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Proof step 38 from proof refine-lookup (previous step)

jvalid0 ↔ jvalid4, jvalid ↔ jvalid3, ri[key] = @(m, m0, m1), gstore2[@(m, m0, m1)] = mkgnode(nd1, m2, boolvar, boolvar0), fi = fi1, fo = p_os.keys, fs = nodes(gstore2 ↓, jro0), log = abs-log(nx, gstore2 ↓), nd = nd0, remove-refsize0(gstore1) = gstore1, ro = jro1.keys, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, jro1.keys.inodes?, p_os.keys.inodes?, jro1 < jmaxino, p_os < pmaxino, ri.inos < jmaxino, fi1.inos < pmaxino, inv(gstore2 \ jro0), inv(gstore1), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro0)), refsize-cons(gstore2, range ri), refsize-cons(gstore1, range fi1), ri-cons(ri, nodes(gstore2 ↓, jro0)), ri-inj(ri), ri-inj(fi1), m ∈ gstore2, key ∈ ri, @(m, m0, m1) ∈ gstore2, pmaxino ≤ jmaxino, ri.lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1, jvalid4 → jvalid2, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0) ⊦ ⟨if ri-cons(ri, fs) then {fail_or_success#(; ; err); if err = ESUCCESS then {jvalid := key ∈ ri; if jvalid then nd := fs[ri[key]] else nd := ?} else jvalid := ?, nd := ?} else abort⟩ ((jvalid4 → jvalid2) ∧ jvalid ∧ nd1 = nd ∧ ESUCCESS = err), jmaxino = 0, pmaxino = 0, dups(nx), m ∈ jro0

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 39:
jvalid ↔ jvalid3, jvalid0 ↔ jvalid4, gstore2[@(m, m0, m1)] = mkgnode(nd1, m2, boolvar, boolvar0), ri[key] = @(m, m0, m1), fi = fi1, fo = p_os.keys, fs = nodes(gstore2 ↓, jro0), log = abs-log(nx, gstore2 ↓), nd = nd0, remove-refsize0(gstore1) = gstore1, ro = jro1.keys, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, p_os.keys.inodes?, jro1.keys.inodes?, fi1.inos < pmaxino, ri.inos < jmaxino, p_os < pmaxino, jro1 < jmaxino, inv(gstore1), inv(gstore2 \ jro0), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro0)), refsize-cons(gstore1, range fi1), refsize-cons(gstore2, range ri), ri-cons(ri, nodes(gstore2 ↓, jro0)), ri-inj(fi1), ri-inj(ri), @(m, m0, m1) ∈ gstore2, key ∈ ri, m ∈ gstore2, pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore1, ri.lebs ⊆ dom gstore2, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0), jvalid4 → jvalid2 ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then {jvalid := key ∈ ri; if jvalid then nd := fs[ri[key]] else nd := ?} else jvalid := ?, nd := ?⟩ ((jvalid4 → jvalid2) ∧ jvalid ∧ nd1 = nd ∧ ESUCCESS = err), jmaxino = 0, pmaxino = 0, dups(nx), m ∈ jro0

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ri-cons(ri, fs) → ( ri-cons(ri0, fs0) ↔ (∀ key. (key ∈ ri → ri[key] ∈ fs ∧ key-cons(key, fs[ri[key]])) → key ∈ ri0 → ri0[key] ∈ fs0 ∧ key-cons(key, fs0[ri0[key]]))); (ss)