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Proof step 21 from proof cyclic-put-badclassfield (previous step)

refs = r2 + refs1 ∧ refs ≠ [], r1 ∈ refs, validrefs(str, refs + r1 ', st[r2 -- _type] .type, st), is_classtype(st[r0 -- _type] .type) ⊦ fs ' = _type, junkref(str, r2, st), fs ' ∈ instfields(st[r0 -- _type] .type .class), dups(refs), ∃ refs0, r. ¬ dups(refs0) ∧ r ∈ refs0 ∧ refs0 .first = r2 ∧ validrefs(str, refs0 + r ', st[r2 -- _type] .type, st[r0 -- fs ', val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
is_classtype(st[r0 -- _type] .type), validrefs(str, (r2 ' + refs1) + r1 ', st[r2 -- _type] .type, st) ⊦ fs ' = _type, junkref(str, r2, st), fs ' ∈ instfields(st[r0 -- _type] .type .class), dups(refs1), r2 ∈ refs1, r1 ≠ r2 ∧ ¬ r1 ∈ refs1, ∃ refs, r. ¬ dups(refs) ∧ r ∈ refs ∧ refs .first = r2 ∧ validrefs(str, refs + r ', st[refs .first -- _type] .type, st[r0 -- fs ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ dups(r ' + refs) ↔ dups(refs) ∨ r ∈ refs], [CSIMPSEQ : ⊦ r ∈ r0 ' ↔ r = r0], [CSIMPSEQ : ⊦ r ∈ refs + refs0 ↔ ¬ ¬ (r ∈ refs ∨ r ∈ refs0)], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]