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Proof step 42 from proof validrefs-putshort-field (previous step)

is_array(str, r0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∧ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- _type]) .type ≤ ty, st[r0 -- _type] .type ≤ ty, is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']), refs1 = [] ∨ (∃ i. 0 ≤ i ∧ i < (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- _length]) .intval ∧ is_referencevalue(st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- i ']) ∧ refs1 .first = (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- i ']) .refval ∧ validrefs (str, refs1, (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- _type]) .type .type, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)])), is_array(str, r0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), ∀ sho, fieldvar, class, r, st, ty, str, refs. # refs < # (r0 + refs1) → ( validrefs(str, refs, ty, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∧ is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']) → refs = [] ∨ junkref(str, refs .first, st) ∨ validrefs(str, refs, ty, st)) ⊦ r0 = jvmref, junkref(str, r0, st), validrefs(str, r0 ' + refs1, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 41:
is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']), is_array(str, r0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), st[r0 -- _type] .type ≤ ty, refs1 = [] ∨ 0 ≤ i ∧ i < (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- _length]) .intval ∧ is_referencevalue(st[r0 -- i ']) ∧ refs1 .first = st[r0 -- i '] .refval ∧ validrefs(str, refs1, st[r0 -- _type] .type .type, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), ∀ sho, fieldvar, class, r, st, ty, str, refs. # refs < # (r0 + refs1) → ( validrefs(str, refs, ty, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∧ is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']) → refs = [] ∨ junkref(str, refs .first, st) ∨ validrefs(str, refs, ty, st)) ⊦ r0 = jvmref, junkref(str, r0, st), validrefs(str, r0 ' + refs1, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (st[r0 -- fs ', val][r -- i ']) = st[r -- i ']], [CSIMPSEQ : ⊦ (st[ r0 -- mkfs (class, short_type, fieldvar) ', val] [r -- _type ] ) = st[r -- _type]])]]