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Proof step 89 from proof inv-allocate (previous step)

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(fi2), ri-inj(fi1), jmaxino ≤ LEB_SIZE, pmaxino ≤ jmaxino1, fi2.lebs ⊆ dom gstore3, fi1.lebs ⊆ dom gstore2, ¬ dups(nx), jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro) ⊦ ⟪fail_or_success#(; ; err); if err = ESUCCESS then jvalid := true else jvalid := ?; nx0 := nx; jro0 := jro; gstore1 := gstore3; if err = ESUCCESS then index_allocate_gnd#(fi2, fi1, gstore2, pmaxino, p_os, jvalid; jro, gstore3, nx; err); if err = ESUCCESS then jvalid1 := true⟫ ( (jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro)) ∧ fi2.lebs ⊆ dom gstore3 ∧ refsize-cons(gstore3, range fi2) ∧ inv(gstore3 \ jro) ∧ elems nx ∩ jro = ∅ ∧ ¬ dups(nx) ∧ dom gstore2 ∪ elems nx = dom gstore3 ∪ jro ∧ (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 unfold applied rule call right

And obtained the following new goals

Proof step 90:
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(fi1), ri-inj(fi2), pmaxino ≤ jmaxino1, jmaxino ≤ LEB_SIZE, fi1.lebs ⊆ dom gstore2, fi2.lebs ⊆ dom gstore3, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro) ⊦ ⟪choose err0 with ⌊err0⌋ ∨ err0 = ESUCCESS in err := err0; if err = ESUCCESS then jvalid := true else jvalid := ?; nx0 := nx; jro0 := jro; gstore1 := gstore3; if err = ESUCCESS then index_allocate_gnd#(fi2, fi1, gstore2, pmaxino, p_os, jvalid; jro, gstore3, nx; err); if err = ESUCCESS then jvalid1 := true⟫ ( (jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro)) ∧ fi2.lebs ⊆ dom gstore3 ∧ refsize-cons(gstore3, range fi2) ∧ inv(gstore3 \ jro) ∧ elems nx ∩ jro = ∅ ∧ ¬ dups(nx) ∧ dom gstore2 ∪ elems nx = dom gstore3 ∪ jro ∧ (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 ≠ [])), pmaxino = 0, dups(nx), nx ≠ [] ∧ jvalid1, nx ≠ [] ∧ jvalid1 ∧ jmaxino ≤ n

Rule argument

pos: right 1

Additional information

Used simplifier rules: fail_or_success#(; ; ERR) {choose ERR0 with ⌊ERR0⌋ ∨ ERR0 = ESUCCESS in ERR := ERR0};