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Proof step 125 from proof pseq-sym-01 (previous step)

st1[r1 -- i '] = refval(r2), st[r -- _type] = st1[r1 -- _type], st[r -- _length] .intval = st1[r1 -- _length] .intval, is_reftype(st1[r1 -- _type] .type .type), ps=(st[r -- i '] .refval, st, r2, st1), i < st1[r1 -- _length] .intval, is_arraytype(st1[r1 -- _type] .type), 0 ≤ i, 0 < st1[r1 -- _length] .intval, is_array(str, r1, st1), is_array(str, r, st), st1[r2 -- _type] .type ≤ st1[r1 -- _type] .type .type, is_referencevalue(st[r -- i ']), ∀ i. ¬ i < 0 ∧ ¬ st1[r1 -- _length] .intval ≤ i ∧ ¬ is_referencevalue(st[r -- i ']) → st[r -- i '] = st1[r1 -- i '], ∀ st, r, st0, r0, str0. maxpath(str0, r0, st0) < maxpath(str, r1, st1) → ( true → ( ¬ cyclic(str0, r, st) ∧ ¬ cyclic(str0, r0, st0) ∧ ¬ junkref(str0, r, st) ∧ ¬ junkref(str0, r0, st0) → (ps=(r, st, r0, st0) → ps=(r0, st0, r, st)))) ⊦ r1 = jvmref, r = jvmref, r2 = jvmref, ps=(r2, st1, st[r -- i '] .refval, st), cyclic(str, r, st), cyclic(str, r1, st1), junkref(str, r2, st1), cyclic(str, r2, st1), ¬ cyclic(str, st[r -- i '] .refval, st) ∧ ¬ junkref(str, st[r -- i '] .refval, st), cyclic(str, st[r -- i '] .refval, st) ∧ st[st[r -- i '] .refval -- _type] .type ≤ st1[r1 -- _type] .type .type, st[r -- i '] .refval ≠ jvmref ∧ (¬ st[st[r -- i '] .refval -- _type] .type ≤ st1[r1 -- _type] .type .type ∨ junkref(str, st[r -- i '] .refval, st))

User applied rule cut formula

And closed the goal!

Rule argument

[fma-arg: st[r -- i '] .refval ≠ jvmref]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ cyclic(str, jvmref, st)], [CSIMPSEQ : ⊦ ¬ junkref(str, jvmref, st)])], [EXTRAFMAS : (st[r -- i '] .refval ≠ jvmref)]]