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Proof step 63 from proof inv-recover (previous step)

m8 + # lpt0 = # avol1, avol1[m10] = mapped(buf1), avol1[m5] = mapped(buf0), avol1[0] = mapped(buf), 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), buf), is-encoded-pad(orphans0, m6, buf0), mapped-full?(avol1, m7, lptlebs(# lpt0, LEB_SIZE)), m8 ≤ # avol1, avol1 ⊆ avol2, m3 ≠ LEB_SIZE → # buf1 = m3 ⊦ ebm-vol-inv(avol2) ∧ mksb(adr0, m9, m10, m5, m6, m7, m8).log < # avol2 ∧ avol2[mksb(adr0, m9, m10, m5, m6, m7, m8).log].mapped? ∧ is-encoded(log0, avol2[mksb(adr0, m9, m10, m5, m6, m7, m8).log].data)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 64:
m8 + # lpt0 = # avol1, avol1[0] = mapped(buf), avol1[m5] = mapped(buf0), avol1[m10] = mapped(buf1), disk-layout(mksb(adr0, m9, m10, m5, m6, m7, m8), # lpt0), ebm-vol-inv(avol1), is-encoded(mksb(adr0, m9, m10, m5, m6, m7, m8), buf), is-encoded(log0, buf1), is-encoded(lpt0, lebs(avol1, m7, lptlebs(# lpt0, LEB_SIZE))), is-encoded-pad(orphans0, m6, buf0), mapped-full?(avol1, m7, lptlebs(# lpt0, LEB_SIZE)), m8 ≤ # avol1, # avol2 ≤ m10, avol1 ⊆ avol2, m3 ≠ LEB_SIZE → # buf1 = m3 ⊦

Rule argument

Additional information

Used simplifier rules: avol-down-size: ⊦ m = # avol0 ∧ avol0 ⊆ avol1 → (n = # avol1 ↔ n = m);%avol-down-mapped-eq: n < # avol0 ⊦ avol0 ⊆ avol1 ∧ avol0[n] = mapped(buf) ∧ ebm-vol-inv(avol0) → avol1[n] = mapped(buf);% ⊦ is-encoded(nx0, buf) → (is-encoded(nx1, buf) ↔ nx0 = nx1); (s)% ⊦ mapped(buf).data = buf; (s)% ⊦ mapped(buf).mapped?; (s)% ⊦ avol0 ⊆ avol1 → ¬ # avol0 < # avol1; (s)%let: ⊦ n ≤ n0 ∧ n0 ≤ n1 → n ≤ n1; (forward) from specification nat%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ mksb(adr, m, m0, m1, m2, m3, m4).log = m0; (s)% ⊦ avol1 ⊆ avol0 ∧ ebm-vol-inv(avol1) → ebm-vol-inv(avol0); (s)