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Proof step 21 from proof abs-nodes-add-crash-aligned (previous step)

# buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE, abs-node(buf1, a), abs-nodes(buf0, 0, x, lax, false), is-aligned(# buf0 + # buf1, EB_PAGE_SIZE) ⊦ ∃ buf3, buf2. buf1 = buf3 + buf2 ∧ ( abs-padding(buf3) ∧ abs-nodes(buf2, # buf0 + # buf3, a ' + [], @(# buf0, # buf1) ', boolvar) ∨ @(# buf0, # buf1) ' ≠ [] ∧ @(# buf0, # buf1) '.head.off = # buf0 ∧ @(# buf0, # buf1) '.head.size = # buf3 ∧ abs-node(buf3, a) ∧ abs-nodes(buf2, # buf0 + # buf3, [], @(# buf0, # buf1) '.tail, boolvar))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
# buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE, abs-node(buf1, a), abs-nodes(buf0, 0, x, lax, false), is-aligned(# buf0 + # buf1, EB_PAGE_SIZE) ⊦ ∃ buf, buf2. buf1 = buf + buf2 ∧ ( abs-padding(buf) ∧ abs-nodes(buf2, # buf0 + # buf, a ', @(# buf0, # buf + # buf2) ', boolvar) ∨ buf2 = mkbuf(0) ∧ abs-node(buf, a))

Rule argument

Additional information

Used simplifier rules: abs-nodes-mkbuf0-empty-h: ⊦ abs-nodes(mkbuf(0), m, x, lax, weak) ↔ x = [] ∧ lax = [];% ⊦ ladr '.tail = []; (s)% ⊦ buf + mkbuf(0) = buf; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ # buf = 0 ↔ buf = mkbuf(0); (s)% ⊦ m = m + n ↔ n = 0; (s)% ⊦ @(m, m0).size = m0; (s)% ⊦ @(m, m0).off = m; (s)% ⊦ ladr '.head = ladr; (s)% ⊦ ladr ' ≠ []; (s)%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ #(buf + buf0) = # buf + # buf0; (s)%a: ⊦ (x + y) + z = x + y + z; from specification list% ⊦ x + [] = x; (s)