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Proof step 18 from proof sharing-twopaths (previous step)

# sks1 = # refs0, st[r -- sks] = refval(r0), st[r -- sks0] = refval(refs0 .last), st[r0 -- sks1] = refval(refs0 .last), fits(r0, sks1, st), validrefs(str, r0 ' + refs0, mkclasstype(`java.lang.Object' .class), st), fits(r, sks, st), fits(r, sks0, st) ⊦ refs0 .last = jvmref, r0 = jvmref, sks0 = [], sks = [], sks = sks0, r = jvmref, refs0 = [], fits(r, sks + sks1, st) ∧ fits(r, sks0, st) ∧ sks + sks1 ≠ sks0 ∧ sks + sks1 ≠ [] ∧ sks0 ≠ [] ∧ st[r -- (sks + sks1)] .refval ≠ jvmref ∧ st[r -- (sks + sks1)] = st[r -- sks0], sks ⊑ sks0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
# sks1 = # refs0, st[r -- sks] = refval(r0), st[r -- sks0] = refval(refs0 .last), st[r0 -- sks1] = refval(refs0 .last), fits(r0, sks1, st), validrefs(str, r0 ' + refs0, mkclasstype(`java.lang.Object' .class), st), fits(r, sks, st), fits(r, sks0, st) ⊦ refs0 .last = jvmref, r0 = jvmref, sks0 = [], sks = [], sks = sks0, r = jvmref, refs0 = [], sks + sks1 = sks0, sks ⊑ sks0, st[r -- (sks + sks1)] = refval(refs0 .last) ∧ st[r -- (sks + sks1)] .refval ≠ jvmref ∧ fits(r, sks + sks1, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sks ⊑ sks + sks0], [CSIMPSEQ : ⊦ sks = sks + sks0 ↔ sks0 = []], [CSIMPSEQ : ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPSEQ : ⊦ ¬ sks + sks0 ≠ [] ↔ sks = [] ∧ sks0 = []])]]