre-renam-elowlevel ⊦ ⌊err⌋ → pre-renam(p, p', err, user, root, fs, ofh) An Axiom
pre-renam-eaccess ⊦ ¬ pre-renam(p, p', EACCESS, user, root, fs, ofh) An Axiom
pre-renam-ebadfd ⊦ ¬ pre-renam(p, p', EBADFD, user, root, fs, ofh) An Axiom
pre-renam-enotdir ⊦ ¬ pre-renam(p, p', ENOTDIR, user, root, fs, ofh) An Axiom
pre-renam-enotempty ⊦ ¬ pre-renam(p, p', ENOTEMPTY, user, root, fs, ofh) An Axiom
pre-renam-eisdir ⊦ ¬ pre-renam(p, p', EISDIR, user, root, fs, ofh) An Axiom
pre-renam-enoent ⊦ ¬ pre-renam(p, p', ENOENT, user, root, fs, ofh) An Axiom
pre-renam-eexists ⊦ ¬ pre-renam(p, p', EEXISTS, user, root, fs, ofh) An Axiom
pre-unlink-elowlevel ⊦ ⌊err⌋ → pre-unlink(p, err, user, root, fs, ofh) An Axiom
pre-unlink-eaccess ⊦ pre-unlink(p, EACCESS, user, root, fs, ofh) ↔ p = ε ∨ ¬ py(user, parent(p), root, fs) An Axiom
pre-unlink-ebadfd ⊦ ¬ pre-unlink(p, EBADFD, user, root, fs, ofh) An Axiom
pre-unlink-enotdir ⊦ pre-unlink(p, ENOTDIR, user, root, fs, ofh) ↔ ¬ root[parent(p)].dir? An Axiom
pre-unlink-enotempty ⊦ ¬ pre-unlink(p, ENOTEMPTY, user, root, fs, ofh) An Axiom
pre-unlink-eisdir ⊦ pre-unlink(p, EISDIR, user, root, fs, ofh) ↔ root[p].dir? An Axiom
pre-unlink-enoent ⊦ pre-unlink(p, ENOENT, user, root, fs, ofh) ↔ ¬ p ∈ root An Axiom
pre-unlink-eexists ⊦ ¬ pre-unlink(p, EEXISTS, user, root, fs, ofh) An Axiom
pre-create-elowlevel ⊦ ⌊err⌋ → pre-create(p, md, err, user, root, fs, ofh) An Axiom
pre-create-eaccess ⊦ pre-create(p, md, EACCESS, user, root, fs, ofh) ↔ ¬ py(user, parent(p), root, fs) An Axiom
pre-create-ebadfd ⊦ ¬ pre-create(p, md, EBADFD, user, root, fs, ofh) An Axiom
pre-create-enotdir ⊦ pre-create(p, md, ENOTDIR, user, root, fs, ofh) ↔ ¬ root[parent(p)].dir? An Axiom
pre-create-enotempty ⊦ ¬ pre-create(p, md, ENOTEMPTY, user, root, fs, ofh) An Axiom
pre-create-eisdir ⊦ ¬ pre-create(p, md, EISDIR, user, root, fs, ofh) An Axiom
pre-create-enoent ⊦ pre-create(p, md, ENOENT, user, root, fs, ofh) ↔ ¬ parent(p) ∈ root An Axiom
pre-create-eexists ⊦ pre-create(p, md, EEXISTS, user, root, fs, ofh) ↔ p ∈ root An Axiom
pre-rmdir-elowlevel ⊦ ⌊err⌋ → pre-rmdir(p, err, user, root, fs, ofh) An Axiom
pre-rmdir-eaccess ⊦ pre-rmdir(p, EACCESS, user, root, fs, ofh) ↔ p = ε ∨ ¬ py(user, parent(p), root, fs) An Axiom
pre-rmdir-ebadfd ⊦ ¬ pre-rmdir(p, EBADFD, user, root, fs, ofh) An Axiom
pre-rmdir-enotdir ⊦ pre-rmdir(p, ENOTDIR, user, root, fs, ofh) ↔ ¬ root[parent(p)].dir? ∨ ¬ root[p].dir? An Axiom
