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Proof step 9 from proof abs-nodes-unique-weak-h (previous step)

abs-nodes(buf, m, x1, lax1, true), # buf = 0 ∧ [] = [] ∨ (∃ buf0, buf1. buf = buf0 + buf1 ∧ abs-padding(buf0) ∧ abs-nodes(buf1, m + # buf0, [], [], true)) ∨ true ∧ abs-failed(buf) ∧ [] = [], ∀ buf0, m, x0, lax0, x1, lax1. # buf0 < # buf → abs-nodes(buf0, m, x0, lax0, true) ∧ abs-nodes(buf0, m, x1, lax1, true) → x0 = x1 ∧ lax0 = lax1 ⊦ [] = x1 ∧ [] = lax1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
abs-nodes(buf, m, x1, lax1, true), buf = mkbuf(0) ∨ buf = buf0 + buf1 ∧ abs-padding(buf0) ∧ abs-nodes(buf1, m + # buf0, [], [], true) ∨ abs-failed(buf), ∀ buf0, m, x0, lax0, x1, lax1. # buf0 < # buf → abs-nodes(buf0, m, x0, lax0, true) ∧ abs-nodes(buf0, m, x1, lax1, true) → x0 = x1 ∧ lax0 = lax1 ⊦ [] = x1 ∧ [] = lax1

Rule argument

Additional information

Used simplifier rules: ⊦ # buf = 0 ↔ buf = mkbuf(0); (s)