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Proof step 18 from proof fsync-inode-others-unchanged (previous step)

icache0[m] = mkientry(boolvar0, inode0), asynced0, boolvar0, err = ESUCCESS, inode = mkinode(m, md, boolvar, m0, m1, m2), icache-cons(icache0, dirs, files0), m ∈ icache0 ⊦ [icache_get#(m, icache0; asynced0, inode, err); files := files0; if err = ESUCCESS ∧ asynced0 then afs_write_inode#(inode; err, dirs, files; asynced1); icache := icache0; if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache)}] (inode.ino = m ∧ (∀ ino. ino ≠ inode.ino ∧ ino ∈ files0 → ino ∈ files ∧ (files ⊕ icache)[ino] = (files0 ⊕ icache0)[ino]))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
icache0[m] = mkientry(true, inode0), asynced0, err = ESUCCESS, inode = mkinode(m, md, boolvar, m0, m1, m2), icache-cons(icache0, dirs, files0), m ∈ icache0 ⊦ [icache_get#(m, icache0; asynced0, inode, err); files := files0; if err = ESUCCESS ∧ asynced0 then afs_write_inode#(inode; err, dirs, files; asynced1); icache := icache0; if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache)}] (inode.ino = m ∧ (∀ ino. ino ≠ inode.ino ∧ ino ∈ files0 → ino ∈ files ∧ (files ⊕ icache)[ino] = (files0 ⊕ icache0)[ino]))

Proof step 18 from proof fsync-inode-others-unchanged (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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