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Proof step 29 from proof refine-add5 (previous step)

4 = # ax0, abs-log(nx0, gstore1 ↓) = abs-log(nx, gstore ↓) + adr1 ' + ax0, fs = nodes(gstore ↓, jro0), log = abs-log(nx, gstore ↓), nodes(gstore1 ↓, jro) = nodes(gstore ↓, jro0)[adr1, nd7][ax0, nd6 ' + nd1 ' + nd5 ' + nd4 '], remove-refsize0(gstore0) = gstore0, elems nx0 ∩ jro = ∅, (nx0.toSet \ nx.toSet) ∩ dom gstore = ∅, elems nx ∩ jro0 = ∅, dom gstore0 ∪ elems nx0 = dom gstore1 ∪ jro, dom gstore0 ∪ elems nx = dom gstore ∪ jro0, jmaxino1 ≠ 0, pmaxino ≠ 0, p_os.keys.inodes?, jro1.keys.inodes?, fi1.inos < pmaxino, ri.inos < jmaxino1, p_os < pmaxino, jro1 < jmaxino1, inv(gstore1 \ jro), inv(gstore0), inv(gstore \ jro0), log-cons(abs-log(nx, gstore ↓), nodes(gstore ↓, jro0)), new(ax0, nodes(gstore ↓, jro0)), node-cons(nd4.key, nd4), node-cons(nd5.key, nd5), node-cons(nd1.key, nd1), node-cons(nd6.key, nd6), node-cons(nd7.key, nd7), nodes-cons(adr1 ' + ax0, nd7 ' + nd6 ' + nd1 ' + nd5 ' + nd4 ', gstore1, jro), refsize-cons(gstore1, range ri), refsize-cons(gstore0, range fi1), refsize-cons(gstore, range ri), ri-cons(ri, nodes(gstore ↓, jro0)), ri-inj(fi1), ri-inj(ri), pmaxino ≤ jmaxino1, dom gstore ⊆ dom gstore1, fi1.lebs ⊆ dom gstore0, ri.lebs ⊆ dom gstore, ri.lebs ⊆ dom gstore1, ¬ dups(ax0), ¬ dups(nx0), ¬ dups(nx), ¬ adr1 ∈ ax0, ¬ adr1 ∈ nodes(gstore ↓, jro0), jvalid3 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro0), jvalid5 → jvalid4, jvalid0 ∧ nx0 ≠ [] → valid-journal-head(nx0, gstore1, jro) ⊦ ⟨fail#(; ; err); adr8 := ?, adr7 := ?, adr6 := ?, adr0 := ?, adr := ?; jvalid := ?⟩ ( abs-log(nx, gstore ↓) = abs-log(nx0, gstore1 ↓) ∧ nodes(gstore ↓, jro0) = nodes(gstore1 ↓, jro) ∧ (jvalid → jvalid1) ∧ adr1 = adr8 ∧ ax0[0] = adr7 ∧ ax0[1] = adr6 ∧ ax0[2] = adr0 ∧ ax0[3] = adr ∧ ESUCCESS = err), ⟨choose adr1, adr2, adr3, adr4, adr5 with new(adr1 ' + adr2 ' + adr3 ' + (adr4 ' + adr5), fs) ∧ ¬ dups(adr1 ' + adr2 ' + adr3 ' + adr4 ' + adr5 ') in {adr8 := adr1, adr7 := adr2, adr6 := adr3, adr0 := adr4, adr := adr5; fs := fs[adr8, nd7][adr7, nd6][adr6, nd1][adr0, nd5][adr, nd4], log := ((((log + adr8) + adr7) + adr6) + adr0) + adr, err := ESUCCESS} ifnone err := ENOSPC; jvalid := ?⟩ ( log = abs-log(nx0, gstore1 ↓) ∧ fs = nodes(gstore1 ↓, jro) ∧ (jvalid → jvalid1) ∧ adr1 = adr8 ∧ ax0[0] = adr7 ∧ ax0[1] = adr6 ∧ ax0[2] = adr0 ∧ ax0[3] = adr ∧ ESUCCESS = err)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 30:
