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Proof step 56 from proof hasSharing-addobj-same (previous step)

validreflist(str, mkjavavalues(fis .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st), st[r2 -- sks] = refval(r0), fis .keys = instfields(class), st[r1 -- sks1] = refval(r0), fis[sk] = refval(r1), fis[sk0] = refval(r2), r2 -- sks ∈ st, r1 -- sks1 ∈ st, sk0 ∈ fis, sk0 ∈ instfields(class), fits(r2, sks, st), newref(r, st), validfieldinits(str, fis, st), sk ∈ fis, is_referencevalue(addobj(r, class, fis, st)[r -- (sk0 ' + sks)]), ∀ r1, sks1, r2, sks2. ¬ ( r1 ∈ fis .vals .nonnullrefs ∧ r2 ∈ fis .vals .nonnullrefs ∧ r1 ≠ r2 ∧ fits(r1, sks1, st) ∧ fits(r2, sks2, st) ∧ st[r1 -- sks1] = st[r2 -- sks2] ∧ st[r1 -- sks1] .refval ≠ jvmref), is_referencevalue(addobj(r, class, fis, st)[r -- (sk ' + sks1)]), sk ∈ instfields(class), fits(r1, sks1, st) ⊦ r1 = r2, sk = sk0, r = jvmref, sk0 ' + sks = sk ' + sks1, r0 = jvmref, dups(fis .vals .nonnullrefs), hasSharing(fis .vals .nonnullrefs, st), junkref(str, r, addobj(r, class, fis, st)), junkref(str, r1, st), junkref(str, r2, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 55:
st[r2 -- sks] = refval(r0), fis .keys = instfields(class), st[r1 -- sks1] = refval(r0), fis[sk] = refval(r1), fis[sk0] = refval(r2), validreflist(str, mkjavavalues(fis .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st), r2 -- sks ∈ st, r1 -- sks1 ∈ st, sk0 ∈ fis, sk0 ∈ instfields(class), fits(r2, sks, st), newref(r, st), validfieldinits(str, fis, st), sk ∈ fis, is_referencevalue(addobj(r, class, fis, st)[r -- (sk0 ' + sks)]), is_referencevalue(addobj(r, class, fis, st)[r -- (sk ' + sks1)]), sk ∈ instfields(class), fits(r1, sks1, st), ∀ r3, sks0, r4, sks2. ¬ r3 ∈ fis .vals .nonnullrefs ∨ ¬ r4 ∈ fis .vals .nonnullrefs ∨ r3 = r4 ∨ ¬ fits(r3, sks0, st) ∨ ¬ fits(r4, sks2, st) ∨ st[r3 -- sks0] ≠ st[r4 -- sks2] ∨ st[r3 -- sks0] .refval = jvmref ⊦ r1 = r2, sk = sk0, r = jvmref, sk0 ' + sks = sk ' + sks1, r0 = jvmref, dups(fis .vals .nonnullrefs), hasSharing(fis .vals .nonnullrefs, st), junkref(str, r, addobj(r, class, fis, st)), junkref(str, r1, st), junkref(str, r2, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]