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Proof step 48 from proof inv-writepage (previous step)

# buf = VFS_PAGE_SIZE, ro.inodes?, fo.inodes?, file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, ro), replay-cons-strong(fs0, ri, ro, fi, fo, log0), ri-cons(ri, fs0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs0, ri, ro, fi, fo, log0), inodekey(m) ∈ ri ⊦ (¬ inodekey(m) ∈ ro ⊃ (ri ⊖ ro)[datakey(m, pageno), adr1];ri ⊖ ro) = ri[datakey(m, pageno), adr1] ⊖ ro, fs0[ri[inodekey(m)]].directory, adr1 ∈ fs0

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 49:
# buf = VFS_PAGE_SIZE, fo.inodes?, ro.inodes?, file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, ro), replay-cons-strong(fs0, ri, ro, fi, fo, log0), ri-cons(ri, fs0), ri-inj(fi), ri-inj(ri), ubifs-cons(fs0, ri, ro, fi, fo, log0), inodekey(m) ∈ ri ⊦ (¬ inodekey(m) ∈ ro ⊃ (ri ⊖ ro)[datakey(m, pageno), adr1];ri ⊖ ro) = ri[datakey(m, pageno), adr1] ⊖ ro, fs0[ri[inodekey(m)]].directory, adr1 ∈ fs0, inodekey(m) ∈ ro

Rule argument

fma: inodekey(m) ∈ ro

Additional information

Used simplifier rules: ⊦ inodekey(ino) ∈ ro → ri[datakey(ino, n), adr] ⊖ ro = ri ⊖ ro; (s) Used formulas: inodekey(m) ∈ ro