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Proof step 52 from proof validrefs-put-badarrayfield-01 (previous step)

is_array(str, r, st) ∧ st[r -- _type] .type ≤ ty, is_array(str, r, st), is_arraytype(st[r0 -- _type] .type), acc = [] ∨ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ acc .first = st[r -- i '] .refval ∧ validrefs(str, acc, st[r -- _type] .type .type, st)), st[r -- _type] .type ≤ ty, ∀ st, r0, str, ty, fs, val. is_arraytype(st[r0 -- _type] .type) ∧ validrefs(str, acc, ty, st) → fs ' = _type ∨ fs ' = _length ∨ acc = [] ∨ junkref(str, acc .first, st) ∨ dups(acc .butlast) ∨ validrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _type, fs ' = _length, r = jvmref, junkref(str, r, st[r0 -- fs ', val]), junkref(str, r, st), dups((r ' + acc) .butlast), validrefs(str, r ' + acc, ty, st[r0 -- fs ', val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 51:
is_array(str, r, st), is_arraytype(st[r0 -- _type] .type), st[r -- _type] .type ≤ ty, ∀ st, r0, str, ty, fs, val. is_arraytype(st[r0 -- _type] .type) ∧ validrefs(str, acc, ty, st) → fs ' = _type ∨ fs ' = _length ∨ acc = [] ∨ junkref(str, acc .first, st) ∨ dups(acc .butlast) ∨ validrefs(str, acc, ty, st[r0 -- fs ', val]), acc = [] ∨ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ acc .first = st[r -- i '] .refval ∧ validrefs(str, acc, st[r -- _type] .type .type, st) ⊦ fs ' = _type, fs ' = _length, r = jvmref, junkref(str, r, st[r0 -- fs ', val]), junkref(str, r, st), dups((r ' + acc) .butlast), validrefs(str, r ' + acc, ty, st[r0 -- fs ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]