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Proof step 9 from proof inv-read (previous step)

m6 + # lpt = # avol, avol[0] = mapped(buf1), avol[m3] = mapped(buf2), avol[m2] = mapped(buf3), avol[m6 + m8] = mapped(buf4), buf0 = buf, m = m7, m0 = m6 + m8, n = n1, n0 = n2, m8 < # lpt, disk-layout(mksb(adr, m1, m2, m3, m4, m5, m6), # lpt), ebm-vol-inv(avol), is-encoded(log, buf3), is-encoded(lpt, lebs(avol, m5, lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr, m1, m2, m3, m4, m5, m6), buf1), is-encoded-pad(orphans, m4, buf2), mapped-full?(avol, m5, lptlebs(# lpt, LEB_SIZE)), n2 + n1 ≤ # buf, m7 + n1 ≤ LEB_SIZE, logoff ≠ LEB_SIZE → # buf3 = logoff ⊦ ⟪if m0 < # avol ∧ avol[m0].mapped? ∧ n0 + n ≤ # buf0 ∧ m + n ≤ LEB_SIZE then {fail_or_success#(; ; err); if err = ESUCCESS then buf0 := copy(avol[m0].data + mkempbuf(LEB_SIZE - # avol[m0].data), m, buf0, n0, n) else choose buf with # buf = # buf0 ∧ range=(buf0, 0, buf, 0, n0) ∧ range=(buf0, n0 + n, buf, n0 + n, # buf0 - n0 + n) in buf0 := buf} else abort⟫ true

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 10:
m6 + # lpt = # avol, avol[m6 + m8] = mapped(buf4), avol[m2] = mapped(buf3), avol[m3] = mapped(buf2), avol[0] = mapped(buf1), buf0 = buf, m = m7, m0 = m6 + m8, n = n1, n0 = n2, m8 < # lpt, disk-layout(mksb(adr, m1, m2, m3, m4, m5, m6), # lpt), ebm-vol-inv(avol), is-encoded(mksb(adr, m1, m2, m3, m4, m5, m6), buf1), is-encoded(lpt, lebs(avol, m5, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf3), is-encoded-pad(orphans, m4, buf2), mapped-full?(avol, m5, lptlebs(# lpt, LEB_SIZE)), m7 + n1 ≤ LEB_SIZE, n2 + n1 ≤ # buf, logoff ≠ LEB_SIZE → # buf3 = logoff ⊦ ⟪fail_or_success#(; ; err); if err = ESUCCESS then buf0 := copy(avol[m0].data + mkempbuf(LEB_SIZE - # avol[m0].data), m, buf0, n0, n) else choose buf with # buf = # buf0 ∧ range=(buf0, 0, buf, 0, n0) ∧ range=(buf0, n0 + n, buf, n0 + n, # buf0 - n0 + n) in buf0 := buf⟫ true

Rule argument

pos: right 1

Additional information

Used simplifier rules: a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m = m0 + n0 ∧ n < n0 → m0 + n < m; (s)% ⊦ mapped(buf).mapped?; (s)