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Proof step 79 from proof refine-commit (previous step)

fi = fi1, fo = p_os.keys, fs = nodes(gstore2 ↓, jro3), log = abs-log(nx, gstore2 ↓), remove-refsize0(gstore1) = gstore1, dom remove-refsize0(gstore2) ∩ jro3 = ∅, elems nx ∩ jro3 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro3, jmaxino ≠ 0, pmaxino ≠ 0, jro1.keys.inodes?, p_os.keys.inodes?, jro1 < jmaxino, p_os < pmaxino, ri.inos < jmaxino, fi1.inos < pmaxino, inv(gstore2 \ jro3), inv(gstore1), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro3)), refsize-cons(gstore2, range ri), refsize-cons(gstore1, range fi1), ri-cons(ri, nodes(gstore2 ↓, jro3)), ri-inj(ri), ri-inj(fi1), pmaxino ≤ jmaxino, ri.lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1, ⌊err0⌋ , ¬ dups(nx), jvalid2 → jvalid0, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro3) ⊦ ⟨aubifs_core_commit#(ri, jro1.keys; fs, fi1, fo, log; jvalid2, err1)⟩ (p_os.keys = fo ∧ fi = fi1 ∧ log = abs-log(nx, gstore2 ↓) ∧ fs = nodes(gstore2 ↓, jro3) ∧ err0 = err1)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 80:
fi = fi1, fi0 = fi1, fo = p_os.keys, fs = nodes(gstore2 ↓, jro3), log = abs-log(nx, gstore2 ↓), remove-refsize0(gstore1) = gstore1, ro = jro1.keys, elems nx ∩ jro3 = ∅, dom remove-refsize0(gstore2) ∩ jro3 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro3, p_os.keys.inodes?, jro1.keys.inodes?, fi1.inos < pmaxino, ri.inos < jmaxino, p_os < pmaxino, jro1 < jmaxino, inv(gstore1), inv(gstore2 \ jro3), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro3)), refsize-cons(gstore1, range fi1), refsize-cons(gstore2, range ri), ri-cons(ri, nodes(gstore2 ↓, jro3)), ri-inj(fi1), ri-inj(ri), pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore1, ri.lebs ⊆ dom gstore2, ⌊err0⌋ , jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro3), jvalid2 → jvalid0 ⊦ ⟨if ri-cons(ri, fs) then { {choose as with as ∩ range ri = ∅ in fi := ri, fo := ro, fs := fs \ as, log := [], err := ESUCCESS; jvalid := true} or {fail#(; ; err); jvalid := ?}} else abort⟩ (p_os.keys = fo ∧ fi0 = fi ∧ log = abs-log(nx, gstore2 ↓) ∧ fs = nodes(gstore2 ↓, jro3) ∧ err0 = err), jmaxino = 0, pmaxino = 0, dups(nx)

Rule argument

pos: right 1

Additional information

Used simplifier rules: aubifs_core_commit#(RI, RO; FS, FI, FO, LOG; CSYNCED, ERR) {if ri-cons(RI, FS) then { {choose AS with AS ∩ range RI = ∅ in FI := RI, FO := RO, FS := FS \ AS, LOG := [], ERR := ESUCCESS; CSYNCED := true} or {fail#(; ; ERR); CSYNCED := ?}} else abort };