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Proof step 5 from proof inv-erase-all (previous step)

# apebs = # wlar, apebs0 = apebs, err = ESUCCESS, q0 = q, bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum), valid-wl(apebs, wlar) ⊦ ⟪while err = ESUCCESS ∧ q ≠ [] do {/* (inv-erase-all : invariant ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum, sqnum) ∧ ubi-io-inv(apebs) ∧ id(apebs, apebs`, mapped-pebs(vols)) ∧ q ⊆ q` ∧ (err = ESUCCESS ∨ ⌊err⌋ ) wfbound (err = ESUCCESS ⊃ # q;0)) */; ubi_erase_worker_helper#(q.head.pnum; wlar, apebs; err); if err = ESUCCESS then q := q.tail}⟫ ( # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum) ∧ ubi-io-inv(apebs) ∧ id(apebs, apebs0, mapped-pebs(vols)) ∧ q ⊆ q0 ∧ (err = ESUCCESS → q = []) ∧ (err = ESUCCESS ∨ ⌊err⌋ )), vtblpnum ∈ q, VTBL_VOLID ∈ vols

Heuristic annotation applied rule annotation right

And obtained the following new goals

Proof step 6:
# apebs1 = # wlar0, apebs0 = apebs1, err = err0, err = ESUCCESS, err1 = ESUCCESS, q = q1, q0 = q2, bflipset-cons(bflipset, wlar0), id(apebs, apebs1, mapped-pebs(vols)), ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum, sqnum), ubi-io-inv(apebs1), ubi-io-inv(apebs), unique-sqns(apebs1), valid-ebatbl(apebs1, wlar0, vols, vtblpnum), valid-eraseq(apebs1, q2), valid-eraseq(wlar0, q2), valid-eraseq(q2), valid-global-sqn(apebs1, sqnum), valid-vtbl(apebs1, vols, wlar0, vtblpnum), valid-wl(apebs1, wlar0), q ⊆ q2, err = ESUCCESS ∨ ⌊err⌋ ⊦ ⟪ubi_erase_worker_helper#(q.head.pnum; wlar, apebs; err); if err = ESUCCESS then q := q.tail⟫ ( ( ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum, sqnum) ∧ ubi-io-inv(apebs) ∧ id(apebs, apebs1, mapped-pebs(vols)) ∧ q ⊆ q2 ∧ (err = ESUCCESS ∨ ⌊err⌋ )) ∧ (err = ESUCCESS ⊃ # q;0) < (err0 = ESUCCESS ⊃ # q1;0)), q = [], VTBL_VOLID ∈ vols, vtblpnum ∈ q2

Rule argument

rule: invariant right arg: bound: (err = ESUCCESS ⊃ # q;0) inv: ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum, sqnum) ∧ ubi-io-inv(apebs) ∧ id(apebs, apebs`, mapped-pebs(vols)) ∧ q ⊆ q` ∧ (err = ESUCCESS ∨ ⌊err⌋ ) fmapos: right 1 pos: right 1

Additional information

Used simplifier rules: ⊦ ubi-cons(apebs, vols, wlar, q, bflipset, n0, n1) ↔ # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, n1) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ valid-vtbl(apebs, vols, wlar, n0); (s)% ⊦ id(apebs, apebs, ns); (s)% ⊦ q ⊆ q; (s) Used formulas: ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum, sqnum) ∧ ubi-io-inv(apebs) ∧ id(apebs, apebs`, mapped-pebs(vols)) ∧ q ⊆ q` ∧ (err = ESUCCESS ∨ ⌊err⌋ ), (err = ESUCCESS ⊃ # q;0) = (err = ESUCCESS ⊃ # q;0)