pre-rmdir-enotempty ⊦ pre-rmdir(p, ENOTEMPTY, user, root, fs, ofh) ↔ root[p].entries ≠ ∅ An Axiom
pre-rmdir-eisdir ⊦ ¬ pre-rmdir(p, EISDIR, user, root, fs, ofh) An Axiom
pre-rmdir-enoent ⊦ pre-rmdir(p, ENOENT, user, root, fs, ofh) ↔ ¬ p ∈ root An Axiom
pre-rmdir-eexists ⊦ ¬ pre-rmdir(p, EEXISTS, user, root, fs, ofh) An Axiom
pre-fsync-elowlevel ⊦ ⌊err⌋ → pre-fsync(p, datasyncp, err, user, root, fs, ofh) An Axiom
pre-fsync-eaccess ⊦ pre-fsync(p, datasyncp, EACCESS, user, root, fs, ofh) ↔ ¬ pr(user, p, root, fs) ∨ ¬ px(user, parent(p), root, fs) An Axiom
pre-fsync-ebadfd ⊦ ¬ pre-fsync(p, datasyncp, EBADFD, user, root, fs, ofh) An Axiom
pre-fsync-enotdir ⊦ ¬ pre-fsync(p, datasyncp, ENOTDIR, user, root, fs, ofh) An Axiom
pre-fsync-enotempty ⊦ ¬ pre-fsync(p, datasyncp, ENOTEMPTY, user, root, fs, ofh) An Axiom
pre-fsync-eisdir ⊦ pre-fsync(p, datasyncp, EISDIR, user, root, fs, ofh) ↔ root[p].dir? An Axiom
pre-fsync-enoent ⊦ pre-fsync(p, datasyncp, ENOENT, user, root, fs, ofh) ↔ ¬ p ∈ root An Axiom
pre-fsync-eexists ⊦ ¬ pre-fsync(p, datasyncp, EEXISTS, user, root, fs, ofh) An Axiom
pre-fsync-esuccess ⊦ pre-fsync(p, datasyncp, ESUCCESS, user, root, fs, ofh) ↔ p ∈ root ∧ ¬ root[p].dir? ∧ pr(user, p, root, fs) An Axiom
pre-close-efail ⊦ pre-close(fd, EFAIL, user, root, fs, ofh) A User Theorem
pre-create-efail ⊦ pre-create(p, md, EFAIL, user, root, fs, ofh) A User Theorem
pre-link-efail ⊦ pre-link(p, p', EFAIL, user, root, fs, ofh) A User Theorem
pre-mkdir-efail ⊦ pre-mkdir(p, md, EFAIL, user, root, fs, ofh) A User Theorem
pre-open-efail ⊦ pre-open(p, mode, EFAIL, user, root, fs, ofh) A User Theorem
pre-read-efail ⊦ pre-read(fd, n, EFAIL, user, root, fs, ofh) A User Theorem
pre-readdir-efail ⊦ pre-readdir(p, EFAIL, user, root, fs, ofh) A User Theorem
pre-readmeta-efail ⊦ pre-readmeta(p, EFAIL, user, root, fs, ofh) A User Theorem
pre-renam-efail ⊦ pre-renam(p, p', EFAIL, user, root, fs, ofh) A User Theorem
pre-rmdir-efail ⊦ pre-rmdir(p, EFAIL, user, root, fs, ofh) A User Theorem
pre-seek-efail ⊦ pre-seek(fd, n, whence, EFAIL, user, root, fs, ofh) A User Theorem
pre-truncate-efail ⊦ pre-truncate(p, n, EFAIL, user, root, fs, ofh) A User Theorem
pre-unlink-efail ⊦ pre-unlink(p, EFAIL, user, root, fs, ofh) A User Theorem
pre-write-efail ⊦ pre-write(fd, buf, n, EFAIL, user, root, fs, ofh) A User Theorem
pre-writemeta-efail ⊦ pre-writemeta(p, md, EFAIL, user, root, fs, ofh) A User Theorem