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Proof step 124 from proof pathex-put-nopathex (previous step)

is_obj(str, r, st[r0 -- sk, val]) ∧ r ≠ (r1 ' + refs1) .last, st[r -- mkfs(class, ty, fieldvar) '] = refval(r1), is_obj(str, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, r1 ' + refs1, ty, st), path∃(str, r1, r0, st) ∨ junkref(str, r1, st) ∨ path∃(str, r1, (r1 ' + refs1) .last, st[r0 -- sk, val]), ∀ val, r0, sk, st0, r2, str, refs. # refs < # (r1 + refs1) → ( validrefs(str, r2 ' + refs, st0[r2 -- _type] .type, st0) → sk = _type ∨ path∃(str, r2, r0, st0) ∨ junkref(str, r2, st0) ∨ path∃(str, r2, (r2 ' + refs) .last, st0[r0 -- sk, val])) ⊦ sk = _type, r = jvmref, r = r0, ∃ fs. fs ' ∈ instfields((st[r0 -- sk, val][r -- _type]) .type .class) ∧ is_referencevalue(st[r0 -- sk, val][r -- fs ']) ∧ ( (st[r0 -- sk, val][r -- fs ']) .refval ≠ jvmref ∧ (st[r0 -- sk, val][(st[r0 -- sk, val][r -- fs ']) .refval -- _type]) .type ≤ fs .type ∧ path∃(str, (st[r0 -- sk, val][r -- fs ']) .refval, (r1 ' + refs1) .last, st[r0 -- sk, val]) ∨ (st[r0 -- sk, val][r -- fs ']) .refval = jvmref ∧ (r1 ' + refs1) .last = jvmref), (is_reftype(ty) ∨ ty = abstract_type) ∧ r1 ≠ jvmref ∧ (¬ st[r1 -- _type] .type ≤ ty ∨ junkref(str, r1, st)), r1 ≠ jvmref ∧ st[r1 -- _type] .type ≤ ty ∧ path∃(str, r1, r0, st), r1 = jvmref ∧ r0 = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 123:
st[r -- mkfs(class, ty, fieldvar) '] = refval(r1), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, r1 ' + refs1, ty, st), is_obj(str, r, st), path∃(str, r1, r0, st) ∨ junkref(str, r1, st) ∨ path∃(str, r1, (r1 ' + refs1) .last, st[r0 -- sk, val]), ∀ val, r0, sk, st0, r2, str, refs. # refs < # (r1 + refs1) → ( validrefs(str, r2 ' + refs, st0[r2 -- _type] .type, st0) → sk = _type ∨ path∃(str, r2, r0, st0) ∨ junkref(str, r2, st0) ∨ path∃(str, r2, (r2 ' + refs) .last, st0[r0 -- sk, val])) ⊦ sk = _type, r = jvmref, r = r0, r = (r1 ' + refs1) .last, (is_reftype(ty) ∨ ty = abstract_type) ∧ r1 ≠ jvmref ∧ (¬ st[r1 -- _type] .type ≤ ty ∨ junkref(str, r1, st)), r1 ≠ jvmref ∧ st[r1 -- _type] .type ≤ ty ∧ path∃(str, r1, r0, st), r1 = jvmref ∧ r0 = jvmref, ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ ( st[r -- fs '] .refval ≠ jvmref ∧ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∧ path∃(str, st[r -- fs '] .refval, (r1 ' + refs1) .last, st[r0 -- sk, val]) ∨ st[r -- fs '] .refval = jvmref ∧ (r1 ' + refs1) .last = jvmref)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → (st[r0 -- sk0, val][r -- sk]) = st[r -- sk]], [CSIMPSEQ : ⊦ sk ≠ sk0 → (st[r -- sk, val][r0 -- sk0]) = st[r0 -- sk0]], [CSIMPSEQ : ⊦ r ≠ r0 → ( is_obj (str, r0, st[r -- sk, val]) ↔ is_obj(str, r0, st))])]]