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Proof step 35 from proof refine-add5 (previous step)

4 = # ax0, abs-log(nx0, gstore1 ↓) = abs-log(nx, gstore ↓) + adr9 ' + ax0, nodes(gstore1 ↓, jro) = nodes(gstore ↓, jro0)[adr9, 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(adr9 ' + 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), ¬ adr9 ∈ ax0, ¬ adr9 ∈ nodes(gstore ↓, jro0), jvalid3 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro0), jvalid5 → jvalid4, jvalid0 ∧ nx0 ≠ [] → valid-journal-head(nx0, gstore1, jro) ⊦ ( adr1 ∈ nodes(gstore ↓, jro0) ∨ adr2 ∈ nodes(gstore ↓, jro0) ∨ adr3 ∈ nodes(gstore ↓, jro0) ∨ adr4 ∈ nodes(gstore ↓, jro0) ∨ adr5 ∈ nodes(gstore ↓, jro0) ∨ adr1 = adr2 ∨ adr1 = adr3 ∨ adr1 = adr4 ∨ adr1 = adr5 ∨ adr2 = adr3 ∨ adr2 = adr4 ∨ adr2 = adr5 ∨ adr3 = adr4 ∨ adr3 = adr5 ∨ adr4 = adr5) ∧ ⟨err := ENOSPC; jvalid := ?⟩ ( abs-log(nx, gstore ↓) = abs-log(nx0, gstore1 ↓) ∧ nodes(gstore ↓, jro0) = nodes(gstore1 ↓, jro) ∧ (jvalid → jvalid1) ∧ adr9 = adr8 ∧ ax0[0] = adr7 ∧ ax0[1] = adr6 ∧ ax0[2] = adr0 ∧ ax0[3] = adr ∧ ESUCCESS = err), ∃ adr10, adr11, adr12, adr13, adr14. ¬ adr10 ∈ nodes(gstore ↓, jro0) ∧ ¬ adr11 ∈ nodes(gstore ↓, jro0) ∧ ¬ adr12 ∈ nodes(gstore ↓, jro0) ∧ ¬ adr13 ∈ nodes(gstore ↓, jro0) ∧ ¬ adr14 ∈ nodes(gstore ↓, jro0) ∧ adr10 ≠ adr11 ∧ adr10 ≠ adr12 ∧ adr10 ≠ adr13 ∧ adr10 ≠ adr14 ∧ adr11 ≠ adr12 ∧ adr11 ≠ adr13 ∧ adr11 ≠ adr14 ∧ adr12 ≠ adr13 ∧ adr12 ≠ adr14 ∧ adr13 ≠ adr14 ∧ ⟨adr8 := adr10, adr7 := adr11, adr6 := adr12, adr0 := adr13, adr := adr14; fs := nodes(gstore ↓, jro0)[adr8, nd7][adr7, nd6][adr6, nd1][adr0, nd5][adr, nd4], log := ((((abs-log(nx, gstore ↓) + adr8 ') + adr7 ') + adr6 ') + adr0 ') + adr ', err := ESUCCESS; jvalid := ?⟩ ( log = abs-log(nx0, gstore1 ↓) ∧ fs = nodes(gstore1 ↓, jro) ∧ (jvalid → jvalid1) ∧ adr9 = adr8 ∧ ax0[0] = adr7 ∧ ax0[1] = adr6 ∧ ax0[2] = adr0 ∧ ax0[3] = adr ∧ ESUCCESS = err)

User applied rule weakening

And obtained the following new goals

Rule argument

poslist: right 1

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