4 = # ax0, abs-log(nx0, gstore1 ↓) = abs-log(nx, gstore ↓) + adr1 ' + ax0, fs = nodes(gstore ↓, jro0), log = abs-log(nx, gstore ↓), nodes(gstore1 ↓, jro) = nodes(gstore ↓, jro0)[adr1, nd7][ax0, nd6 ' + nd1 ' + nd5 ' + nd4 '], remove-refsize0(gstore0) = gstore0, elems nx ∩ jro0 = ∅, (nx0.toSet \ nx.toSet) ∩ dom gstore = ∅, elems nx0 ∩ jro = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ jro0, dom gstore0 ∪ elems nx0 = dom gstore1 ∪ jro, jro1.keys.inodes?, p_os.keys.inodes?, jro1 < jmaxino1, p_os < pmaxino, ri.inos < jmaxino1, fi1.inos < pmaxino, inv(gstore \ jro0), inv(gstore0), inv(gstore1 \ jro), log-cons(abs-log(nx, gstore ↓), nodes(gstore ↓, jro0)), new(ax0, nodes(gstore ↓, jro0)), node-cons(nd7.key, nd7), node-cons(nd6.key, nd6), node-cons(nd1.key, nd1), node-cons(nd5.key, nd5), node-cons(nd4.key, nd4), nodes-cons(adr1 ' + ax0, nd7 ' + nd6 ' + nd1 ' + nd5 ' + nd4 ', gstore1, jro), refsize-cons(gstore, range ri), refsize-cons(gstore0, range fi1), refsize-cons(gstore1, range ri), ri-cons(ri, nodes(gstore ↓, jro0)), ri-inj(ri), ri-inj(fi1), pmaxino ≤ jmaxino1, ri.lebs ⊆ dom gstore1, ri.lebs ⊆ dom gstore, fi1.lebs ⊆ dom gstore0, dom gstore ⊆ dom gstore1, jvalid0 ∧ nx0 ≠ [] → valid-journal-head(nx0, gstore1, jro), jvalid5 → jvalid4, jvalid3 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro0) ⊦ ⟨choose err0 with ⌊err0⌋ in err := err0; adr8 := ?, adr7 := ?, adr6 := ?, adr0 := ?, adr := ?; jvalid := ?⟩ ( abs-log(nx, gstore ↓) = abs-log(nx0, gstore1 ↓) ∧ nodes(gstore ↓, jro0) = nodes(gstore1 ↓, jro) ∧ (jvalid → jvalid1) ∧ adr1 = adr8 ∧ ax0[0] = adr7 ∧ ax0[1] = adr6 ∧ ax0[2] = adr0 ∧ ax0[3] = adr ∧ ESUCCESS = err), ⟨choose adr1, adr2, adr3, adr4, adr5 with new(adr1 ' + adr2 ' + adr3 ' + (adr4 ' + adr5), fs) ∧ ¬ dups(adr1 ' + adr2 ' + adr3 ' + adr4 ' + adr5 ') in {adr8 := adr1, adr7 := adr2, adr6 := adr3, adr0 := adr4, adr := adr5; fs := fs[adr8, nd7][adr7, nd6][adr6, nd1][adr0, nd5][adr, nd4], log := ((((log + adr8) + adr7) + adr6) + adr0) + adr, err := ESUCCESS} ifnone err := ENOSPC; jvalid := ?⟩ ( log = abs-log(nx0, gstore1 ↓) ∧ fs = nodes(gstore1 ↓, jro) ∧ (jvalid → jvalid1) ∧ adr1 = adr8 ∧ ax0[0] = adr7 ∧ ax0[1] = adr6 ∧ ax0[2] = adr0 ∧ ax0[3] = adr ∧ ESUCCESS = err), jmaxino1 = 0, pmaxino = 0, dups(ax0), dups(nx0), dups(nx), adr1 ∈ ax0, adr1 ∈ nodes(gstore ↓, jro0)

Rule argument

pos: right 1

Additional information

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