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Proof step 60 from proof prepost-read-orphans (previous step)

m4 + # lpt = # avol, avol[m5] = mapped(buf1), avol[m1] = mapped(buf3), avol[0] = mapped(buf2), m2 = # orphans0, m1 < # avol, LEB_SIZE < m2 * ENCODED_NAT_SIZE, disk-layout(mksb(adr, m6, m5, m1, m2, m3, m4), # lpt), ebm-vol-inv(avol), is-encoded(mksb(adr, m6, m5, m1, m2, m3, m4), buf2), is-encoded(lpt, lebs(avol, m3, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf1), mapped-full?(avol, m3, lptlebs(# lpt, LEB_SIZE)), logoff ≠ LEB_SIZE → # buf1 = logoff, ∃ buf0, buf1. is-aligned(# buf3, EB_PAGE_SIZE) ∧ buf3 = buf0 + buf1 ∧ is-encoded(orphans0, buf0) ⊦ m2 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 61:
m4 + # lpt = # avol, avol[m5] = mapped(buf1), avol[m1] = mapped(buf0 + buf), avol[0] = mapped(buf2), m1 < # avol, LEB_SIZE < # orphans0 * ENCODED_NAT_SIZE, disk-layout(mksb(adr, m6, m5, m1, # orphans0, m3, m4), # lpt), ebm-vol-inv(avol), is-aligned(# buf0 + # buf, EB_PAGE_SIZE), is-encoded(mksb(adr, m6, m5, m1, # orphans0, m3, m4), buf2), is-encoded(lpt, lebs(avol, m3, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf1), is-encoded(orphans0, buf0), mapped-full?(avol, m3, lptlebs(# lpt, LEB_SIZE)), logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ # orphans0 = 0, orphans0 = ∅

Rule argument

Additional information

Used simplifier rules: size-zero-01: ⊦ ns ≠ ∅ → # ns ≠ 0; (forward) from specification set-basic[nat-set]%mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult% ⊦ ENCODED_NAT_SIZE ≠ 0; (s)% ⊦ m ≠ 0 → (m * n = 0 ↔ n = 0); (s)%size-zero: ⊦ # ns ≠ 0 → ns ≠ ∅; (forward) from specification set-basic[nat-set]%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ #(buf + buf0) = # buf + # buf0; (s)