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Proof step 22 from proof abs-nodes-prefix-h (previous step)

# buf2 = nd.alignedsize + 2 * NODE_HEADER_SIZE, abs-node(buf2, nd), abs-nodes(buf, m + # buf2, x, lax2, boolvar0), #((buf2 + buf) + buf1) = 0 ∧ [] = [] ∨ (∃ buf0, buf3. (buf2 + buf) + buf1 = buf0 + buf3 ∧ abs-padding(buf0) ∧ abs-nodes(buf3, m + # buf0, [], [], boolvar1)) ∨ boolvar1 ∧ abs-failed((buf2 + buf) + buf1) ∧ [] = [], ∀ buf3, buf1, m, x1, lax1, boolvar1, x0, lax0, boolvar0. # buf3 < #(buf2 + buf) → abs-nodes(buf3 + buf1, m, x1, lax1, boolvar1) ∧ abs-nodes(buf3, m, x0, lax0, boolvar0) → x0 ⊑ x1 ∧ lax0 ⊑ lax1 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
# buf2 = nd.alignedsize + 2 * NODE_HEADER_SIZE, abs-node(buf2, nd), abs-nodes(buf, m + # buf2, x, lax2, boolvar0), # buf2 + # buf + # buf1 = 0 ∨ (buf2 + buf) + buf1 = buf0 + buf3 ∧ abs-padding(buf0) ∧ abs-nodes(buf3, m + # buf0, [], [], boolvar1), ∀ buf3, buf1, m, x1, lax1, boolvar1, x0, lax0, boolvar0. # buf3 < #(buf2 + buf) → abs-nodes(buf3 + buf1, m, x1, lax1, boolvar1) ∧ abs-nodes(buf3, m, x0, lax0, boolvar0) → x0 ⊑ x1 ∧ lax0 ⊑ lax1 ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ abs-node(buf0, nd) → ¬ abs-failed(buf0 + buf1); (s)%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ #(buf + buf0) = # buf + # buf0; (s)