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Proof step 95 from proof pathex-put-pathex-array-refval (previous step)

¬ (r0 ≠ jvmref ∧ (¬ is_valid_ref(str, r0, st[r0 -- i ', refval(r2)]) ∨ ¬ (st[r0 -- i ', refval(r2)][r0 -- _type]) .type ≤ mkarraytype(ty))), refs1 + r0 ' = r1 ' + refs0, list2set(refs1) ∩ list2set(refs) = ∅, st[r0 -- _type] .type = mkarraytype(ty), validrefs(str, refs1 + r0 ' + refs, st[r1 -- _type] .type, st[r0 -- i ', refval(r2)]), 0 ≤ i, 0 < st[r0 -- _length] .intval, validref(str, r2, ty, st), i < st[r0 -- _length] .intval, path∃(str, r, r0, st), validrefs(str, r ' + refs1 + r0 ' + refs, st[r -- _type] .type, st[r0 -- i ', refval(r2)]), validrefs(str, r0 ' + refs, mkarraytype(ty), st[r0 -- i ', refval(r2)]), r2 = jvmref → is_reftype(ty) ⊦ r = r0, r0 = jvmref, r = (r0 ' + refs) .last, r ∈ refs, r ∈ refs1, path∃(str, r2, (r0 ' + refs) .last, st), path∃(str, r, (r0 ' + refs) .last, st), dups(refs1), dups(refs), r0 ∈ refs1, r0 ∈ refs, r0 ≠ r1 ∧ ¬ r0 ∈ refs0, ¬ r1 ∈ refs1 ∧ r1 ≠ r0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 94:
st[r0 -- _type] .type = mkarraytype(ty), list2set(refs1) ∩ list2set(refs) = ∅, refs1 + r0 ' = r1 ' + refs0, is_valid_ref(str, r0, st[r0 -- i ', refval(r2)]), validrefs(str, r0 ' + refs, mkarraytype(ty), st[r0 -- i ', refval(r2)]), validrefs(str, r ' + refs1 + r0 ' + refs, st[r -- _type] .type, st[r0 -- i ', refval(r2)]), path∃(str, r, r0, st), i < st[r0 -- _length] .intval, validref(str, r2, ty, st), 0 < st[r0 -- _length] .intval, 0 ≤ i, validrefs(str, refs1 + r0 ' + refs, st[r1 -- _type] .type, st[r0 -- i ', refval(r2)]), r2 = jvmref → is_reftype(ty) ⊦ r = (r0 ' + refs) .last, r0 = jvmref, r = r0, r0 ∈ refs, r0 ∈ refs1, dups(refs), dups(refs1), path∃(str, r, (r0 ' + refs) .last, st), path∃(str, r2, (r0 ' + refs) .last, st), r ∈ refs1, r ∈ refs, ¬ r1 ∈ refs1 ∧ r1 ≠ r0, r0 ≠ r1 ∧ ¬ r0 ∈ refs0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javatype, , test-09, ⊦ is_arraytype(mkarraytype(ty))], [CSIMPNAMEDSEQ : typefuns, , ref, ⊦ ty ≤ ty], [CSIMPNAMEDSEQ : javatype, , sel-01, ⊦ mkarraytype(ty) .type = ty], [CSIMPNAMEDSEQ : typefuns, , array, ⊦ ty0 ≤ mkarraytype(ty) ↔ is_arraytype(ty0) ∧ ty0 .type ≤ ty], [CSIMPNAMEDSEQ : javastore, , type-at, ⊦ (st[r -- i ', val] [r0 -- _type ] ) = st[r0 -- _type]])]]