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Proof step 146 from proof pseq-sym-01 (previous step)

¬ (is_referencevalue(st1[r1 -- i ']) ∧ ¬ is_reftype(st1[r1 -- _type] .type .type) ∧ 0 ≤ i ∧ i < st1[r1 -- _length] .intval), st1[r1 -- i '] = refval(r2), st[r -- _type] = st1[r1 -- _type], st[r -- _length] .intval = st1[r1 -- _length] .intval, 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), ∀ 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, ps=(r2, st1, st[r -- i '] .refval, st), cyclic(str, r, st), cyclic(str, r1, st1), junkref(str, r, st), junkref(str, r1, st1), ¬ cyclic(str, st[r -- i '] .refval, st) ∧ ¬ cyclic(str, r2, st1) ∧ ¬ junkref(str, st[r -- i '] .refval, st) ∧ ¬ junkref(str, r2, st1), cyclic(str, r2, st1) ∧ is_reftype(st1[r1 -- _type] .type .type) ∧ st1[r2 -- _type] .type ≤ st1[r1 -- _type] .type .type

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 145:
st[r -- _length] .intval = st1[r1 -- _length] .intval, st[r -- _type] = st1[r1 -- _type], st1[r1 -- i '] = refval(r2), is_array(str, r, st), is_array(str, r1, st1), 0 < st1[r1 -- _length] .intval, 0 ≤ i, is_arraytype(st1[r1 -- _type] .type), i < st1[r1 -- _length] .intval, ps=(st[r -- i '] .refval, st, r2, st1), is_reftype(st1[r1 -- _type] .type .type), ∀ 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)))) ⊦ r = jvmref, r1 = jvmref, junkref(str, r1, st1), junkref(str, r, st), cyclic(str, r1, st1), cyclic(str, r, st), ps=(r2, st1, st[r -- i '] .refval, st), ¬ cyclic(str, st[r -- i '] .refval, st) ∧ ¬ cyclic(str, r2, st1) ∧ ¬ junkref(str, st[r -- i '] .refval, st) ∧ ¬ junkref(str, r2, st1), cyclic(str, r2, st1) ∧ st1[r2 -- _type] .type ≤ st1[r1 -- _type] .type .type

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]