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Proof step 64 from proof refine-check-commit (previous step)

jvalid ↔ jvalid2, fi = fi1, fi0 = fi1, fo = p_os.keys, fs = nodes(gstore2 ↓, jro2), log = abs-log(nx, gstore2 ↓), remove-refsize0(gstore1) = gstore1, ro = jro1.keys, 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 ⊦ ⟨if ri-cons(ri, fs) then {aubifs_core_commit#(ri, ro; fs, fi, fo, log; jvalid, err) or err := ESUCCESS} else abort⟩ (p_os.keys = fo ∧ fi0 = fi ∧ log = abs-log(nx, gstore2 ↓) ∧ fs = nodes(gstore2 ↓, jro2) ∧ (jvalid → jvalid0) ∧ ESUCCESS = err), jmaxino = 0, pmaxino = 0, dups(nx)

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 65:
jvalid ↔ jvalid2, fi = fi1, fi0 = fi1, fo = p_os.keys, fs = nodes(gstore2 ↓, jro2), log = abs-log(nx, gstore2 ↓), remove-refsize0(gstore1) = gstore1, ro = jro1.keys, dom remove-refsize0(gstore2) ∩ jro2 = ∅, elems nx ∩ jro2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro2, 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, jvalid2 → jvalid0, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro2) ⊦ ⟨aubifs_core_commit#(ri, ro; fs, fi, fo, log; jvalid, err) or err := ESUCCESS⟩ (p_os.keys = fo ∧ fi0 = fi ∧ log = abs-log(nx, gstore2 ↓) ∧ fs = nodes(gstore2 ↓, jro2) ∧ (jvalid → jvalid0) ∧ ESUCCESS = err), jmaxino = 0, pmaxino = 0, dups(nx)

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ri-cons(ri, fs) → ( ri-cons(ri0, fs0) ↔ (∀ key. (key ∈ ri → ri[key] ∈ fs ∧ key-cons(key, fs[ri[key]])) → key ∈ ri0 → ri0[key] ∈ fs0 ∧ key-cons(key, fs0[ri0[key]]))); (ss)