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Proof step 123 from proof inv-recover (previous step)

m8 + # lpt0 = # avol1, avol1[m10] = mapped(buf1), avol1[m5] = mapped(buf0), avol1[0] = mapped(buf2), err = ESUCCESS, lpt = fill(mklparray(# lpt0), mklp(0, 0, LP_FREE, 0)), m10 < # avol2, disk-layout(mksb(adr0, m9, m10, m5, m6, m7, m8), # lpt0), ebm-vol-inv(avol1), is-encoded(lpt0, lebs(avol1, m7, lptlebs(# lpt0, LEB_SIZE))), is-encoded(log0, buf1), is-encoded(mksb(adr0, m9, m10, m5, m6, m7, m8), buf2), is-encoded-pad(orphans0, m6, buf0), mapped-full?(avol1, m7, lptlebs(# lpt0, LEB_SIZE)), m7 + lptlebs(# lpt0, LEB_SIZE) ≤ # avol1, m8 ≤ # avol1, avol1 ⊆ avol2, m3 ≠ LEB_SIZE → # buf1 = m3 ⊦ ⟪persistence_io_decode_lpt#(lebs(avol1, m7, lptlebs(# lpt0, LEB_SIZE)); lpt, err); if err ≠ ESUCCESS then debug#("persistence-io: reading LPT failed"); m0 := LEB_SIZE; sb := mksb(adr0, m9, m10, m5, m6, m7, m8); if err = ESUCCESS then {logoff := m0; adr := sb.indexaddr; m2 := sb.maxino}⟫ ( ( err = ESUCCESS → (∃ lpt1, log1, orphans1. disk-layout(sb, # lpt1) ∧ sb.main + # lpt1 = # avol1 ∧ is-encoded(sb, buf2) ∧ avol2[sb.orph].mapped? ∧ is-encoded-pad(orphans1, sb.orphsize, avol2[sb.orph].data) ∧ avol2[sb.log].mapped? ∧ (logoff ≠ LEB_SIZE → # avol2[sb.log].data = logoff) ∧ is-encoded(log1, avol2[sb.log].data) ∧ mapped-full?(avol2, sb.lpt, lptlebs(# lpt1, LEB_SIZE)) ∧ is-encoded(lpt1, lebs(avol2, sb.lpt, lptlebs(# lpt1, LEB_SIZE)))) ∧ m0 = LEB_SIZE) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → adr = adr0 ∧ m2 = m9 ∧ # lpt = # lpt0 ∧ is-encoded(lpt, lebs(avol2, m7, lptlebs(# lpt, LEB_SIZE))) ∧ lebs(avol2, m7, lptlebs(# lpt, LEB_SIZE)) = lebs(avol1, m7, lptlebs(# lpt, LEB_SIZE))))

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: prepost-decode-lpt seq: # buf = lptsize(# lpt, LEB_SIZE), buf0 = buf, lpt0 = lpt ⊦ ⟪persistence_io_decode_lpt#(buf; lpt, err)⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ # buf = # buf0 ∧ ( err = ESUCCESS → is-encoded(lpt, buf) ∧ # lpt = # lpt0)) subst: [buf, err, lpt, buf0, lpt0] → [lebs(avol1, m7, lptlebs(# lpt0, LEB_SIZE)), err, lpt, lebs(avol1, m7, lptlebs(# lpt0, LEB_SIZE)), lpt] flags: List([[1,0,0]])

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