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Proof step 11 from proof pathex-array (previous step)

¬ ( st[r -- i '] .refval ≠ jvmref ∧ (¬ is_valid_ref(str, st[r -- i '] .refval, st) ∨ ¬ st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type)), 0 ≤ i, 0 < st[r -- _length] .intval, is_array(str, r, st), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), validrefs(str, st[r -- i '] .refval ' + refs, st[r -- _type] .type .type, st) ⊦ r = (st[r -- i '] .refval ' + refs) .last, st[r -- i '] .refval ≠ jvmref ∧ st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∧ path∃(str, st[r -- i '] .refval, (st[r -- i '] .refval ' + refs) .last, st), st[r -- i '] .refval = jvmref ∧ (st[r -- i '] .refval ' + refs) .last = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
validrefs(str, st[r -- i '] .refval ' + refs, st[r -- _type] .type .type, st), is_referencevalue(st[r -- i ']), i < st[r -- _length] .intval, is_array(str, r, st), 0 < st[r -- _length] .intval, 0 ≤ i ⊦ r = (st[r -- i '] .refval ' + refs) .last, st[r -- i '] .refval ≠ jvmref ∧ (¬ is_valid_ref(str, st[r -- i '] .refval, st) ∨ ¬ st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type), st[r -- i '] .refval = jvmref ∧ (st[r -- i '] .refval ' + refs) .last = jvmref, st[r -- i '] .refval ≠ jvmref ∧ st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∧ path∃(str, st[r -- i '] .refval, (st[r -- i '] .refval ' + refs) .last, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]