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Proof step 9 from proof recovery (previous step)

jro1.keys = fo0, fi = fi3, fs0 = nodes(gstore2 ↓, jro4), gstore0 = crash(gstore2, gstore1, jro4, nx1), log0 = abs-log(nx1, gstore2 ↓), remove-refsize0(gstore1) = gstore1, elems nx1 ∩ jro4 = ∅, dom gstore1 ∪ elems nx1 = dom gstore2 ∪ jro4, jmaxino ≠ 0, jmaxino3 ≠ 0, jro2.keys.inodes?, jro1.keys.inodes?, jro2 < jmaxino3, jro1 < jmaxino, ri0.inos < jmaxino3, fi3.inos < jmaxino, inv(gstore2 \ jro4), inv(gstore1), log-cons(abs-log(nx1, gstore2 ↓), nodes(gstore2 ↓, jro4)), refsize-cons(gstore2, range ri0), refsize-cons(gstore1, range fi3), ri-inj(ri0), ri-inj(fi3), jmaxino ≤ jmaxino3, ri0.lebs ⊆ dom gstore2, fi3.lebs ⊆ dom gstore1, ¬ dups(nx1), jvalid8 ∧ nx1 ≠ [] → valid-journal-head(nx1, gstore2, jro4) ⊦ ⟪index_recover#(; jmaxino0, nx, jro0, fi, nx1, jmaxino, jro1, jro4, gstore0, gstore1; fi0, jvalid1, err); log := ax; ks := ks0; if err ≠ ESUCCESS then debug#("gjournal: persistence recover failed") else {gjournal_restore_log#(nx, fi0, fi, jro4, gstore0, gstore1, nx1, jmaxino, jro1, jvalid1; log; err); ks := jro0.keys}⟫ ( ( err = ESUCCESS → (∃ ro. ⟨aubifs_core_recover#(jvalid2; ax, ks0, fi3, ro, fo0, log0, fs0; ri, jvalid, err0)⟩ ( jro0.keys = ro ∧ jro1.keys = fo0 ∧ fi0 = ri ∧ fi = fi3 ∧ log0 = abs-log(nx1, gstore0 ↓) ∧ fs0 = nodes(gstore0 ↓, jro4) ∧ (jvalid → jvalid1) ∧ log = ax ∧ ks = ks0 ∧ ESUCCESS = err0))) ∧ ( err ≠ ESUCCESS → (∀ ri, fi, ro, fo, fs, log0, jvalid0. ⟨aubifs_core_recover#(jvalid2; ax, ks0, fi5, ro1, fo1, log, fs1; ri1, jvalid7, err0)⟩ (ri = ri1 ∧ fi = fi5 ∧ ro = ro1 ∧ fo = fo1 ∧ fs = fs1 ∧ log0 = ax ∧ (jvalid0 ↔ jvalid7) ∧ log = ax ∧ ks = ks0 ∧ err = err0))))

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 10:
jro1.keys = fo0, fi = fi3, fi0 = fi, fs0 = nodes(gstore2 ↓, jro4), gstore = gstore1, gstore0 = crash(gstore2, gstore1, jro4, nx1), jmaxino = jmaxino0, jro = jro4, log0 = abs-log(nx1, gstore2 ↓), nx = nx1, nx0 = nx2, p_os = jro1, pmaxino = jmaxino1, remove-refsize0(gstore1) = gstore1, elems nx1 ∩ jro4 = ∅, dom gstore1 ∪ elems nx1 = dom gstore2 ∪ jro4, jro1.keys.inodes?, jro2.keys.inodes?, fi3.inos < jmaxino1, ri0.inos < jmaxino3, jro1 < jmaxino1, jro2 < jmaxino3, inv(gstore1), inv(gstore2 \ jro4), log-cons(abs-log(nx1, gstore2 ↓), nodes(gstore2 ↓, jro4)), refsize-cons(gstore1, range fi3), refsize-cons(gstore2, range ri0), ri-inj(fi3), ri-inj(ri0), jmaxino1 ≤ jmaxino3, fi3.lebs ⊆ dom gstore1, ri0.lebs ⊆ dom gstore2, jvalid8 ∧ nx1 ≠ [] → valid-journal-head(nx1, gstore2, jro4) ⊦ ⟪fail_or_success#(; ; err); if err = ESUCCESS then jmaxino := pmaxino, jvalid := true, nx0 := nx, jro0 := p_os, fi := fi0 else jro := ?, jvalid := ?, gstore0 := ?, gstore := ?, nx := ?, pmaxino := ?, p_os := ?, jmaxino := ?, nx0 := ?, jro0 := ?, fi := ?, fi0 := ?; log := ax; ks := ks0; jvalid1 := jvalid, fi0 := fi, gstore1 := gstore, jro4 := jro, jro1 := p_os, jmaxino1 := pmaxino, nx1 := nx, fi := fi0, nx2 := nx0; if err ≠ ESUCCESS then debug#("gjournal: persistence recover failed") else {gjournal_restore_log#(nx2, fi0, fi, jro4, gstore0, gstore1, nx1, jmaxino1, jro1, jvalid1; log; err); ks := jro0.keys}⟫ ( ( err = ESUCCESS → (∃ ro. ⟨aubifs_core_recover#(jvalid2; ax, ks0, fi3, ro, fo0, log0, fs0; ri, jvalid, err0)⟩ ( jro0.keys = ro ∧ jro1.keys = fo0 ∧ fi0 = ri ∧ fi = fi3 ∧ log0 = abs-log(nx1, gstore0 ↓) ∧ fs0 = nodes(gstore0 ↓, jro4) ∧ (jvalid → jvalid1) ∧ log = ax ∧ ks = ks0 ∧ ESUCCESS = err0))) ∧ ( err ≠ ESUCCESS → (∀ ri, fi, ro, fo, fs, log0, jvalid0. ⟨aubifs_core_recover#(jvalid2; ax, ks0, fi5, ro1, fo1, log, fs1; ri1, jvalid7, err0)⟩ (ri = ri1 ∧ fi = fi5 ∧ ro = ro1 ∧ fo = fo1 ∧ fs = fs1 ∧ log0 = ax ∧ (jvalid0 ↔ jvalid7) ∧ log = ax ∧ ks = ks0 ∧ err = err0)))), jmaxino1 = 0, jmaxino3 = 0, dups(nx1)

Rule argument

pos: right 1

Additional information

Used simplifier rules: index_recover# (; PMAXINO0, PNL0, P_OS0, PFI, PNL, PMAXINO, P_OS, PINVAL, PSTORE, PSTORE0 ; PRI, ISYNCED, ERR ) {fail_or_success#(; ; ERR); if ERR = ESUCCESS then PMAXINO0 := PMAXINO, ISYNCED := true, PNL0 := PNL, P_OS0 := P_OS, PRI := PFI else PINVAL := ?, ISYNCED := ?, PSTORE := ?, PSTORE0 := ?, PNL := ?, PMAXINO := ?, P_OS := ?, PMAXINO0 := ?, PNL0 := ?, P_OS0 := ?, PRI := ?, PFI := ? };