[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 77 from proof recovery (previous step)

ax0 = ax, ks1 = ks0, remove-refsize0(gstore5) = gstore5, elems nx1 ∩ jro4 = ∅, dom gstore5 ∪ elems nx1 = dom gstore2 ∪ jro4, jro1.keys.inodes?, jro6.keys.inodes?, fi3.inos < jmaxino, ri0.inos < jmaxino3, jro1 < jmaxino, jro6 < jmaxino3, inv(gstore5), inv(gstore2 \ jro4), log-cons(abs-log(nx1, gstore2 ↓), nodes(gstore2 ↓, jro4)), refsize-cons(gstore5, range fi3), refsize-cons(gstore2, range ri0), ri-inj(fi3), ri-inj(ri0), jmaxino ≤ jmaxino3, fi3.lebs ⊆ dom gstore5, ri0.lebs ⊆ dom gstore2, ⌊err0⌋ , jvalid8 ∧ nx1 ≠ [] → valid-journal-head(nx1, gstore2, jro4) ⊦ ⟨aubifs_core_recover#(jvalid2; ax0, ks0, fi5, ro1, fo1, ax, fs1; ri1, jvalid7, err1)⟩ (ri = ri1 ∧ fi = fi5 ∧ ro = ro1 ∧ fo = fo1 ∧ fs = fs1 ∧ log = ax0 ∧ (jvalid ↔ jvalid7) ∧ ax = ax0 ∧ ks1 = ks0 ∧ err0 = err1), jmaxino = 0, jmaxino3 = 0, dups(nx1)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 78:
jvalid0 ↔ jvalid2, ax = ax0, ax0 = ax1, fi = fi5, fo = fo1, fs = fs1, ks = ks0, ks1 = ks0, log = ax1, remove-refsize0(gstore5) = gstore5, ro = ro1, elems nx1 ∩ jro4 = ∅, dom gstore5 ∪ elems nx1 = dom gstore2 ∪ jro4, jro6.keys.inodes?, jro1.keys.inodes?, jro6 < jmaxino3, jro1 < jmaxino, ri0.inos < jmaxino3, fi3.inos < jmaxino, inv(gstore2 \ jro4), inv(gstore5), log-cons(abs-log(nx1, gstore2 ↓), nodes(gstore2 ↓, jro4)), refsize-cons(gstore2, range ri0), refsize-cons(gstore5, range fi3), ri-inj(ri0), ri-inj(fi3), jmaxino ≤ jmaxino3, ri0.lebs ⊆ dom gstore2, fi3.lebs ⊆ dom gstore5, ⌊err0⌋ , jvalid8 ∧ nx1 ≠ [] → valid-journal-head(nx1, gstore2, jro4) ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then {ri := fi, ro := fo, ax := log; ks := ro; jvalid := true} else ri := ?, fi := ?, fs := ?, log := ?, ro := ?, fo := ?, ax := ?, ks := ?, jvalid := ?⟩ (ri2 = ri ∧ fi0 = fi ∧ ro0 = ro ∧ fo0 = fo ∧ fs0 = fs ∧ log0 = ax ∧ (jvalid1 ↔ jvalid) ∧ log = ax ∧ ks1 = ks ∧ err0 = err), jmaxino = 0, jmaxino3 = 0, dups(nx1)

Rule argument

pos: right 1

Additional information

Used simplifier rules: aubifs_core_recover# (DOSYNC; AX, KS, FI, RO, FO, LOG, FS; RI, CSYNCED, ERR) {fail_or_success#(; ; ERR); if ERR = ESUCCESS then {RI := FI, RO := FO, AX := LOG; KS := RO; CSYNCED := true} else RI := ?, FI := ?, FS := ?, LOG := ?, RO := ?, FO := ?, AX := ?, KS := ?, CSYNCED := ? };