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Proof step 22 from proof refine-read (previous step)

# avol0 = # lpt + m6, LEB_SIZE = n3 + # buf1, avol0[m6 + m8] = mapped(buf1), avol0[m2] = mapped(buf4), avol0[m3] = mapped(buf3), avol0[0] = mapped(buf2), avol = subarray(avol0, m6, # lpt), buf = buf5, buf0 = buf5, m = m9, m0 = m7, m1 = m8, n = n1, n0 = n2, ns = orphans, plog = log, m8 < # lpt, disk-layout(mksb(adr, m9, m2, m3, m4, m5, m6), # lpt), ebm-vol-inv(avol0), ebm-vol-inv(subarray(avol0, m6, # lpt)), is-encoded(log, buf4), is-encoded(lpt, lebs(avol0, m5, lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr, m9, m2, m3, m4, m5, m6), buf2), is-encoded-pad(orphans, m4, buf3), mapped-full?(avol0, m5, lptlebs(# lpt, LEB_SIZE)), # buf1 ≤ LEB_SIZE, m6 ≤ # avol0, m7 + n1 ≤ LEB_SIZE, n2 + n1 ≤ # buf5, m7 + n1 ≤ # buf1 + n3, m6 + # lpt ≤ # avol0, logoff ≠ LEB_SIZE → # buf4 = logoff ⊦ ⟨if m1 < # avol ∧ avol[m1].mapped? ∧ n0 + n ≤ # buf0 ∧ m0 + n ≤ LEB_SIZE then {fail_or_success#(; ; err); if err = ESUCCESS then buf0 := copy(avol[m1].data + mkempbuf(LEB_SIZE - # avol[m1].data), m0, 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⟩ (copy(avol0[m6 + m8].data + mkempbuf(LEB_SIZE - # avol0[m6 + m8].data), m7, buf, n2, n1) = buf0 ∧ ESUCCESS = err)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
# avol0 = # lpt + m6, LEB_SIZE = n3 + # buf1, avol0[m6 + m8] = mapped(buf1), avol0[m2] = mapped(buf4), avol0[m3] = mapped(buf3), avol0[0] = mapped(buf2), buf = buf5, m8 < # lpt, disk-layout(mksb(adr, m9, m2, m3, m4, m5, m6), # lpt), ebm-vol-inv(avol0), ebm-vol-inv(subarray(avol0, m6, # lpt)), is-encoded(log, buf4), is-encoded(lpt, lebs(avol0, m5, lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr, m9, m2, m3, m4, m5, m6), buf2), is-encoded-pad(orphans, m4, buf3), mapped-full?(avol0, m5, lptlebs(# lpt, LEB_SIZE)), # buf1 ≤ LEB_SIZE, m6 ≤ # avol0, n2 + n1 ≤ # buf5, m7 + n1 ≤ LEB_SIZE, logoff ≠ LEB_SIZE → # buf4 = logoff ⊦ ⟨if subarray(avol0, m6, # lpt)[m8].mapped? then {fail_or_success#(; ; err); if err = ESUCCESS then buf5 := copy(subarray(avol0, m6, # lpt)[m8].data + mkempbuf(LEB_SIZE - # subarray(avol0, m6, # lpt)[m8].data), m7, buf5, n2, n1) else {n0 := n2; n := n1; choose buf with # buf = # buf5 ∧ range=(buf5, 0, buf, 0, n0) ∧ range=(buf5, n0 + n, buf, n0 + n, # buf5 - n0 + n) in buf5 := buf}} else abort⟩ (copy(avol0[m6 + m8].data + mkempbuf(LEB_SIZE - # avol0[m6 + m8].data), m7, buf, n2, n1) = buf5 ∧ ESUCCESS = err)

Rule argument

Additional information

Used simplifier rules: ⊦ m ≤ m; (s)%let: ⊦ n ≤ n0 ∧ n0 ≤ n1 → n ≤ n1; (forward) from specification nat%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ # subarray(avol, m, n) = n; (s)