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Proof step 22 from proof refine-commit (previous step)

fi = fi1, fo = p_os.keys, fs = nodes(gstore2 ↓, jro0), jro2 = jro1, log = abs-log(nx, gstore2 ↓), remove-refsize0(gstore1) = gstore1, elems nx ∩ jro0 = ∅, dom remove-refsize0(gstore2) ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, jmaxino ≠ 0, pmaxino ≠ 0, p_os.keys.inodes?, jro1.keys.inodes?, fi1.inos < pmaxino, ri.inos < jmaxino, p_os < pmaxino, jro1 < jmaxino, inv(gstore1), inv(gstore2 \ jro0), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro0)), refsize-cons(gstore1, range fi1), refsize-cons(gstore2, range ri), ri-cons(ri, nodes(gstore2 ↓, jro0)), ri-inj(fi1), ri-inj(ri), pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore1, ri.lebs ⊆ dom gstore2, ¬ dups(nx), jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0), jvalid2 → jvalid ⊦ ⟪index_commit#(jmaxino, ri, true; jro2, jro0, gstore2, fi, gstore1, nx, pmaxino, p_os; err)⟫ ⟨aubifs_core_commit#(ri, jro1.keys; fs, fi1, fo, log; jvalid2, err1)⟩ (p_os.keys = fo ∧ fi = fi1 ∧ log = abs-log(nx, gstore2 ↓) ∧ fs = nodes(gstore2 ↓, jro0) ∧ err = err1)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 23:
jvalid ↔ true, fi = fi1, fi0 = ri, fo = p_os.keys, fs = nodes(gstore2 ↓, jro3), gstore = gstore1, gstore0 = gstore2, jro = jro3, jro0 = jro2, jro2 = jro1, log = abs-log(nx, gstore2 ↓), remove-refsize0(gstore1) = gstore1, dom remove-refsize0(gstore2) ∩ jro3 = ∅, elems nx ∩ jro3 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro3, jro1.keys.inodes?, p_os.keys.inodes?, jro1 < jmaxino, p_os < pmaxino, ri.inos < jmaxino, fi1.inos < pmaxino, inv(gstore2 \ jro3), inv(gstore1), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro3)), refsize-cons(gstore2, range ri), refsize-cons(gstore1, range fi1), ri-cons(ri, nodes(gstore2 ↓, jro3)), 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, jro3) ⊦ ⟪if jvalid ∧ dom remove-refsize0(gstore0) ∩ jro = ∅ then {fail_or_success#(; ; err); if err = ESUCCESS then {gstore0 := remove-refsize0(gstore0); gstore := gstore0; jro := ∅; p_os := jro0; nx := []; pmaxino := jmaxino; fi := fi0}; jro0 := ?} else abort⟫ ⟨aubifs_core_commit#(ri, jro1.keys; fs, fi1, fo, log; jvalid2, err1)⟩ (p_os.keys = fo ∧ fi = fi1 ∧ log = abs-log(nx, gstore0 ↓) ∧ fs = nodes(gstore0 ↓, jro) ∧ err = err1), jmaxino = 0, pmaxino = 0, dups(nx)

Rule argument

pos: right 1

Additional information

Used simplifier rules: index_commit# (PMAXINO0, PRI, ISYNCED ; P_OS0, PINVAL, PSTORE, PFI, PSTORE0, PNL, PMAXINO, P_OS ; ERR ) {if ISYNCED ∧ dom remove-refsize0(PSTORE) ∩ PINVAL = ∅ then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then {PSTORE := remove-refsize0(PSTORE); PSTORE0 := PSTORE; PINVAL := ∅; P_OS := P_OS0; PNL := []; PMAXINO := PMAXINO0; PFI := PRI}; P_OS0 := ?} else abort };