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Proof step 13 from proof validrefs-addarray-junkref (previous step)

is_obj(str, r1, st), st[r1 -- mkfs(class, ty3, fieldvar) '] = refval(r2), newref(r, st), st[r1 -- _type] .type ≤ ty0, is_obj(str, r1, st), mkfs(class, ty3, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), validrefs(str, r2 ' + refs, ty3, addarray(r, ty, vals, st)), ∀ str0, ty1, r0, ty2, vals0, st0. validrefs(str0, r2 ' + refs, ty1, addarray(r0, ty2, vals0, st0)) ∧ newref(r0, st0) ∧ (r0 = r2 ∨ r0 ∈ refs) → junkref(str0, r2, st0) ⊦ r1 = jvmref, r = jvmref, r = r1, ∃ fs. fs ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- fs ']) ∧ st[r1 -- fs '] .refval ≠ jvmref ∧ (¬ st[st[r1 -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r1 -- fs '] .refval, st)), r ≠ r2 ∧ ¬ r ∈ refs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
is_obj(str, r1, st), st[r1 -- mkfs(class, ty3, fieldvar) '] = refval(r2), newref(r, st), st[r1 -- _type] .type ≤ ty0, is_obj(str, r1, st), mkfs(class, ty3, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), validrefs(str, r2 ' + refs, ty3, addarray(r, ty, vals, st)), ∀ str0, ty1, r0, ty2, vals0, st0. validrefs(str0, r2 ' + refs, ty1, addarray(r0, ty2, vals0, st0)) ∧ newref(r0, st0) ∧ (r0 = r2 ∨ r0 ∈ refs) → junkref(str0, r2, st0) ⊦ r1 = jvmref, r = jvmref, r = r1, ∃ fs. fs ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- fs ']) ∧ st[r1 -- fs '] .refval ≠ jvmref ∧ (¬ st[st[r1 -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r1 -- fs '] .refval, st)), r ≠ r2 ∧ ¬ r ∈ refs

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]