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Proof step 131 from proof inv-recover (previous step)

m8 + # lpt0 = # avol1, m7 + lptlebs(# lpt0, LEB_SIZE) = # avol1, mksb(adr0, m9, m10, m5, m6, m7, m8).main = SB_LPT + 2 * lptlebs(# lpt0, LEB_SIZE), avol1[m10] = mapped(buf1), avol1[m5] = mapped(buf0), avol1[0] = mapped(buf2), m10 < # avol2, 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)), m8 ≤ # avol1, avol1 ⊆ avol2, m3 ≠ LEB_SIZE → # buf1 = m3, mksb(adr0, m9, m10, m5, m6, m7, m8).log = SB_LOG ∧ mksb(adr0, m9, m10, m5, m6, m7, m8).orph = SB_ORPH ∧ mksb(adr0, m9, m10, m5, m6, m7, m8).lpt = SB_LPT ∨ mksb(adr0, m9, m10, m5, m6, m7, m8).log = SB_LOG + 1 ∧ mksb(adr0, m9, m10, m5, m6, m7, m8).orph = SB_ORPH + 1 ∧ mksb(adr0, m9, m10, m5, m6, m7, m8).lpt = SB_LPT + lptlebs(# lpt0, LEB_SIZE) ⊦ # lebs(avol1, m7, lptlebs(# lpt0, LEB_SIZE)) = lptsize(# lpt0, LEB_SIZE)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 132:
(5 + 2 * lptlebs(# lpt0, LEB_SIZE)) + # lpt0 = # avol1, m7 + lptlebs(# lpt0, LEB_SIZE) = # avol1, avol1[m10] = mapped(buf1), avol1[m5] = mapped(buf0), avol1[0] = mapped(buf2), m10 < # avol2, 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, 5 + 2 * lptlebs(# lpt0, LEB_SIZE)), buf2), is-encoded-pad(orphans0, m6, buf0), mapped-full?(avol1, m7, lptlebs(# lpt0, LEB_SIZE)), 5 + 2 * lptlebs(# lpt0, LEB_SIZE) ≤ # avol1, avol1 ⊆ avol2, m3 ≠ LEB_SIZE → # buf1 = m3, m10 = 1 ∧ m5 = 3 ∧ m7 = 5 ∨ m10 = 2 ∧ m5 = 4 ∧ m7 = 5 + lptlebs(# lpt0, LEB_SIZE) ⊦ # lebs(avol1, m7, lptlebs(# lpt0, LEB_SIZE)) = lptsize(# lpt0, LEB_SIZE)

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ mksb(adr, m, m0, m1, m2, m3, m4).lpt = m3; (s)% ⊦ SB_ORPH = 3; (s)% ⊦ mksb(adr, m, m0, m1, m2, m3, m4).orph = m1; (s)% ⊦ SB_LOG = 1; (s)% ⊦ mksb(adr, m, m0, m1, m2, m3, m4).log = m0; (s)% ⊦ SB_LPT = 5; (s)% ⊦ mksb(adr, m, m0, m1, m2, m3, m4).main = m4; (s)