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Proof step 102 from proof inv-allocate (previous step)

gstore1 = gstore3, jro0 = jro, nx0 = nx, remove-refsize0(gstore2) = gstore2, elems nx ∩ jro = ∅, dom gstore2 ∪ elems nx = dom gstore3 ∪ jro, pmaxino ≠ 0, p_os < pmaxino, fi2.inos < jmaxino1, fi1.inos < pmaxino, inv(gstore3 \ jro), inv(gstore2), refsize-cons(gstore3, range fi2), refsize-cons(gstore2, range fi1), ri-inj(fi1), ri-inj(fi2), jmaxino ≤ LEB_SIZE, pmaxino ≤ jmaxino1, fi2.lebs ⊆ dom gstore3, fi1.lebs ⊆ dom gstore2, ¬ dups(nx), jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro) ⊦ [index_allocate_gnd#(fi2, fi1, gstore2, pmaxino, p_os, true; jro, gstore3, nx; err)] ( inv(gstore3 \ jro) ∧ elems nx ∩ jro = ∅ ∧ ¬ dups(nx) ∧ dom gstore2 ∪ elems nx = dom gstore3 ∪ jro → ⟪if err = ESUCCESS then jvalid1 := true⟫ ( (jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro)) ∧ fi2.lebs ⊆ dom gstore3 ∧ refsize-cons(gstore3, range fi2) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ dom gstore1 ⊆ dom gstore3 ∧ (nx.toSet \ nx0.toSet) ∩ dom gstore1 = ∅ ∧ abs-log(nx, gstore3 ↓) = abs-log(nx0, gstore1 ↓) ∧ nodes(gstore3 ↓, jro) = nodes(gstore1 ↓, jro0) ∧ (err = ESUCCESS → jvalid1 ∧ nx ≠ []))), nx ≠ [] ∧ jvalid1 ∧ jmaxino ≤ n, nx ≠ [] ∧ jvalid1

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 103:
jvalid ↔ true, fi = fi1, fi0 = fi2, gstore = gstore3, gstore0 = gstore2, gstore1 = gstore3, jro0 = jro, nx0 = nx, remove-refsize0(gstore2) = gstore2, elems nx ∩ jro = ∅, dom gstore2 ∪ elems nx = dom gstore3 ∪ jro, fi1.inos < pmaxino, fi2.inos < jmaxino1, p_os < pmaxino, inv(gstore2), inv(gstore3 \ jro), refsize-cons(gstore2, range fi1), refsize-cons(gstore3, range fi2), ri-inj(fi2), ri-inj(fi1), pmaxino ≤ jmaxino1, jmaxino ≤ LEB_SIZE, fi1.lebs ⊆ dom gstore2, fi2.lebs ⊆ dom gstore3, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro) ⊦ [if jvalid then {fail_or_success#(; ; err); if err = ESUCCESS then choose n with ¬ n ∈ gstore in gstore[n] := groupblock([], [], 0), nx := nx + n, jro := jro -- n} else abort] ( inv(gstore \ jro) ∧ elems nx ∩ jro = ∅ ∧ ¬ dups(nx) ∧ dom gstore2 ∪ elems nx = dom gstore ∪ jro → ⟪if err = ESUCCESS then jvalid1 := true⟫ ( (jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro)) ∧ fi2.lebs ⊆ dom gstore ∧ refsize-cons(gstore, range fi2) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ dom gstore1 ⊆ dom gstore ∧ (nx.toSet \ nx0.toSet) ∩ dom gstore1 = ∅ ∧ abs-log(nx, gstore ↓) = abs-log(nx0, gstore1 ↓) ∧ nodes(gstore ↓, jro) = nodes(gstore1 ↓, jro0) ∧ (err = ESUCCESS → jvalid1 ∧ nx ≠ []))), pmaxino = 0, dups(nx), nx ≠ [] ∧ jvalid1, nx ≠ [] ∧ jvalid1 ∧ jmaxino ≤ n

Rule argument

pos: right 1

Additional information

Used simplifier rules: index_allocate_gnd# (PRI, PFI, PSTORE0, PMAXINO, P_OS, ISYNCED; PINVAL, PSTORE, PNL; ERR) {if ISYNCED then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then choose N with ¬ N ∈ PSTORE in PSTORE[N] := groupblock([], [], 0), PNL := PNL + N, PINVAL := PINVAL -- N} else abort };