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Proof step 20 from proof getbytearray-pseq-nojunk-02 (previous step)

st[r -- _type] .type = mkarraytype(byte_type), st[r -- _length] .intval = i2 + i, 0 ≤ i, 0 < i2 + i, r = jvmref ∧ r1 = jvmref ∨ r ≠ jvmref ∧ r1 ≠ jvmref ∧ st[r -- _type] = st1[r1 -- _type] ∧ ( is_classtype(st[r -- _type] .type) → (∀ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) → ps=(st[r -- fs '] .refval, st, st1[r1 -- fs '] .refval, st1)) ∧ (∀ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ ¬ is_referencevalue(st[r -- fs ']) → st[r -- fs '] = st1[r1 -- fs '])) ∧ ( is_arraytype(st[r -- _type] .type) → st[r -- _length] .intval = st1[r1 -- _length] .intval ∧ (∀ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) → ps=(st[r -- i '] .refval, st, st1[r1 -- i '] .refval, st1)) ∧ (∀ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ ¬ is_referencevalue(st[r -- i ']) → st[r -- i '] = st1[r1 -- i '])), i3 < i2, 0 < i2, 0 ≤ i2, 0 ≤ i3, is_array(r, st), ∀ i1, st1, r1, i0, r0, st0. i→n(st0[r0 -- _length] .intval - i0) < i→n(i2) → ( st0[r0 -- _type] .type = mkarraytype(byte_type) ∧ ps=(r0, st0, r1, st1) ∧ i0 < st0[r0 -- _length] .intval ∧ i0 + i1 ≤ st0[r0 -- _length] .intval ∧ 0 ≤ i0 ∧ 0 < st0[r0 -- _length] .intval ∧ 0 ≤ i1 → getbytearray(r0, i0, i1, st0) = getbytearray(r1, i0, i1, st1) ∨ r0 = jvmref ∨ junkref(`docs2store', r0, st0)) ⊦ st[r -- i '] .byteval = st1[r1 -- i '] .byteval, r = jvmref, ∃ refs. refs ≠ [] ∧ refs .first = r ∧ junkrefs(`docs2store', refs, st[refs .first -- _type] .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
st[r -- _length] .intval = i2 + i, st[r -- _type] = st1[r1 -- _type], st1[r1 -- _length] .intval = i2 + i, st1[r1 -- _type] .type = mkarraytype(byte_type), is_array(r, st), 0 ≤ i3, 0 ≤ i2, 0 < i2, i3 < i2, 0 < i2 + i, 0 ≤ i, ∀ i0. ¬ i0 < 0 ∧ ¬ i2 + i ≤ i0 ∧ ¬ is_referencevalue(st[r -- i0 ']) → st[r -- i0 '] = st1[r1 -- i0 '], ∀ i0. ¬ i0 < 0 ∧ ¬ i2 + i ≤ i0 ∧ is_referencevalue(st[r -- i0 ']) → ps=(st[r -- i0 '] .refval, st, st1[r1 -- i0 '] .refval, st1), ∀ i1, st1, r1, i0, r0, st0. i→n(st0[r0 -- _length] .intval - i0) < i→n(i2) → ( st0[r0 -- _type] .type = mkarraytype(byte_type) ∧ ps=(r0, st0, r1, st1) ∧ i0 < st0[r0 -- _length] .intval ∧ i0 + i1 ≤ st0[r0 -- _length] .intval ∧ 0 ≤ i0 ∧ 0 < st0[r0 -- _length] .intval ∧ 0 ≤ i1 → getbytearray(r0, i0, i1, st0) = getbytearray(r1, i0, i1, st1) ∨ r0 = jvmref ∨ junkref(`docs2store', r0, st0)) ⊦ r1 = jvmref, r = jvmref, st[r -- i '] .byteval = st1[r1 -- i '] .byteval, ∃ refs. refs ≠ [] ∧ refs .first = r ∧ junkrefs(`docs2store', refs, st[refs .first -- _type] .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ is_arraytype(ty) → ¬ is_classtype(ty)], [CSIMPSEQ : ⊦ ¬ is_arraytype (st[r -- _type] .type) → ¬ is_array(r, st)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0])]]