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Proof step 3 from proof refine-add5 (previous step)

adr = adr0, adr1 = adr2, adr3 = adr4, adr5 = adr6, adr7 = adr8, fs = nodes(gstore ↓, jro0), log = abs-log(nx, gstore ↓), remove-refsize0(gstore0) = gstore0, elems nx ∩ jro0 = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ jro0, jmaxino ≠ 0, pmaxino ≠ 0, jro.keys.inodes?, p_os.keys.inodes?, jro < jmaxino, p_os < pmaxino, ri.inos < jmaxino, fi1.inos < pmaxino, inv(gstore \ jro0), inv(gstore0), log-cons(abs-log(nx, gstore ↓), nodes(gstore ↓, jro0)), node-cons(nd.key, nd), node-cons(nd0.key, nd0), node-cons(nd1.key, nd1), node-cons(nd2.key, nd2), node-cons(nd3.key, nd3), refsize-cons(gstore, range ri), refsize-cons(gstore0, range fi1), ri-cons(ri, nodes(gstore ↓, jro0)), ri-inj(ri), ri-inj(fi1), pmaxino ≤ jmaxino, ri.lebs ⊆ dom gstore, fi1.lebs ⊆ dom gstore0, ¬ dups(nx), jvalid → jvalid0, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro0) ⊦ ⟪gjournal_journal_add5# (nd, nd0, nd1, nd2, nd3, jvalid2, ri, fi1, gstore0, pmaxino, p_os; adr, adr1, adr3, adr5, adr7, jvalid1, jmaxino0, jro0, gstore, nx, jvalid0; err)⟫ ⟨aubifs_core_journal_add5#(nd, nd0, nd1, nd2, nd3, ri, fi1, jro.keys, p_os.keys; adr0, adr2, adr4, adr6, adr8, fs, log; jvalid, err0)⟩ ( log = abs-log(nx, gstore ↓) ∧ fs = nodes(gstore ↓, jro0) ∧ (jvalid → jvalid0) ∧ adr = adr0 ∧ adr1 = adr2 ∧ adr3 = adr4 ∧ adr5 = adr6 ∧ adr7 = adr8 ∧ err = err0)

User applied rule call right

And obtained the following new goals

Proof step 4:
jvalid1 ↔ jvalid2, jvalid0 ↔ jvalid3, jvalid ↔ jvalid4, adr = adr7, adr0 = adr5, adr1 = adr11, adr11 = adr4, adr12 = adr10, adr13 = adr9, adr2 = adr12, adr3 = adr13, adr5 = adr6, adr7 = adr8, fi = fi1, fi0 = ri, fs = nodes(gstore ↓, jro0), jmaxino = jmaxino0, jro = jro0, log = abs-log(nx, gstore ↓), nd = nd4, nd0 = nd5, nd2 = nd6, nd3 = nd7, remove-refsize0(gstore0) = gstore0, elems nx ∩ jro0 = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ jro0, p_os.keys.inodes?, jro1.keys.inodes?, fi1.inos < pmaxino, ri.inos < jmaxino1, p_os < pmaxino, jro1 < jmaxino1, inv(gstore0), inv(gstore \ jro0), log-cons(abs-log(nx, gstore ↓), 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), refsize-cons(gstore0, range fi1), refsize-cons(gstore, range ri), ri-cons(ri, nodes(gstore ↓, jro0)), ri-inj(fi1), ri-inj(ri), pmaxino ≤ jmaxino1, fi1.lebs ⊆ dom gstore0, ri.lebs ⊆ dom gstore, jvalid3 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro0), jvalid5 → jvalid4 ⊦ ⟪let ndx = nd3 + nd2 + nd1 + nd0 + nd ', ax = ? in {gjournal_journal_addn#(ndx, jvalid1, fi0, fi, gstore0, pmaxino, p_os; ax, jvalid0, jmaxino, jro, gstore, nx, jvalid; err); if err = ESUCCESS then {adr3 := ax[0]; adr2 := ax[1]; adr1 := ax[2]; adr0 := ax[3]; adr := ax[4]}}⟫ ⟨aubifs_core_journal_add5#(nd7, nd6, nd1, nd5, nd4, ri, fi1, jro1.keys, p_os.keys; adr9, adr10, adr4, adr6, adr8, fs, log; jvalid5, err0)⟩ ( log = abs-log(nx, gstore ↓) ∧ fs = nodes(gstore ↓, jro) ∧ (jvalid5 → jvalid) ∧ adr3 = adr9 ∧ adr2 = adr10 ∧ adr1 = adr4 ∧ adr0 = adr6 ∧ adr = adr8 ∧ err = err0), jmaxino1 = 0, pmaxino = 0, dups(nx)

Rule argument

pos: right 1

Additional information

Used simplifier rules: gjournal_journal_add5# (ND1, ND2, ND3, ND4, ND5, DOSYNC, PRI, PFI, PSTORE0, PMAXINO, P_OS ; ADR1, ADR2, ADR3, ADR4, ADR5, JVALID, SQNUM, PINVAL, PSTORE, PNL, ISYNCED ; ERR ) {let NDLIST = ND1 + ND2 + ND3 + ND4 + ND5 ', ADRLIST = ? in {gjournal_journal_addn# (NDLIST, DOSYNC, PRI, PFI, PSTORE0, PMAXINO, P_OS ; ADRLIST, JVALID, SQNUM, PINVAL, PSTORE, PNL, ISYNCED ; ERR); if ERR = ESUCCESS then {ADR1 := ADRLIST[0]; ADR2 := ADRLIST[1]; ADR3 := ADRLIST[2]; ADR4 := ADRLIST[3]; ADR5 := ADRLIST[4]}} };