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Proof step 35 from proof refine-read (previous step)

# avol0 = # lpt + m6, LEB_SIZE = n3 + # buf0, avol0[m2] = mapped(buf4), avol0[m3] = mapped(buf3), avol0[0] = mapped(buf2), avol0[m6 + m8] = mapped(buf0), buf1 = buf5, err = ESUCCESS, subarray(avol0, m6, # lpt)[m8].mapped?, m8 < # subarray(avol0, m6, # lpt), 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)), m7 + n1 ≤ #(subarray(avol0, m6, # lpt)[m8].data + mkempbuf(LEB_SIZE - # subarray(avol0, m6, # lpt)[m8].data)), m6 + # lpt ≤ # avol0, # buf0 ≤ LEB_SIZE, m6 ≤ # avol0, n2 + n1 ≤ # buf5, m7 + n1 ≤ LEB_SIZE, LEB_SIZE ≥ # subarray(avol0, m6, # lpt)[m8].data, logoff ≠ LEB_SIZE → # buf4 = logoff ⊦ copy(avol0[m6 + m8].data + mkempbuf(n3), m7, buf1, n2, n1) = copy(subarray(avol0, m6, # lpt)[m8].data + mkempbuf(LEB_SIZE - # subarray(avol0, m6, # lpt)[m8].data), m7, buf5, n2, n1) ∧ ESUCCESS = err

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 36:
# avol0 = # lpt + m6, LEB_SIZE = n3 + # buf0, avol0[0] = mapped(buf2), avol0[m3] = mapped(buf3), avol0[m2] = mapped(buf4), avol0[m6 + m8] = mapped(buf0), m8 < # lpt, disk-layout(mksb(adr, m9, m2, m3, m4, m5, m6), # lpt), ebm-vol-inv(subarray(avol0, m6, # lpt)), ebm-vol-inv(avol0), is-encoded(mksb(adr, m9, m2, m3, m4, m5, m6), buf2), is-encoded(lpt, lebs(avol0, m5, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf4), is-encoded-pad(orphans, m4, buf3), mapped-full?(avol0, m5, lptlebs(# lpt, LEB_SIZE)), m7 + n1 ≤ LEB_SIZE, n2 + n1 ≤ # buf5, m6 ≤ # avol0, # buf0 ≤ LEB_SIZE, m7 + n1 ≤ # buf0 + (LEB_SIZE - # buf0), logoff ≠ LEB_SIZE → # buf4 = logoff ⊦ copy(buf0 + mkempbuf(n3), m7, buf5, n2, n1) = copy(buf0 + mkempbuf(LEB_SIZE - # buf0), m7, buf5, n2, n1)

Rule argument

Additional information

Used simplifier rules: ⊦ m ≤ m; (s)% ⊦ mapped(buf).data = buf; (s)% ⊦ mapped(buf) = mapped(buf0) ↔ buf = buf0; (s)%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)% ⊦ # subarray(avol, m, n) = n; (s)%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ # mkempbuf(n) = n; (s)% ⊦ #(buf + buf0) = # buf + # buf0; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)% ⊦ n0 < n → subarray(avol, m, n)[n0] = avol[m + n0]; (s)