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Proof step 177 from proof cyclic-pseq (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 176:
st[r2 -- _length] .intval = st1[r1 -- _length] .intval, st[r2 -- _type] = st1[r1 -- _type], is_valid_ref(str, st[r2 -- i '] .refval, st), validrefs(str, (st[r2 -- i '] .refval ' + refs) + r2 ', st1[r1 -- _type] .type .type, st), is_referencevalue(st[r2 -- i ']), i < st1[r1 -- _length] .intval, is_array(str, r1, st1), is_array(str, r2, st), is_arraytype(st1[r1 -- _type] .type), ps=(st[r2 -- i '] .refval, st, st1[r1 -- i '] .refval, st1), 0 < st1[r1 -- _length] .intval, 0 ≤ i, validrefs(str, st[r2 -- i '] .refval ' + refs + r2 ', st[st[r2 -- i '] .refval -- _type] .type, st), ∀ i. ¬ i < 0 ∧ ¬ st1[r1 -- _length] .intval ≤ i ∧ ¬ is_referencevalue(st[r2 -- i ']) → st[r2 -- i '] = st1[r1 -- i '], ∀ st, r, st0, r0, str0. maxpath(str0, r0, st0) < maxpath(str, r1, st1) → (ps=(r, st, r0, st0) ∧ cyclic(str0, r, st) → junkref(str0, r, st) ∨ junkref(str0, r0, st0) ∨ cyclic(str0, r0, st0)) ⊦ r2 = st[r2 -- i '] .refval, r1 = jvmref, r2 = jvmref, validrefs(str, st[r2 -- i '] .refval ' + refs + r2 ' + st[r2 -- i '] .refval ', st[st[r2 -- i '] .refval -- _type] .type, st), r2 ∈ refs, st[r2 -- i '] .refval ∈ refs, dups(refs), junkref(str, r2, st), junkref(str, r1, st1), cyclic(str, r1, st1), type∃(str, st[st[r2 -- i '] .refval -- _type] .type) ∧ st[st[r2 -- i '] .refval -- _type] .type ≤ st1[r1 -- _type] .type .type, st[r2 -- i '] .refval ≠ jvmref ∧ ¬ st[st[r2 -- i '] .refval -- _type] .type ≤ st1[r1 -- _type] .type .type

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]