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Proof step 270 from proof inv-commit (previous step)

# avol = # avol0, # lpt0 = # lpt, # lebs(avol, 5, lptlebs(# lpt, LEB_SIZE)) = lptsize(# lpt, LEB_SIZE), (5 + 2 * lptlebs(# lpt, LEB_SIZE)) + # lpt = # avol0, avol[0] = mapped(buf2), avol[1] = mapped(mkbuf(0)), avol[2] = mapped(buf1), avol[3] = mapped(buf), avol[4] = mapped(buf0), avol0[0] = mapped(buf2), avol0[4] = mapped(buf0), avol0[2] = mapped(buf1), err = ESUCCESS, sb0 = mksb(adr0, m2, 2, 4, m6, 5 + lptlebs(# lpt, LEB_SIZE), 5 + 2 * lptlebs(# lpt, LEB_SIZE)), 3 < # avol0, ebm-vol-inv(avol), ebm-vol-inv(avol0[1, mapped(mkbuf(0))]), ebm-vol-inv(avol0), ebm-vol-inv(avol0[1, mapped(mkbuf(0))][3, mapped(buf)]), ebm-vol-inv(avol2), is-encoded(lpt, lebs(avol, 5, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf1), is-encoded(lpt0, lebs(avol0, 5 + lptlebs(# lpt, LEB_SIZE), lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr0, m2, 2, 4, m6, 5 + lptlebs(# lpt, LEB_SIZE), 5 + 2 * lptlebs(# lpt, LEB_SIZE)), buf2), is-encoded-pad(orphans0, m6, buf0), is-encoded-pad(orphans, # orphans, buf), mapped-full?(avol, 5, lptlebs(# lpt, LEB_SIZE)), mapped-full?(avol0, 5 + lptlebs(# lpt, LEB_SIZE), lptlebs(# lpt, LEB_SIZE)), range=(avol, 5 + lptlebs(# lpt, LEB_SIZE), avol0, 5 + lptlebs(# lpt, LEB_SIZE), lptlebs(# lpt, LEB_SIZE) + # lpt), 5 ≤ # avol0, 5 + lptlebs(# lpt, LEB_SIZE) ≤ # avol0, 5 + 2 * lptlebs(# lpt, LEB_SIZE) ≤ # avol0, err = ESUCCESS → id○(avol2, avol, 0) ∧ is-encoded(mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)), buf3) ∧ avol2[0] = mapped(buf3), logoff ≠ LEB_SIZE → # buf1 = logoff, err ≠ ESUCCESS → avol2 = avol, err = ESUCCESS ∨ ⌊err⌋ ⊦ ⟪logoff := 0⟫ ( (∃ lpt1, log, orphans0. disk-layout(mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)), # lpt1) ∧ mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).main + # lpt1 = # avol2 ∧ avol2[0].mapped? ∧ is-encoded(mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)), avol2[0].data) ∧ avol2[mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).orph].mapped? ∧ is-encoded-pad (orphans0, mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).orphsize, avol2[mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).orph].data) ∧ avol2[mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).log].mapped? ∧ (logoff ≠ LEB_SIZE → # avol2[mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).log].data = logoff) ∧ is-encoded(log, avol2[mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).log].data) ∧ mapped-full?(avol2, mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).lpt, lptlebs(# lpt1, LEB_SIZE)) ∧ is-encoded (lpt1, lebs(avol2, mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).lpt, lptlebs(# lpt1, LEB_SIZE)))) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).indexaddr = adr ∧ mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).maxino = m3 ∧ avol2[mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).log].data = mkbuf(0) ∧ is-encoded (lpt, lebs (avol2, mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).lpt, lptlebs(# avol2 - mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).main, LEB_SIZE))) ∧ is-encoded-pad (orphans, mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).orphsize, avol2[mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).orph].data)) ∧ ( err ≠ ESUCCESS → mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)) = mksb (adr0, m2, 2, 4, m6, 5 + lptlebs(# lpt, LEB_SIZE), mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).main) ∧ avol2[2] = avol0[2] ∧ avol2[4] = avol0[4] ∧ lebs (avol2, 5 + lptlebs(# lpt, LEB_SIZE), lptlebs(# avol2 - mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).main, LEB_SIZE)) = lebs (avol0, 5 + lptlebs(# lpt, LEB_SIZE), lptlebs(# avol2 - mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).main, LEB_SIZE))) ∧ mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).main = 5 + 2 * lptlebs(# lpt, LEB_SIZE) ∧ # avol2 = # avol0 ∧ subarray (avol2, mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).main, # avol2 - mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).main) = subarray (avol0, mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).main, # avol2 - mksb(adr, m3, 1, 3, # orphans, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)).main))

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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