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Proof step 44 from proof junkrefs-put-refval-01 (previous step)

st[r1 -- i '] = refval(r3), 0 ≤ i, 0 < st[r1 -- _length] .intval, is_array(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), st[r1 -- _type] .type ≤ ty, is_array(str, r1, st), st[r0 -- _type] .type ≤ ty0, i < st[r1 -- _length] .intval, is_referencevalue(st[r1 -- i ']), junkrefs(str, r3 ' + refs, st[r1 -- _type] .type .type, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), ∀ str0, ty1, st0, r, fs, r2. ¬ junkrefs(str0, r3 ' + refs, ty1, st0) ∧ ¬ junkref(str0, r, st0) ∧ st0[r -- _type] .type ≤ fs .type ∧ r ≠ jvmref ∧ fs .type ≠ void_type ∧ fs ' ≠ _length → ¬ junkrefs(str0, r3 ' + refs, ty1, st0[r2 -- fs ', refval(r)]) ⊦ r1 = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, r0 = jvmref, junkref(str, r0, st), ∃ i0. ¬ i0 < 0 ∧ ¬ st[r1 -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r1 -- i0 ']) ∧ r3 = st[r1 -- i0 '] .refval ∧ junkrefs(str, r3 ' + refs, st[r1 -- _type] .type .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 43:
st[r1 -- i '] = refval(r3), junkrefs(str, r3 ' + refs, st[r1 -- _type] .type .type, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), i < st[r1 -- _length] .intval, st[r0 -- _type] .type ≤ ty0, is_array(str, r1, st), st[r1 -- _type] .type ≤ ty, is_array(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), 0 < st[r1 -- _length] .intval, 0 ≤ i, ∀ str0, ty1, st0, r, fs, r2. ¬ junkrefs(str0, r3 ' + refs, ty1, st0) ∧ ¬ junkref(str0, r, st0) ∧ st0[r -- _type] .type ≤ fs .type ∧ r ≠ jvmref ∧ fs .type ≠ void_type ∧ fs ' ≠ _length → ¬ junkrefs(str0, r3 ' + refs, ty1, st0[r2 -- fs ', refval(r)]) ⊦ r0 = jvmref, ty0 = void_type, mkfs(class, ty0, fieldvar) ' = _length, r1 = jvmref, junkref(str, r0, st), ∃ i0. ¬ i0 < 0 ∧ ¬ st[r1 -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r1 -- i0 ']) ∧ r3 = st[r1 -- i0 '] .refval ∧ junkrefs(str, st[r1 -- i0 '] .refval ' + refs, st[r1 -- _type] .type .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]