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Proof step 2 from proof disk-layout-avol-neq-1 (previous step)

# avol = 1, # avol = sb.main + mainareasize, disk-layout(sb, mainareasize) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
# avol = 1, sb.main = 5 + 2 * lptlebs(mainareasize, LEB_SIZE), 1 = sb.main + mainareasize, sb.log = 1 ∧ sb.orph = 3 ∧ sb.lpt = 5 ∨ sb.log = 2 ∧ sb.orph = 4 ∧ sb.lpt = 5 + lptlebs(mainareasize, LEB_SIZE) ⊦

Rule argument

Additional information

Used simplifier rules: disk-layout: ⊦ disk-layout(sb, mainareasize) ↔ ( sb.log = SB_LOG ∧ sb.orph = SB_ORPH ∧ sb.lpt = SB_LPT ∨ sb.log = SB_LOG + 1 ∧ sb.orph = SB_ORPH + 1 ∧ sb.lpt = SB_LPT + lptlebs(mainareasize, LEB_SIZE)) ∧ sb.main = SB_LPT + 2 * lptlebs(mainareasize, LEB_SIZE);%sb-log: ⊦ SB_LOG = 1;%sb-orph: ⊦ SB_ORPH = 3;%sb-lpt: ⊦ SB_LPT = 5;%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic