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Proof step 2 from proof fsync-err (previous step)

asynced1 ↔ bv, asynced0 ↔ bv0 ⊦ [if valid-file-inode(inode, dirs, files) then {err := ESUCCESS; if ¬ asynced0 then {cache_fsync-pages#(inode, dirs; err, files, pcache, asynced); if err = ESUCCESS ∧ ¬ asynced1 then cache_fsync-inode#(; inode, err, dirs, files, icache, asynced); if err = ESUCCESS then afs_fsync#(inode, asynced1, dirs, files; ; asynced, err)}} else abort] (err = ESUCCESS ∨ ⌊err⌋ )

Heuristic conditional right split applied rule if right

And obtained the following new goals

Proof step 3:
asynced0 ↔ bv0, asynced1 ↔ bv, valid-file-inode(inode, dirs, files) ⊦ [err := ESUCCESS; if ¬ asynced0 then {cache_fsync-pages#(inode, dirs; err, files, pcache, asynced); if err = ESUCCESS ∧ ¬ asynced1 then cache_fsync-inode#(; inode, err, dirs, files, icache, asynced); if err = ESUCCESS then afs_fsync#(inode, asynced1, dirs, files; ; asynced, err)}] (err = ESUCCESS ∨ ⌊err⌋ )
Proof step 52:
asynced0 ↔ bv0, asynced1 ↔ bv ⊦ [abort] (err = ESUCCESS ∨ ⌊err⌋ ), valid-file-inode(inode, dirs, files)

Rule argument

pos: right 1

Proof step 2 from proof fsync-err (previous step)

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

Additional information