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Proof step 19 from proof inv-lookup (previous step)

remove-refsize0(gstore1) = gstore1, elems nx ∩ jro = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro, pmaxino ≠ 0, p_os < pmaxino, fi2.inos < jmaxino, fi1.inos < pmaxino, inv(gstore2 \ jro), inv(gstore1), refsize-cons(gstore2, range fi2), refsize-cons(gstore1, range fi1), ri-cons(fi2, nodes(gstore2 ↓, jro)), ri-inj(fi2), ri-inj(fi1), key ∈ fi2, pmaxino ≤ jmaxino, fi2.lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1, ¬ dups(nx), jvalid2 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro) ⊦ ⟪index_read_gnd#(fi2[key], fi2, fi1, jro, gstore2, gstore1, nx, pmaxino, p_os, jvalid0; gnd; err); if err = ESUCCESS then nd := gnd.nd⟫ true

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 20:
jvalid ↔ jvalid0, adr = fi2[key], fi = fi1, fi0 = fi2, gstore = gstore1, gstore0 = gstore2, remove-refsize0(gstore1) = gstore1, elems nx ∩ jro = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro, fi1.inos < pmaxino, fi2.inos < jmaxino, p_os < pmaxino, inv(gstore1), inv(gstore2 \ jro), refsize-cons(gstore1, range fi1), refsize-cons(gstore2, range fi2), ri-cons(fi2, nodes(gstore2 ↓, jro)), ri-inj(fi1), ri-inj(fi2), key ∈ fi2, pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore1, fi2.lebs ⊆ dom gstore2, jvalid2 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro) ⊦ ⟪if adr ∈ gstore0 ∧ ¬ adr.lnum ∈ jro then {fail_or_success#(; ; err); if err = ESUCCESS then gnd := gstore0[adr] else gnd := ?} else abort; if err = ESUCCESS then nd := gnd.nd⟫ true, pmaxino = 0, dups(nx)

Rule argument

pos: right 1

Additional information

Used simplifier rules: index_read_gnd# (ADR, PRI, PFI, PINVAL, PSTORE, PSTORE0, PNL, PMAXINO, P_OS, ISYNCED ; GND ; ERR ) {if ADR ∈ PSTORE ∧ ¬ ADR.lnum ∈ PINVAL then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then GND := PSTORE[ADR] else GND := ?} else abort };