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Proof step 7 from proof refine-check-commit (previous step)

remove-refsize0(gstore1) = gstore1, dom remove-refsize0(gstore2) ∩ jro2 = ∅, elems nx ∩ jro2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro2, jmaxino ≠ 0, pmaxino ≠ 0, jro1.keys.inodes?, p_os.keys.inodes?, jro1 < jmaxino, p_os < pmaxino, ri.inos < jmaxino, fi1.inos < pmaxino, inv(gstore2 \ jro2), inv(gstore1), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro2)), refsize-cons(gstore2, range ri), refsize-cons(gstore1, range fi1), ri-cons(ri, nodes(gstore2 ↓, jro2)), ri-inj(ri), ri-inj(fi1), pmaxino ≤ jmaxino, ri.lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1, ¬ dups(nx), jvalid2 → jvalid0, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro2) ⊦ ⟪index_requires_commit#(ri, fi1, jro2, gstore2, gstore1, nx, pmaxino, p_os, jvalid0; ; jvalid); log := abs-log(nx, gstore2 ↓); gstore0 := gstore2; fs := nodes(gstore2 ↓, jro2); fi := fi1; fo := p_os.keys; if jvalid then gjournal_commit#(jmaxino, jro1, ri; fi, jro2, gstore0, gstore1, nx, pmaxino, p_os, jvalid0; err) else err := ESUCCESS⟫ ⟨aubifs_core_check_commit#(ri, jro1.keys; fi1, fo, fs, log, jvalid2; err0)⟩ (p_os.keys = fo ∧ fi = fi1 ∧ log = abs-log(nx, gstore0 ↓) ∧ fs = nodes(gstore0 ↓, jro2) ∧ (jvalid2 → jvalid0) ∧ err = err0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 8:
fi = fi1, fi0 = ri, gstore = gstore1, gstore0 = gstore2, jro = jro2, remove-refsize0(gstore1) = gstore1, elems nx ∩ jro2 = ∅, dom remove-refsize0(gstore2) ∩ jro2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro2, p_os.keys.inodes?, jro1.keys.inodes?, fi1.inos < pmaxino, ri.inos < jmaxino, p_os < pmaxino, jro1 < jmaxino, inv(gstore1), inv(gstore2 \ jro2), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro2)), refsize-cons(gstore1, range fi1), refsize-cons(gstore2, range ri), ri-cons(ri, nodes(gstore2 ↓, jro2)), ri-inj(fi1), ri-inj(ri), pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore1, ri.lebs ⊆ dom gstore2, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro2), jvalid2 → jvalid0 ⊦ ⟪jvalid := ?; log := abs-log(nx, gstore2 ↓); gstore0 := gstore2; fs := nodes(gstore2 ↓, jro2); fi := fi1; fo := p_os.keys; if jvalid then gjournal_commit#(jmaxino, jro1, ri; fi, jro2, gstore0, gstore1, nx, pmaxino, p_os, jvalid0; err) else err := ESUCCESS⟫ ⟨aubifs_core_check_commit#(ri, jro1.keys; fi1, fo, fs, log, jvalid2; err0)⟩ (p_os.keys = fo ∧ fi = fi1 ∧ log = abs-log(nx, gstore0 ↓) ∧ fs = nodes(gstore0 ↓, jro2) ∧ (jvalid2 → jvalid0) ∧ err = err0), jmaxino = 0, pmaxino = 0, dups(nx)

Rule argument

pos: right 1

Additional information

Used simplifier rules: index_requires_commit# (PRI, PFI, PINVAL, PSTORE, PSTORE0, PNL, PMAXINO, P_OS, ISYNCED ; ; COMMIT? ) {COMMIT? := ?};