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Proof step 18 from proof encode (previous step)

# buf1 = n0 + ENCODED_NAT_SIZE, # buf = n0 + ENCODED_NAT_SIZE, subarray(buf1, ENCODED_NAT_SIZE, n0) = subarray(buf, ENCODED_NAT_SIZE, n0), is-encoded(# vtbl, subarray(buf1, 0, ENCODED_NAT_SIZE)), # vtbl * (ENCODED_NAT_SIZE + ENCODED_VOLID_SIZE) ≤ n0 ⊦ ∃ buf0, buf2, buf3, vtbl0. buf1 = buf0 + buf2 + buf3 ∧ vtbl = vtbl ∪ vtbl0 ∧ vtbl ⊥ vtbl0 ∧ # buf0 + # buf2 = ENCODED_NAT_SIZE ∧ # vtbl * (ENCODED_NAT_SIZE + ENCODED_VOLID_SIZE) ≤ # buf3 ∧ is-encoded(# vtbl, buf0) ∧ is-encoded-rec(vtbl0, buf2)

User applied rule exists right

And obtained the following new goals

Proof step 19:
# buf = n0 + ENCODED_NAT_SIZE, # buf1 = n0 + ENCODED_NAT_SIZE, subarray(buf1, ENCODED_NAT_SIZE, n0) = subarray(buf, ENCODED_NAT_SIZE, n0), is-encoded(# vtbl, subarray(buf1, 0, ENCODED_NAT_SIZE)), # vtbl * (ENCODED_NAT_SIZE + ENCODED_VOLID_SIZE) ≤ n0 ⊦ buf1 = subarray(buf1, 0, ENCODED_NAT_SIZE) + mkbuf(0) + subarray(buf1, ENCODED_NAT_SIZE, # buf1 - ENCODED_NAT_SIZE) ∧ vtbl = vtbl ∪ ∅ ∧ vtbl ⊥ ∅ ∧ # subarray(buf1, 0, ENCODED_NAT_SIZE) + # mkbuf(0) = ENCODED_NAT_SIZE ∧ # vtbl * (ENCODED_NAT_SIZE + ENCODED_VOLID_SIZE) ≤ # subarray(buf1, ENCODED_NAT_SIZE, # buf1 - ENCODED_NAT_SIZE) ∧ is-encoded(# vtbl, subarray(buf1, 0, ENCODED_NAT_SIZE)) ∧ is-encoded-rec(∅, mkbuf(0))

Rule argument

pos: right 1 terms: subarray(buf1, 0, ENCODED_NAT_SIZE), mkbuf(0), subarray(buf1, ENCODED_NAT_SIZE, # buf1 - ENCODED_NAT_SIZE), ∅ abort: F discard: T computed: F

Additional information

Used terms: subarray(buf1, 0, ENCODED_NAT_SIZE), mkbuf(0), subarray(buf1, ENCODED_NAT_SIZE, # buf1 - ENCODED_NAT_SIZE), ∅