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Proof step 888 from proof refine-truncate (previous step)

fs0[ri0[inodekey(m)]] = inodenode(key0, md0, false, m1, 0, m4), buf-opt = buf-opt0, dirs = abs-dirs(fs0, ri0), files = abs-files(fs0, ri0), p_inode = mkinode(m, md, false, m1, 0, m2), m2 % VFS_PAGE_SIZE ≠ 0, adr1 ≠ adr2, m ≠ 0, fo.inodes?, orphans(fs0, ri0).inodes?, afs-cons(abs-dirs(fs0, ri0), abs-files(fs0, ri0)), file-node-cons(fs0, ri0), 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])), log-cons(log0, fs0), orphans-cons(fs0, ri0, orphans(fs0, ri0)), 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)), replay-cons-strong(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), 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 '), ri-inj(fi), ri-inj(ri0), ri-inj(ri0[inodekey(m), adr2] \ datakeys(inodekey(m), m2, ri0[inodekey(m), adr2])), ubifs-cons(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), 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 '), ri0[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri0, m2 ≤ n0, ¬ buf-opt0.some?, ¬ adr2 ∈ fs0, ¬ adr1 ∈ fs0, ¬ datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri0, asynced → boolvar0 ⊦ ⟨afs_truncate#(n0, m2 / VFS_PAGE_SIZE; buf-opt0, p_inode, boolvar2, err1, dirs, files, asynced)⟩ ( afs-cons(dirs, files) → dirs = abs-dirs(fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2]) ∧ files = 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])) ∧ orphans (abs-dirs(fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2]), 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)) ∧ (asynced → boolvar4) ∧ buf-opt = buf-opt0 ∧ mkinode(m, md, false, m1, 0, n0) = p_inode ∧ ¬ boolvar2 ∧ ESUCCESS = err1)

User applied rule call right

And obtained the following new goals

Proof step 889:
boolvar ↔ boolvar2, fs0[ri0[inodekey(m)]] = inodenode(key0, md0, false, m1, 0, m4), buf-opt = buf-opt0, buf-opt1 = buf-opt0, dirs = abs-dirs(fs0, ri0), err = err1, files = abs-files(fs0, ri0), inode = p_inode, n = n0, p_inode = mkinode(m, md, false, m1, 0, m2), pageno1 = m2 / VFS_PAGE_SIZE, orphans(fs0, ri0).inodes?, fo.inodes?, afs-cons(abs-dirs(fs0, ri0), abs-files(fs0, ri0)), 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(m) ∈ ri0, ri0[inodekey(m)] ∈ fs0, m2 ≤ n0, asynced → boolvar0 ⊦ ⟨if pre-truncate(inode, n, pageno1, buf-opt, dirs, files) then let pageno0 = 0, pageno = 0 in afs_truncate_internal#(n, pageno1; inode, buf-opt, pageno0, pageno, boolvar, err, dirs, files; asynced) else abort⟩ ( afs-cons(dirs, files) → dirs = abs-dirs(fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2]) ∧ files = 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])) ∧ orphans (abs-dirs(fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2]), 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)) ∧ (asynced → boolvar4) ∧ buf-opt1 = buf-opt ∧ mkinode(m, md, false, m1, 0, n0) = inode ∧ ¬ boolvar ∧ ESUCCESS = err), m2 % VFS_PAGE_SIZE = 0, VFS_PAGE_SIZE = 0, adr1 = adr2, m = 0, buf-opt0.some?, adr2 ∈ fs0, adr1 ∈ fs0, datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri0

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_truncate# (N, PAGENO; PBUF-OPT, INODE, MODIFIED, ERR, DIRS, FILES, ASYNCED) {if pre-truncate(INODE, N, PAGENO, PBUF-OPT, DIRS, FILES) then let OFFSET = 0, SIZE = 0 in afs_truncate_internal# (N, PAGENO ; INODE, PBUF-OPT, OFFSET, SIZE, MODIFIED, ERR, DIRS, FILES ; ASYNCED) else abort };% ⊦ VFS_PAGE_SIZE ≠ 0; (s)