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Proof step 151 from proof recovery (previous step)

# apebs0 = # wlar0, # wlar = # wlar0, apebs0[vols0[v][m].pnum] = mkpeb(aehdr, avhdr, buf, m0, boolvar), m < # vols0[v], abs(avols0, apebs0, vols, q), bflipset-cons(bflipset, wlar), bflipset-cons(bflipset0, wlar0), ebm-cons(avols0), is-max(apebs0, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar, vols, vtblpnum), valid-ebatbl(apebs0, wlar0, vols0, vtblpnum3), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs0, q), valid-eraseq(q0), valid-eraseq(wlar0, q0), valid-eraseq(apebs0, q0), valid-global-sqn(apebs0, vtblpnum0), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs0, vols, wlar, vtblpnum), valid-vtbl(apebs0, vols0, wlar0, vtblpnum3), valid-wl(apebs0, wlar), valid-wl(apebs0, wlar0), v ∈ vols0, # vols0[v] ≤ # vols0[v], q0.lebrefs ⊆ q.lebrefs, vols ⊆ vols0, vols0⌈vols, q⌉ ⊦ VTBL_VOLID ∈ vols0, VTBL_VOLID ∈ vols, ( vols0[v][m] = unmapped → ¬ (vols0[v][m] = unmapped ⊃ (v × m ∈ q0.lebrefs ⊃ unmapped;erased) ;mapped(apebs0[vols0[v][m].pnum].data, (avols0[v][m].mapped? ⊃ avols0[v][m].fill;apebs0[vols0[v][m].pnum].fill)) ) .mapped?) ∧ ( vols0[v][m] ≠ unmapped → (vols0[v][m] = unmapped ⊃ (v × m ∈ q0.lebrefs ⊃ unmapped;erased) ;mapped(apebs0[vols0[v][m].pnum].data, (avols0[v][m].mapped? ⊃ avols0[v][m].fill;apebs0[vols0[v][m].pnum].fill)) ) .mapped? ∧ (vols0[v][m] = unmapped ⊃ (v × m ∈ q0.lebrefs ⊃ unmapped;erased) ;mapped(apebs0[vols0[v][m].pnum].data, (avols0[v][m].mapped? ⊃ avols0[v][m].fill;apebs0[vols0[v][m].pnum].fill)) ) .data = buf ∧ m0 ≤ (vols0[v][m] = unmapped ⊃ (v × m ∈ q0.lebrefs ⊃ unmapped;erased) ;mapped(apebs0[vols0[v][m].pnum].data, (avols0[v][m].mapped? ⊃ avols0[v][m].fill;apebs0[vols0[v][m].pnum].fill)) ) .fill) ∧ ( (vols0[v][m] = unmapped ⊃ (v × m ∈ q0.lebrefs ⊃ unmapped;erased) ;mapped(apebs0[vols0[v][m].pnum].data, (avols0[v][m].mapped? ⊃ avols0[v][m].fill;apebs0[vols0[v][m].pnum].fill)) ) = erased → ¬ v × m ∈ q0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 152:
# apebs0 = # wlar0, # wlar = # wlar0, apebs0[vols0[v][m].pnum] = mkpeb(aehdr, avhdr, buf, m0, boolvar), m < # vols0[v], abs(avols0, apebs0, vols, q), bflipset-cons(bflipset, wlar), bflipset-cons(bflipset0, wlar0), ebm-cons(avols0), is-max(apebs0, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar, vols, vtblpnum), valid-ebatbl(apebs0, wlar0, vols0, vtblpnum3), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs0, q), valid-eraseq(q0), valid-eraseq(wlar0, q0), valid-eraseq(apebs0, q0), valid-global-sqn(apebs0, vtblpnum0), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs0, vols, wlar, vtblpnum), valid-vtbl(apebs0, vols0, wlar0, vtblpnum3), valid-wl(apebs0, wlar), valid-wl(apebs0, wlar0), v ∈ vols0, q0.lebrefs ⊆ q.lebrefs, vols ⊆ vols0, vols0⌈vols, q⌉ ⊦ VTBL_VOLID ∈ vols0, VTBL_VOLID ∈ vols, (vols0[v][m] = unmapped → ¬ (v × m ∈ q0 ⊃ unmapped;erased).mapped?) ∧ (vols0[v][m] ≠ unmapped → m0 ≤ (avols0[v][m].mapped? ⊃ avols0[v][m].fill;m0))

Rule argument

Additional information

Used simplifier rules: ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).fill = m; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).data = buf; (s)% ⊦ erased ≠ mapped(buf, m); (s)% ⊦ unmapped ≠ erased; (s)% ⊦ mapped(buf, m).fill = m; (s)% ⊦ mapped(buf, m).data = buf; (s)% ⊦ mapped(buf, m).mapped?; (s)% ⊦ none ≠ v × m; (s)% ⊦ lref ∈ q0.lebrefs ↔ lref ∈ q0 ∧ lref ≠ none; (s)% ⊦ m ≤ m; (s)