| ∀ r3, r2, r1. ¬ (r3 ∈ r ' + r0 ' ∧ r2 ∈ r ' + r0 ' ∧ r3 ≠ r2 ∧ r1 ≠ jvmref ∧ path∃(str, r3, r1, st) ∧ path∃(str, r2, r1, st)), path∃(str, r, r2, st), path∃(str, r0, r2, st), is_valid_ref(str, r2, st) ⊦ r = r0, r2 = jvmref |
path∃(str, r, r2, st), path∃(str, r0, r2, st), is_valid_ref(str, r2, st), ∀ r1, r3, r4. r1 ≠ r ∧ r1 ≠ r0 ∨ r3 ≠ r ∧ r3 ≠ r0 ∨ r1 = r3 ∨ r4 = jvmref ∨ ¬ path∃(str, r1, r4, st) ∨ ¬ path∃(str, r3, r4, st) ⊦ r = r0, r2 = jvmref
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ∈ r0 ' ↔ r = r0], [CSIMPSEQ : ⊦ ¬ r ∈ r0 ' + refs ↔ r ≠ r0 ∧ ¬ r ∈ refs])]]