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Proof step 24 from proof refine-read (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 25:
# avol0 = # lpt + m6, LEB_SIZE = n3 + # buf1, avol0[m2] = mapped(buf4), avol0[m3] = mapped(buf3), avol0[0] = mapped(buf2), avol0[m6 + m8] = mapped(buf1), 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 ⊦ ⟨fail_or_success#(; ; err); buf1 := buf5; 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}⟩ (copy(avol0[m6 + m8].data + mkempbuf(LEB_SIZE - # avol0[m6 + m8].data), m7, buf1, n2, n1) = buf5 ∧ ESUCCESS = err)

Rule argument

Additional information

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