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Proof step 7 from proof abs-node-abs-failed (previous step)

# buf2 = nd.alignedsize, # buf3 = NODE_HEADER_SIZE, # buf = NODE_HEADER_SIZE, buf + (buf2 + validtrailer) + buf1 = buf3 + buf4, is-aligned(# buf1, NODE_HEADER_SIZE), is-encoded(nodeheader(node-size-headerless(nd), false), buf), is-encoded(nd, subarray(buf2, 0, node-size-headerless(nd))), is-garbage-header(buf3) ∨ is-encoded(nodeheader(m, boolvar), buf3) ∧ # buf4 ≤ align↑(m, 2 * NODE_HEADER_SIZE) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ # buf = # buf0 → (buf + buf1 = buf0 + buf2 ↔ buf = buf0 ∧ buf1 = buf2)
Proof step 9:
# buf = NODE_HEADER_SIZE, # buf3 = NODE_HEADER_SIZE, # buf2 = nd.alignedsize, # buf = # buf3, (buf2 + validtrailer) + buf1 = buf4, buf = buf3, is-aligned(# buf1, NODE_HEADER_SIZE), is-encoded(nd, subarray(buf2, 0, node-size-headerless(nd))), is-encoded(nodeheader(node-size-headerless(nd), false), buf), is-garbage-header(buf3) ∨ is-encoded(nodeheader(m, boolvar), buf3) ∧ # buf4 ≤ align↑(m, 2 * NODE_HEADER_SIZE) ⊦

Rule argument

spec: array-splice, inst: buffer name: append-inj seq: ⊦ # buf = # buf0 → (buf + buf1 = buf0 + buf2 ↔ buf = buf0 ∧ buf1 = buf2) subst: [buf2, buf0, buf1, buf] → [buf4, buf3, (buf2 + validtrailer) + buf1, buf] flags: <all paths>

Additional information

Used terms: buf4, buf3, (buf2 + validtrailer) + buf1, buf