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Proof step 11 from proof inv-gc (previous step)

fo.inodes?, ro.inodes?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-cons(ri, fs), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, ro, fi, fo, log) ⊦ [aubifs_core_gc_copy#(; ri, fs, log); aubifs_core_gc_drop#(ri, log; fs); boolvar := ?] ( ri-inj(ri) ∧ log-cons(log, fs) ∧ ri-cons(ri, fs) → ubifs-cons(fs, ri, ro, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 12:
ro.inodes?, fo.inodes?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-cons(ri, fs), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, ro, fi, fo, log) ⊦ [choose kx, ax with ¬ dups(kx) ∧ ¬ dups(ax) ∧ new(ax, fs) ∧ kx.toSet ⊆ dom ri ∧ # kx = # ax ∧ ax.toSet ∩ log.toSet = ∅ in {fs[ax] := fs[ri[kx]], log := log + ax; ri[kx] := ax}; aubifs_core_gc_drop#(ri, log; fs); boolvar := ?] ( ri-inj(ri) ∧ log-cons(log, fs) ∧ ri-cons(ri, fs) → ubifs-cons(fs, ri, ro, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro))

Rule argument

pos: right 1

Additional information

Used simplifier rules: aubifs_core_gc_copy#(; RI, FS, LOG) {choose KX, AX with ¬ dups(KX) ∧ ¬ dups(AX) ∧ new(AX, FS) ∧ KX.toSet ⊆ dom RI ∧ # KX = # AX ∧ AX.toSet ∩ LOG.toSet = ∅ in {FS[AX] := FS[RI[KX]], LOG := LOG + AX; RI[KX] := AX} };