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Proof step 8 from proof inv-format (previous step)

⊦ ⟪index_format#(jmaxino2, LEB_SIZE, ROOT_INO + 1; ; fi0, fi, jro0, gstore0, gstore, nx, pmaxino, p_os, jvalid1, err); if err ≠ ESUCCESS then debug#("gjournal: persistence format failed"); jro := ∅⟫ ( err = ESUCCESS → jvalid1 ∧ jro < ROOT_INO + 1 ∧ p_os < pmaxino ∧ pmaxino ≤ ROOT_INO + 1 ∧ fi0.inos < ROOT_INO + 1 ∧ fi.inos < pmaxino ∧ ROOT_INO + 1 ≠ 0 ∧ pmaxino ≠ 0 ∧ (true ∧ nx ≠ [] → valid-journal-head(nx, gstore0, jro0)) ∧ fi0.lebs ⊆ dom gstore0 ∧ fi.lebs ⊆ dom gstore ∧ refsize-cons(gstore0, range fi0) ∧ refsize-cons(gstore, range fi) ∧ inv(gstore0 \ jro0) ∧ inv(gstore) ∧ elems nx ∩ jro0 = ∅ ∧ ¬ dups(nx) ∧ dom gstore ∪ elems nx = dom gstore0 ∪ jro0 ∧ remove-refsize0(gstore) = gstore ∧ ri-inj(fi0) ∧ ri-inj(fi))

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 9:
jmaxino = ROOT_INO + 1, jmaxino0 = LEB_SIZE, jmaxino1 = jmaxino2 ⊦ ⟪if jmaxino0 = LEB_SIZE then {fail_or_success#(; ; err); if err = ESUCCESS then pmaxino := jmaxino, jvalid := true, p_os := ∅, nx := [], gstore0 := ∅, gstore := ∅, jro := ∅, fi0 := ∅, fi := ∅ else pmaxino := ?, jvalid := ?, p_os := ?, nx := ?, gstore0 := ?, gstore := ?, jro := ?, fi0 := ?, fi := ?} else abort; if err ≠ ESUCCESS then debug#("gjournal: persistence format failed"); jro1 := ∅⟫ ( err = ESUCCESS → jvalid ∧ jro1 < ROOT_INO + 1 ∧ p_os < pmaxino ∧ pmaxino ≤ ROOT_INO + 1 ∧ fi0.inos < ROOT_INO + 1 ∧ fi.inos < pmaxino ∧ ROOT_INO + 1 ≠ 0 ∧ pmaxino ≠ 0 ∧ (true ∧ nx ≠ [] → valid-journal-head(nx, gstore0, jro)) ∧ fi0.lebs ⊆ dom gstore0 ∧ fi.lebs ⊆ dom gstore ∧ refsize-cons(gstore0, range fi0) ∧ refsize-cons(gstore, range fi) ∧ inv(gstore0 \ jro) ∧ inv(gstore) ∧ elems nx ∩ jro = ∅ ∧ ¬ dups(nx) ∧ dom gstore ∪ elems nx = dom gstore0 ∪ jro ∧ remove-refsize0(gstore) = gstore ∧ ri-inj(fi0) ∧ ri-inj(fi))

Rule argument

pos: right 1

Additional information

Used simplifier rules: index_format# (VOLSIZE, SIZE, PMAXINO0 ; ; PRI, PFI, PINVAL, PSTORE, PSTORE0, PNL, PMAXINO, P_OS, ISYNCED, ERR ) {if SIZE = LEB_SIZE then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then PMAXINO := PMAXINO0, ISYNCED := true, P_OS := ∅, PNL := [], PSTORE := ∅, PSTORE0 := ∅, PINVAL := ∅, PRI := ∅, PFI := ∅ else PMAXINO := ?, ISYNCED := ?, P_OS := ?, PNL := ?, PSTORE := ?, PSTORE0 := ?, PINVAL := ?, PRI := ?, PFI := ?} else abort };